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Multi-Step Equation Worksheets

A huge collection of printable multi-step equations worksheets involving integers, fractions and decimals as coefficients are given here for abundant practice. Solving and verifying equations, applications in geometry and MCQs are included in this section for 7th grade and 8th grade students. We offer some free worksheets too!

Solving Equations Involving Integers: Level 1

Solving Equations Involving Integers: Level 1

In these 'Level 1' worksheets, solve each multi-step equation to find the value of the unknown variable. Five exclusive pdfs are here for practice.

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Solving Equations Involving Integers: Level 2

Solving Equations Involving Integers: Level 2

These 'Level 2' multi-step equations may involve a few more steps to arrive the solution than level 1. A plenty of practice worksheets are available here.

Solving Equations Involving Fractions

Solving Equations Involving Fractions

These printable worksheets have equations whose coefficients are fractions and integers. Solve each multi-step equation. Eight questions are given per worksheet.

problem solving multiple step problems practice 11 7 answers

Solving Equations Involving Decimals

In these pdf worksheets for grade 7 and grade 8, perform the basic arithmetic operation and solve the multi-step equations having decimal numbers as coefficients.

Solving Equations: Mixed Review

Solving Equations: Mixed Review

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Equation Word Problems Worksheets

Equation Word Problems Worksheets

Read the word problems and write down the equations. Solve them in one, two or more steps to find the solution.

(30 Worksheets)

Solve and Verify the Solution

Solve and Verify the Solution

In these pdf worksheets, solve the multi-step equations and verify your solution by substituting the value of the unknown variable to the equation.

Translating Multi-Step Equation

Translating Multi-Step Equation

Translate the given phrases to algebraic equations. Three exclusive practice sheets are available here for students.

Equations in Geometry: Type 1

Equations in Geometry: Type 1

Nine geometric shapes are shown in each worksheet. Their sides are given in the form of expressions. Solve them to find the unknown variable.

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Area and Perimeter - Shapes: Type 2

In these printable worksheets, the area and perimeter of nine shapes are given. Use the given expressions and apply the area and perimeter formula to solve them.

Equations in Geometry: Type 3

Equations in Geometry: Type 3

A collection of word problems involving properties of shapes are given. Set up the equation and solve each multi-step equation.

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» One-Step Equation

» Two-Step Equation

» Translating Phrases

» Simplifying Algebraic Expressions

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This is level 1; Addition and subtraction multi-step problems. You can earn a trophy if you get at least 7 questions correct.

1. This morning I had 70p. I spent 17p on a pencil and 31p on a notepad. How much do I now have left?

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2. A train starts from Ayton with 90 passengers. At Beytown 24 more passengers board the train and 32 get off. How many passengers are now on the train?

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3. Today Sally started reading a book which has 926 pages. She read 182 pages this morning and read 277 pages this afternoon. How many pages are left to read?

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4. A bus is travelling from the north of Rombodia to the south. This is a journey that will take three days and cover a distance of 701 miles. On the first day 196 miles are covered. On the second day 309 miles are covered. How many miles are left to travel during the last day?

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5. The temperature in the incubator started at 15° but soon rose by 14°. By the end of the day though it had cooled down 5°. What was the temperature at the end of the day?

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10. The lottery prize was £1000. Ruby decided to share it with family members as follows: Mum:£170, Dad:£190, Gran:£180, Billy:£120 and Bobby:£100. How much was left for Ruby?

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Multi-Step Equations

How to solve multi-step equations.

The word “multi” means more than two, or many. That’s why solving multi-step equations are more involved than one-step and two-step equations because they require more steps.

The main goal in solving multi-step equations, just like in one-step and two-step equations, is to isolate the unknown variable on one side of the equation while keeping the constant or number on the opposite side.

However, there is no rule on where to keep the variable. It all depends on your preference. The “standard” or usual way is to have it on the left side. But there are cases when it makes more sense to keep it on the right side of the equation.

Since we are dealing with equations, we need to keep in mind that whatever operation we perform on one side must also be applied on the other to keep the equation “balanced”.

This concept of performing the same operation on both sides applies to the four arithmetic operations, namely: addition, subtraction, multiplication, and division. For example, if we add 5 on the left side of the equation we must also add 5 on the right side.

Key steps to remember:

  • Get rid of any grouping symbols such as square brackets, parentheses, etc, by applying the Distributive Property of Multiplication over Addition.
  • Simplify both sides of the equation, if possible, by combining like terms.
  • Decide where you want to keep the variable because that will help you decide where to place the constant.
  • Eliminate numbers or variables by applying opposite operations: addition and subtraction are opposite operations as in the case of multiplication and division.

Examples of How to Solve Multi-Step Equations

Example 1: Solve the multi-step equation below.

7x+3=2x+13

This is a typical problem in multi-step equations where there are variables on both sides. Notice that there is no parenthesis in this equation and no like terms to combine on both sides of the equation.

Clearly, our first step is to decide where to keep or isolate the unknown variable [latex]x[/latex]. Since [latex]7x[/latex] is “larger” than [latex]2x[/latex], then we might as well keep it to the left side. This means we will have to get rid of the [latex]2x[/latex] on the right side. To do that, we need to subtract both sides of the equation by [latex]2x [/latex] because the opposite of [latex]+2x[/latex] is [latex]-2x[/latex].

After doing so, it is nice to see just the variable x on the left side. This implies that we have to move all the constants to the right side by eliminating [latex]+3[/latex] on the left side. The opposite of [latex]+3[/latex] is [latex]-3[/latex], therefore, we will subtract both sides by [latex]3[/latex].

The last step is to isolate the variable [latex]x[/latex] by itself on the left side of the equation. Since [latex]+5[/latex] is multiplying [latex]x[/latex], then its opposite operation is to divide by [latex]+5[/latex]. So, we are going to divide both sides by [latex]5[/latex], and then we are done!

the complete solution to the multi-step linear equation 7x+3=2x+13 is the following: 7x+3=2x+.3 → 7x-2x+3=2x-2x+13 →5x+3=13 →5x+3-3=13-3 → 5x=10 → (5x)/5 = 10/5 → x=2/

Example 2: Solve the multi-step equation below.

-3x-32=-2(5-4x)

Our very first step should be to get rid of the parenthesis by applying the Distributive Property of Multiplication over Addition. That is, multiply [latex] -2[/latex] inside each term in the parenthesis [latex](5-4x)[/latex].

Now, it is time to decide where to keep the unknown variable [latex]x[/latex]. If you decide to keep the variable on the left side, that is perfectly fine.

However, for practice, let’s try keeping it on the right side. We should arrive at the same answers.

To get rid of the [latex]-3x[/latex] on the left side, we add both sides by [latex]3x[/latex] since the opposite of [latex]-3x[/latex] is [latex]+3x[/latex]. After we simplify by adding both sides by [latex]3x[/latex], we obtain this less messy equation.

It’s nice to see the variable x just on the right side. So, we have to move all the constants to the left side.

Clearly, the [latex]-10[/latex] on the right must be removed. The opposite of [latex]-10[/latex] is [latex]+10[/latex], therefore, we will add both sides by [latex]10[/latex]. The last step is to isolate the variable [latex]x[/latex] by itself on the right side of the equation.

Since [latex]+11[/latex] is multiplying [latex]x[/latex], then its opposite operation is to divide by [latex]+11[/latex]. So, we are going to divide both sides by [latex]11[/latex] and we are done!

this is the full solution of the linear equation with variables on both sides and a parenthesis on just one side. -3x-32=-2(5-4x) → -3x-32=-10+8x → -32 = -10+11x → -32+10=-10+10+11x → -22 = 11x → (-22/11)=(11x)/11 → x=-2.

Example 3: Solve the multi-step equation below.

-3x-4(4x-8)=3(-8x-1)

Our first step should be to eliminate the parentheses on BOTH sides of the equation by applying the Distributive property. For the left side, multiply [latex]-4[/latex] inside each term of the parenthesis [latex](4x-8)[/latex] and for the right side, multiply [latex]+3[/latex] inside the parenthesis [latex](-8x-1)[/latex].

Now, before we even decide which side of the equation to isolate the variable, it looks like we have to perform some house cleaning. We need to combine like terms (the x’s ) on the left side of the equation.

Again it doesn’t matter which side to isolate the variable being solved. Say, we decided to keep it on the left.

That means we have to get rid of the [latex]-24x[/latex] on the right side. The opposite of [latex]-24x[/latex] is [latex]+24x[/latex] so we are going to add both sides by [latex]24x[/latex].

Next, we have to move all the constants to the right side of the equation. That [latex]+32[/latex] on the left side must go! The opposite of [latex]+32[/latex] is [latex]-32[/latex], so then we will subtract both sides by [latex]32[/latex].

The last step is to isolate the variable [latex]x[/latex] by itself on the left side of the equation. Since [latex]+5[/latex] is multiplying [latex]x[/latex], then its opposite operation is to divide by [latex]+5[/latex]. And so, let’s divide both sides by [latex]5[/latex] and we are done!

complete answer to the muti step equation with variables and parentheses on both sides of the equations. we show that -3x-4(4x-8)=3(-8x-1) → -3x-16x+32 = -24x-3 → -19x+32 = -24x-3 → 5x+32 = -3 → 5x = -35 → (5x)/5 = -35 → x=-7

Example 4: Solve the equation [latex]13x – 9x + 20 = 30 + 2[/latex].

Step-by-Step Solution:

1) Combine the variables on the left side of the equation. That is, [latex]13x – 9x=4x[/latex]. Also, simplify the constants on the right side which gives us [latex]30+2=32[/latex].

2) Get rid of [latex]20[/latex] on the left side by subtracting [latex]20[/latex] on both sides of the equation.

3) To solve for [latex]x[/latex], divide both sides by [latex]4[/latex] to get [latex]x=3[/latex].

the solution to the linear equation that requires more than two steps. we show that 13x-9x+20=30+2 → 4x+20-20=32-20 → 4x = 12 → (4x)/4 = 12/4 → x=3.

Example 5: Solve the equation below.

six y minus ten y minus eleven equals eight y minus two y plus twenty-nine

1) Combine like terms on both sides.

2) Subtract [latex]6y[/latex] on both sides to keep the variable [latex]y[/latex] to the left side only.

3) Add [latex]11[/latex] to both sides of the equation.

4) Finally, divide both sides by [latex]-10[/latex] to get the solution.

6y-10y-11 = 8y-2y+29 → -10y-11 = 29 → -10y = 40 → y=-4

Example 6: Solve the equation below.

negative twelve minus five minus nine plus four m equals eight m minus thirteen m plus fifteen minus eight

1) Combine the similar terms with variable [latex]m[/latex], and constants on both sides of the equation.

2) Add [latex]5m[/latex] to both sides of the equation. It will keep the variable on the left side and eliminate the variable on the right.

3) Add [latex]14[/latex] to both sides.

4) The last step is to divide the one-step equation by [latex]-3[/latex] to get the value of [latex]m[/latex].

step-by-step solution to the following multi-step equation without parenthesis. -12m+4m-5-9=8m-13m+15-8 → -8m - 14 = -5m+7 → -8m+5m-14 = -5m+5m+7 → -3m-14 = 7 → -3m - 14 +14 = 7+14 → -3m = 21 → (-3m)(-3) = 21/-3 → m=-7

Example 7: Solve the equation [latex]2\left( {x – 5} \right) = 5x + 23[/latex].

1) Eliminate the parenthesis on the left side of the equation by distributing the number outside the parenthesis into the binomial inside.

2) This time, for convenience, we will keep the variable to the right side. To do that, we subtract [latex]2x[/latex] on both sides of the equation.

3) Next, subtract [latex]23[/latex] to both sides of the equation.

4) This leaves to simply divide both sides by the coefficient of [latex]3x[/latex] which is [latex]3[/latex] to get the value of [latex]x[/latex].

solution to the linear equation with variables on both and requiring more than two steps to solve. 2(x-5) = 5x+23 → 2x-10=5x+23 → 2x-2x-10=5x-2x+23 →-10=3x+23 → -33 = 3x →(-33/3) = (3x)/x →-11 = x or x= -11

Example 8: Solve the equation below.

fives times the quantity three h minus nine equals twelve minus seven times the quantity h minus 9

1) Remove the two parentheses on both sides of the linear equation by applying the Distributive Property of Multiplication over Addition.

2) Combine the constants on both sides. This will clean up the equation tremendously.

3) Add [latex]7h[/latex] to both sides to keep the term with a variable on the left while eliminating the one on the right.

4) Add [latex]57[/latex] on both sides of the equation to keep the constant on the right.

5) Divide both sides by [latex]22[/latex] to get the final solution. That’s it!

here's the solution to the multi step equation 5(3h-9)-12=12-7(h-9) →15h-45-12=12-7h+63→ 15h-57=75-7h→22h-57=75 →22h=132 →h = 132/22 → h=6

You might also like these tutorials:

  • Solving One-Step Equations
  • One-Step Equations Practice Problems with Answers
  • Solving Two-Step Equations

Solving Multi-Step Equations

In these lessons, we will learn how to

  • Solve multi-step equations with whole numbers
  • Solve multi-step equations with fractions
  • Solve multi-step equations with decimals

Related Pages Solving Algebraic Equations More Algebra Lessons

Solving multi-step equations with whole numbers

The following diagram shows how to solve multi-step equations. Scroll down the page for more examples and solutions.

Solve Multi-Step Equations

To solve a multi-step equation, we would start by trying to simplify the equation by combining like terms and using the distributive property whenever possible.

Consider the equation 2(x + 1) – x = 5. First, we will use the distributive property to remove the parenthesis and then we can combine like terms and then isolate the variable.

Example: Solve 2(x + 1) – x = 5

Solution: 2(x + 1) – x = 5 2x + 2 – x = 5 (use distributive property) x + 2 = 5 (combine like terms) x + 2 – 2 = 5 – 2 x = 3

How to solve multi-step equations by combining like terms and using the distributive property?

  • 4x + 2x - 3x = 27
  • 4a + 1 - a = 19
  • 4(y - 1) = 36
  • 16 = 2(x - 1) - x

Use distributive property to simplify multi-step equations

  • 7(w + 20) - w = 5
  • 9(x - 2) = 3x + 3
  • Lydia inherited a sum of money. She split it into five equal chunks. She invested three parts of the money in a high interest bank account which added 10% to the value. She placed the rest of her inheritance plus $500 in the stock market but lost 20% on that money. If the two accounts end up exactly the same amount of money in them, how much did she inherit?

Solving Multi-Step Equations With Fractions

To solve an equation with fractions, we first try to change it into an equation without fractions. Then, we can solve it using the methods we already know.

How to solve multi-step equations with fractions?

  • 1/4 x + 3 = 2
  • 1/2 (k - 8) = 6
  • 1/2 d + 2 = 3/4
  • -3/4 x + 1/4 = 1/2

How to solve Multi-Step Equations with Fractions & Decimals?

  • 3/2 n - 6 = 22
  • 2/5 x + 2 = 3/4
  • 0.035m + 9.95 = 12.75

Solving Multi-Step Equations With Decimals

The steps involved in solving multi-step equations with decimals are the same as those in equations with whole numbers. The complication may lie more in the multiplication and division of decimals rather than the steps. Another method would be to multiply each term of the equation by ten (or hundred) to convert the decimals to whole numbers and then solve the equation.

How to solve multi-step equations with decimals?

  • 0.4x + 9.2 = 10
  • 0.4(a + 2) = 2
  • 1.2c + 2.6c = 4.56

How to solve multiple step linear equations involving decimals?

  • Remove parentheses by using the distributive property. Then combine like terms on each side.
  • Add or subtract, as needed, to get all variable terms on one side and all constant terms on the other. Then combine like terms.
  • Multiply or divide to solve for the variable.
  • Check all possible solutions.

Examples: Solve each equation.

  • 1.2x - 5.12 - 0.9x = 1.6
  • 5x - 0.2(x - 4.2) = 1.8

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Solving Multi-Step Equations

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Practice Problems

Solve for x, \(\textbf{1)}\) \(3x+2=14\) show answer the answer is \(x=4\), \(\textbf{2)}\) \(5x-2=8\) show answer the answer is \(x=2\), \(\textbf{3)}\) \(\displaystyle\frac{x}{3}-7=2\) show answer the answer is \(x=27\), \(\textbf{4)}\) \(\displaystyle\frac{x}{5}+2=4\) show answer the answer is \(x=10\), \(\textbf{5)}\) \(\displaystyle\frac{x+2}{3}=2\) show answer the answer is \(x=4\), \(\textbf{6)}\) \(\displaystyle\frac{x-4}{5}=2\) show answer the answer is \(x=14\), \(\textbf{7)}\) \(3x+5=7x-3\) show answer the answer is \(x=2\), \(\textbf{8)}\) \(2x-1=4x-5\) show answer the answer is \(x=2\), \(\textbf{9)}\) \(\displaystyle\frac{x}{5}+\displaystyle\frac{x}{6}=11\) show answer the answer is \(x=30\), \(\textbf{10)}\)\(\displaystyle\frac{x}{2}+\displaystyle\frac{x}{3}=5\) show answer the answer is \(x=6\), \(\textbf{11)}\) \(4− (2− 3x) = 9\) show answer \(x = \displaystyle\frac{7}{3}\) show work \(4+ -1(2− 3x) = 9 \,\,\,\) (rewrite to clarify) \(4 -2 + 3x = 9 \,\,\,\) (distribute the -1) \(2 + 3x = 9 \,\,\,\) (simplify) \(3x = 7 \,\,\,\) (subtract 2 from both sides) \(x = \displaystyle\frac{7}{3} \,\,\,\) (divide both sides by 3), \(\textbf{12)}\) \(3(2x+5)-4(x-1)=23\) show answer the answer is \(x=2\), \(\textbf{13)}\) \(2(3x+5)-3(4x-3)=13\) show answer the answer is \(x=1\), \(\textbf{14)}\) \(2x-5=10\) show answer the answer is \(x=7.5\) or \(7 \frac{1}{2}\), challenge problems, solve for z, \(\textbf{15)}\) \(zx+ry=n\) show answer the answer is \(z=\displaystyle\frac{n-ry}{x}\), \(\textbf{16)}\) \(zx+zny=m\) show answer the answer is \(z=\displaystyle\frac{m}{x+ny}\), see related pages\(\), \(\bullet\text{ equation calculator }\) \(\,\,\,\,\,\,\,\,\text{(symbolab.com)}\), \(\bullet\text{ equation solver calculator (symbolab.com)}\) \(\,\,\,\,\,\,\,\,2x+5=11…\), \(\bullet\text{ solving equations by addition and subtraction}\) \(\,\,\,\,\,\,\,\,x+3=4…\), \(\bullet\text{ solving equations by multiplication and division}\) \(\,\,\,\,\,\,\,\,8x=48…\), \(\bullet\text{ solving multi-step equations}\) \(\,\,\,\,\,\,\,\,3x+2=14…\), \(\bullet\text{ solving equations with variables on both sides}\) \(\,\,\,\,\,\,\,\,3x+5=7x-3…\), \(\bullet\text{ solving equations with decimals}\) \(\,\,\,\,\,\,\,\,43.5+0.2x=51.1…\), \(\bullet\text{ solving equations with fractions}\) \(\,\,\,\,\,\,\,\,\frac{2}{5}x+\frac{2}{3}=\frac{8}{3}…\), \(\bullet\text{ andymath homepage}\).

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Solving equations involves finding the value of a variable by manipulating and rearranging algebraic equations with multiple steps. These equations typically have multiple terms on one or both sides of the equal sign and may involve the use of the distributive property and combining like terms. Learning about solving equations is important because it helps us understand how to solve real-world problems involving algebra. It also helps us develop critical thinking and problem-solving skills, which are valuable in many different fields.

Real world examples of solving equations, a carpenter is building a bookshelf that is 8 feet long. the carpenter wants to divide the bookshelf into 3 equal sections. how long should each section be a store is selling bags of apples for $4 each. if a customer buys 7 bags, how much will they spend in total a runner runs a total of 20 miles in 5 days. on average, how many miles does the runner run per day a swimmer swims a total of 50 laps in a pool that is 25 meters long. how far did the swimmer swim in total a baker needs to bake a cake that serves 12 people. if the baker only has enough ingredients to make a cake that serves 9 people, how much more of each ingredient does the baker need to buy, about andymath.com, andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. if you have any requests for additional content, please contact andy at [email protected] . he will promptly add the content. topics cover elementary math , middle school , algebra , geometry , algebra 2/pre-calculus/trig , calculus and probability/statistics . in the future, i hope to add physics and linear algebra content. visit me on youtube , tiktok , instagram and facebook . andymath content has a unique approach to presenting mathematics. the clear explanations, strong visuals mixed with dry humor regularly get millions of views. we are open to collaborations of all types, please contact andy at [email protected] for all enquiries. to offer financial support, visit my patreon page. let’s help students understand the math way of thinking thank you for visiting. how exciting.

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Solving Multi-Step Equations: Explanations, Review, and Examples

  • The Albert Team
  • Last Updated On: February 16, 2023

Solving Multi-Step Equations: Explanations, Review, and Examples

Whether you’re new to solving multi-step equations or simply studying before that big chapter test, Albert has you covered!

This blog post will guide you through defining multi-step equations, examples of multi-step equations, and how to solve multi-step equations (including problems with fractions and words). Let’s go!

Return to the Table of Contents

What We Review

What is a multi-step equation?

Remember, an equation is a mathematical sentence that uses an equal sign, = , to show that two expressions are equal. 

We began our study of solving equations with one-step equations , then we moved on to two-step equations . (Check out those links if you need a quick refresher!) 

Now we are moving to multi-step equations . A multi-step equation is an equation that takes two or more steps to solve. These problems can have a mix of addition, subtraction, multiplication, or division. We also might have to combine like terms or use the distributive property to properly solve our equations. 

So get your mathematical toolbox out! You never know what you might see in a multi-step equation!

problem solving multiple step problems practice 11 7 answers

Examples of multi-step equations

Multi-step equations are a wide-ranging category of equations. Some can be very simple, while others become more complex. Never fear! We’re going to show you many examples of multi-step equations and how to solve these important aspects of Algebra 1. 

Here are some examples of multi-step equations: 

How to solve multi-step equations

Remember, an equation is solved when we have isolated the variable and found a value that makes the equation true. In order to solve equations, we use inverse operations to help us isolate the variable.

Order of Operations

Another mathematical concept that will help when solving multi-step equations is the Order of Operations . To use the order of operations, we must first do any operations inside grouping symbols (parentheses, brackets, etc), then exponents, then multiplication or division (whatever comes first, left to right), then finally addition or subtraction (whatever comes first, left to right). You can remember this by the acronym, PEMDAS .

A graphic showing the order of operations using the PEMDAS acronym.

Additionally, we may have to combine like terms on either side of the equation to help solve these equations. Eventually, you will create a one- or two-step equation that you will be able to solve similarly to previous problems! 

Here is an example of a multi-step equation with variables on both sides:

Solve for x in the following equation:

8x - 10 = 4x + 2 Original equation

Since there are variables on both sides, we must eliminate the variable from one side first. I suggest moving the 4x first, as to not create a negative. 

8x - 4x - 10 = 4x - 4x + 2 Subtract 4x from each side
4x - 10 = 2 Simplify

Now we are back to a basic two-step equation.

4x - 10 + 10 = 2 + 10 Add 10 from each side
4x = 12 Simplify
\dfrac{4x}{4} = \dfrac{12}{4} Divide each side by 4
x = 3 Simplify

To check you answer, you can simplify substitute 3 into the variable to see if the equation is true: 

8x - 10 = 4x + 2 Original equation
8(3) - 10 = 4(3) + 2 Substitute
24 - 10 = 12 + 2 Simplify
14 = 14 \checkmark Answer confirmed

Thus, x = 3 is the correct solution. 

Below is a short video from Mike DeVor showing more examples of solving multi-step equations:

problem solving multiple step problems practice 11 7 answers

Now that we have been introduced to Multi-Step Equations, let’s get those brain gears in motion and look at some more challenging examples!

Multi-step equations with fractions

When dealing with an equation with more than one fraction, the easiest way to solve the equation is by finding the Least Common Denominator . The least common denominator is the smallest number that can be a common denominator for a set of fractions. 

Once we find the least common denominator, we will multiply each term by this value to eliminate the fraction. Here is an example of a multi-step equation with fractions: 

Solve for y in the following equation:

The denominators above are 2, 4, 6 , therefore the least common denominator for these numbers is 12 . So we will multiply each term by 12 .

12 \cdot \dfrac{5y}{6} - 12 \cdot \dfrac{1}{4} = 12 \cdot \dfrac{3y}{4} + 12 \cdot \dfrac{1}{2} Multiply each term by 12
\dfrac{60y}{6} - \dfrac{12}{4} = \dfrac{36y}{4} + \dfrac{12}{2} Result of multiplication
10y - 3 = 9y + 6 Simplify
10y - 9y - 3 = 9y - 9y + 6 Subtract 9y from each side
y - 3 = 6 Simplify
y - 3 + 3 = 6 + 3 Add 3 to each side
y = 9 Simplify

To check your answer, you can substitute 9 into the variable to see if the equation is true:

\dfrac{5y}{6} - \dfrac{1}{4} = \dfrac{3y}{4} + \dfrac{1}{2} Original equation
10y - 3 = 9y + 6 Simplified equation (all terms multiplied by 12 )
10 \cdot 9 - 3 = 9 \cdot 9 + 6 Substitute
90 - 3 = 81 + 6 Simplify
87 = 87 \checkmark Answer confirmed

Therefore, y = 9 is the correct solution. 

Multi-step equations with distributive property

Solve for z in the following equation:

2(3z - 4) = 10 Original equation
2(3z) - 2(4) = 10 Distributive Property
6z - 8 = 10 Simplify
6z - 8 + 8 = 10 + 8 Add 8 to each side
6z = 18 Simplify
\dfrac{6z}{6} = \dfrac{18}{6} Divide each side by 6
z = 3 Simplify

To check you answer, you can substitute 3 into the variable to see if the equation is true:

2(3z - 4) = 10 Original equation
2(3 \cdot 3 - 4) = 10 Substitute
2(9 - 4) = 10 Simplify
2(5) = 10 Simplify
10 = 10 \checkmark

Thus, z = 3 is the correct solution.

Solve for m in the following equation:

3(m + 3) - 4 = 2(m - 2) Original equation
3(m) + 3(3) - 4 = 2(m) - 2(2) Distributive Property
3m + 9 - 4 = 2m - 4 Simplify
3m + 5 = 2m - 4 Combine like terms
3m - 2m + 5 = 2m - 2m - 4 Subtract 2m from each side
m + 5 = - 4 Simplify
m + 5 - 5 = - 4 - 5 Subtract 5 from each side
m = -9 Simplify

To check you answer, you can simplify substitute -9 into the variable to see if the equation is true:

3(m + 3) - 4 = 2(m - 2) Original equation
3(-9 + 3) - 4 = 2(-9 - 2) Substitute
3(-6) - 4 = 2(-11) Simplify
-18 - 4 = -22 Combine like terms
-22 = -22 \checkmark Answer confirmed

Thus, m = -9 is the correct solution.

Multi-step equation word problems

Rob owns a coffee shop and is looking at finding a new coffee distributor for his beans. Distributor A sells their beans for \$5 a pound, plus a flat \$10 shipping fee. Distributor B sells their beans for \$2 a pound, plus \$1 per pound for shipping, plus a \$40 processing fee. What amount of pounds, p , would be a breakeven point for the two companies? 

First, let’s create an equation for the situation: 

5p + 10 = 2p + 1p + 40 Original equation
5p + 10 = 3p + 40 Combine like terms
5p -3p + 10 = 3p - 3p + 40 Subtract 3p from each side
2p + 10 = 40 Simplify
2p + 10 - 10 = 40 - 10 Subtract 10 from each side
2p = 30 Simplify
\dfrac{2p}{2} = \dfrac{30}{2} Divide each side by 2
p = 15 Simplify

To check you answer, you can simplify substitute 15 into the variable to see if the equation is true:

5p + 10 = 2p + 1p + 40 Original equation
5(15) + 10 = 2(15) + 1(15) + 40 Substitute
75 + 10 = 30 + 15 + 40 Simplify
85 = 85 \checkmark Answer confirmed

Therefore, the breakeven point for Distributor A and Distributor B would be 15  pounds.

Sam goes to a bookstore with a coupon for \$5 off a book. The coupon is allowed to be used as many times as Sam wants. He ends up buying three books that all cost the same amount of money. The total cost for the books was \$45 . How much did each book cost, c , before the coupon was applied? 

First, let’s set up an equation that models the situation:

Since each book costs the same amount, we denote this amount by the variable, c . Then we applied the \$5 coupon to each book, and finally, we will multiply the cost of each book after the coupon by 3 . 

Now, simply solve for c like any other multi-step equation: 

3(c) - 3(5) = 45 Distribute the 3
3c - 15 = 45 Simplify
3c - 15 + 15 = 45 + 15 Add 15 to both sides
3c = 60 Simplify
\dfrac{3c}{3} = \dfrac{60}{3} Divide both sides by 3
c = 20 Solved

Therefore, each book cost \$20 before the coupon was applied.

Keys to Remember: Solving Multi-Step Equations

  • A multi-step equation is an equation that requires two or more steps to solve.
  • When solving: remember whatever you do to one side, you must do to the other.
  • To solve multi-step equations with fractions, you can multiply each term by the least common denominator to eliminate the fractions first.
  • To check the solution, simply substitute the value into the variable to see if the equation is true.
  • You can model real-life situations with an equation and solve for a correct solution.

Read these other helpful posts:

  • Solving One-Step Equations
  • Solving Two-Step Equations
  • Forms of Linear Equations
  • View ALL Algebra 1 Review Guides

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Easy Multi-Step Word Problems

Welcome to The Easy Multi-Step Word Problems Math Worksheet from the Word Problems Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2017-04-26 and has been viewed 15 times this week and 4,233 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

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Use the buttons below to print, open, or download the PDF version of the Easy Multi-Step Word Problems math worksheet . The size of the PDF file is 55615 bytes . Preview images of the first and second (if there is one) pages are shown. If there are more versions of this worksheet, the other versions will be available below the preview images. For more like this, use the search bar to look for some or all of these keywords: math, word, problems, multi-step, addition, subtraction, multiplication, division .

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Two Step Problems Worksheets

How to Solve Two-step Operation Problems - Not all mathematical problems have a single operation with them. At an early age, children are given simpler problems with only one mathematical operation to perform. These simple problems are necessary for developing the foundation for solving complex problems. Once children have a firm grip on solving a single-operation problem, they progress to solving multiple operations. The very next step to the single-operation problem is the two-step operation problem. These problems involve two operations and are solved following the rules of PEMDAS. According to this rule, we first solve for the parentheses followed by exponents. Next, we solve for multiplication and division in left to right order. Lastly, we solve for the addition and subtraction in left to right order. Example Problems: James had 12 chocolates; he then gives one to his friend John. One of his friends gave three of his chocolates to James. How many chocolates James have in total? The number of chocolates James has is equal to 12. He gives one to John. 12 -1 = 11, James receives three more chocolates from another friend. 11 + 3 = 14. The total number of chocolates James has is equal to 14.

Basic Lesson

Demonstrates the rule set to follow when performing arithmetic operations. Practice problems are provided. A set of rules for arithmetic operations are devised to perform calculations involving more than one arithmetic operation. Rule 1: First perform any calculations inside parentheses. Rule 2: Next perform all multiplications and divisions, working from left to right. Rule 3: Lastly, perform all additions and subtractions, working from left to right.

Intermediate Lesson

Explains how to attack the variables in a two-step order of operations problem. Practice problems are provided.

Independent Practice 1

Contains 20 two-step problems. The answers can be found below.

Independent Practice 2

Features another 20 two-step problems.

Homework Worksheet

12 two-step problems for students to work on at home. Example problems are provided and explained.

10 two-step problems. A math scoring matrix is included.

Homework and Quiz Answer Key

Answers for the homework and quiz.

Answers for the lesson and practice sheets.

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Start with the number of your birth month. Multiply by 4. Add 13. Multiply by 100. Divide by 4. Subtract 200. Add the day of the month you were born. Multiply by 2. Subtract 40. Multiply by 50. Add to it the last 2 digits of the year you were born. Subtract 10,500.

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Free Printable Multi-Step Word Problems worksheets

Multi-Step Word Problems: Discover a vast collection of free printable math worksheets, crafted by expert educators to help students develop problem-solving skills and master complex mathematical concepts. Ideal for teachers and learners alike!

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Multi-Step Word Problems worksheets are an essential tool for teachers looking to challenge their students in the realm of Math. These worksheets provide a variety of Math Word Problems that require students to use critical thinking and problem-solving skills to find the solution. By incorporating multiple steps, these worksheets help students develop a deeper understanding of mathematical concepts and improve their ability to apply these concepts in real-world situations. Teachers can use these worksheets to create engaging and interactive lessons, allowing students to work individually or in groups to solve the problems. With a wide range of topics and difficulty levels, Multi-Step Word Problems worksheets cater to the diverse needs of students and can be easily adapted to suit different grade levels.

Quizizz is an excellent platform for teachers to access a vast library of worksheets, including Multi-Step Word Problems worksheets, and other valuable resources for teaching Math. With Quizizz, teachers can create customized quizzes and interactive lessons that incorporate Math Word Problems, allowing students to practice and improve their problem-solving skills. The platform also offers various features such as real-time feedback, progress tracking, and gamification elements, making learning Math more engaging and enjoyable for students. Teachers can easily integrate Quizizz into their lesson plans, ensuring that students receive a comprehensive and well-rounded education in Math. By utilizing Quizizz and its extensive collection of worksheets, teachers can effectively teach Math Word Problems and help their students excel in this crucial subject.

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7th Grade Solving Multi-Step Problems - Worksheet & Printable Students/Parents Schools Libraries -->

Assignment_return worksheet: solving multi-step problems standard(s): 7.ee.b.3.

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Choose another grade, jennifer has $1.25 in nickels. how many nickels does she have, before $.noconflict(true), standard: 7.ee.b.3, domain: expressions & equations, theme: solve real-life and mathematical problems using numerical and algebraic expressions and equations, description: solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. apply properties of operations as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. for example: if a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. if you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation., kate is one year and six months younger than her sister. if her sister is 14 years and 2 months old, how old is kate, 12 years, 0 months, 13 years, 2 months, 12 years, 8 months, 14 years, 0 months, bob, the plumber, charges 1 4 the cost of materials as his labor fee. if his current job has a material cost of $130, how much will bob charge his client (including his labor fee), none of the above, when lana awoke this morning, she turned on the tv and learned that the outdoor temperature was a chilly 0 degrees celsius. if she was talking to a friend on the phone who said, "oh, it is much colder than that here it is 0 degrees fahrenheit here", explain how that can be true., there is no relationship between celsius and fahrenheit temperatures., 0 degrees celsius is colder than 0 degrees fahrenheit., 0 degrees celsius is equal to 32 degrees fahrenheit., 0 degrees fahrenheit is warmer than 0 degrees celsius., ron and landon are digging for the footer for a building. ron can do the job alone in 20 hours. landon can do the job alone in 30 hours. how long will it take both of them working together to do the job, videos related to solving multi-step problems.

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x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi
\left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
▭\:\longdivision{▭} \times \twostack{▭}{▭} + \twostack{▭}{▭} - \twostack{▭}{▭} \left( \right) \times \square\frac{\square}{\square}
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x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div x^{\circ} \pi
\left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
- \twostack{▭}{▭} \lt 7 8 9 \div AC
+ \twostack{▭}{▭} \gt 4 5 6 \times \square\frac{\square}{\square}
\times \twostack{▭}{▭} \left( 1 2 3 - x
▭\:\longdivision{▭} \right) . 0 = + y

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  • How to solve math problems step-by-step?
  • To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem.
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Printable Multi-Step Word Problems Worksheets

Are you looking to challenge your child's math skills? Our multi-step word problems worksheets enhance critical thinking, logical reasoning, and reading comprehension. they cover skills such as addition, subtraction, multi-step multiplication, and division. they help students develop strategies for solving co ... Read more mplex problems and improve mathematical operations. practicing these worksheets will boost your child's confidence in tackling challenging math problems. start now for free!

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  • Vocabulary (605)
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Add Using Part-Part-Whole Model Worksheet

Add Using Part-Part-Whole Model Worksheet

Dive into this fun-filled printable worksheet by practicing to add using 'Part-Part-Whole' model.

Solve Two-Step Word Problems on Same Operation Worksheet

Solve Two-Step Word Problems on Same Operation Worksheet

Make math practice a joyride by solving two-step word problems on the same operation.

Solve Two-Step Story Problems on Same Operation Worksheet

Solve Two-Step Story Problems on Same Operation Worksheet

Assess your math skills by solving two-step story problems on the same operation.

Solving Mystery Problems on Same Operation Worksheet

Solving Mystery Problems on Same Operation Worksheet

Put your skills to the test by solving mystery problems on the same operation.

Model and Solve Mystery Problems on Same Operation Worksheet

Model and Solve Mystery Problems on Same Operation Worksheet

Use this printable worksheet to model and solve mystery problems on the same operation.

Solve Two-Step Word Problems on Add & Subtract Worksheet

Solve Two-Step Word Problems on Add & Subtract Worksheet

In this worksheet, learners will get to solve two-step word problems on addition & subtraction.

Solve Two-Step Story Problems on Add & Subtract Worksheet

Solve Two-Step Story Problems on Add & Subtract Worksheet

Become a mathematician by solving two-step story problems on addition & subtraction.

Solving Mystery Problems on Add & Subtract Worksheet

Solving Mystery Problems on Add & Subtract Worksheet

Boost your math skills by solving mystery problems on addition & subtraction.

Model and Solve Mystery Problems on Add & Subtract Worksheet

Model and Solve Mystery Problems on Add & Subtract Worksheet

Focus on core math skills by modeling and solving problems on addition & subtraction.

Comparison Word Problems Using Bar Model Worksheet

Comparison Word Problems Using Bar Model Worksheet

Assess your math skills by comparing word problems using bar model in this worksheet.

Add and Subtract within 10: Summer Word Problems - Worksheet

Add and Subtract within 10: Summer Word Problems Worksheet

Summer-themed worksheet focusing on solving word problems involving addition and subtraction within 10.

Add and Subtract within 20: Summer Word Problems - Worksheet

Add and Subtract within 20: Summer Word Problems Worksheet

Engage with this summer-themed worksheet to practice addition and subtraction within 20 through word problems.

Add and Subtract within 10: Halloween Word Problems - Worksheet

Add and Subtract within 10: Halloween Word Problems Worksheet

Spooky worksheet to practice adding and subtracting within 10 using Halloween-themed word problems.

Add and Subtract within 20: Halloween Word Problems - Worksheet

Add and Subtract within 20: Halloween Word Problems Worksheet

Engaging Halloween-themed worksheet to hone students' skills in adding and subtracting within 20.

Add and Subtract within 10: Christmas Word Problems - Worksheet

Add and Subtract within 10: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet on adding and subtracting within 10, featuring word problems.

Add and Subtract within 20: Christmas Word Problems - Worksheet

Add and Subtract within 20: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet focused on enhancing addition and subtraction skills within 20.

Add and Subtract within 10: Shopping Word Problems - Worksheet

Add and Subtract within 10: Shopping Word Problems Worksheet

Engaging worksheet to practice addition and subtraction within 10 using fun shopping scenarios.

Add and Subtract within 20: Shopping Word Problems - Worksheet

Add and Subtract within 20: Shopping Word Problems Worksheet

This worksheet helps students practice addition and subtraction within 20 using a fun shopping theme.

Add and Subtract within 10: Travel Word Problems - Worksheet

Add and Subtract within 10: Travel Word Problems Worksheet

Engaging travel-themed worksheet to enhance students' skills in adding and subtracting within 10.

Add and Subtract within 20: Travel Word Problems - Worksheet

Add and Subtract within 20: Travel Word Problems Worksheet

Travel-themed worksheet for mastering addition and subtraction within 20 through word problems.

Add and Subtract within 10: Cooking Word Problems - Worksheet

Add and Subtract within 10: Cooking Word Problems Worksheet

Whip up math skills with this cooking-themed worksheet on adding and subtracting within 10!

Add and Subtract within 20: Cooking Word Problems - Worksheet

Add and Subtract within 20: Cooking Word Problems Worksheet

Engage in this cooking-themed worksheet that hones your skills in adding and subtracting within 20!

Add and Subtract within 10: Winter Word Problems - Worksheet

Add and Subtract within 10: Winter Word Problems Worksheet

Winter-themed worksheet for students to solve word problems using addition and subtraction within 10.

Add and Subtract within 20: Winter Word Problems - Worksheet

Add and Subtract within 20: Winter Word Problems Worksheet

Engaging winter-themed worksheet to sharpen skills in adding and subtracting within 20!

Add and Subtract within 10: Easter Word Problems - Worksheet

Add and Subtract within 10: Easter Word Problems Worksheet

Easter-themed worksheet for students to practice adding and subtracting numbers within 10.

Add and Subtract within 20: Easter Word Problems - Worksheet

Add and Subtract within 20: Easter Word Problems Worksheet

Easter-themed worksheet for students to solve addition and subtraction problems within 20.

Add and Subtract within 10: Thanksgiving Word Problems - Worksheet

Add and Subtract within 10: Thanksgiving Word Problems Worksheet

Thanksgiving-themed worksheet for students to practice adding and subtracting within 10.

Add and Subtract within 20: Thanksgiving Word Problems - Worksheet

Add and Subtract within 20: Thanksgiving Word Problems Worksheet

Engaging Thanksgiving-themed worksheet to practice addition and subtraction within 20.

Model and Solve Comparison Problems Worksheet

Model and Solve Comparison Problems Worksheet

Learn subtraction at the speed of lightning by practicing to model and solve comparison problems.

Add and Subtract within 100: Summer Word Problems - Worksheet

Add and Subtract within 100: Summer Word Problems Worksheet

Summer-themed worksheet for students to practice adding and subtracting within 100 through word problems.

Add and Subtract within 100: Halloween Word Problems - Worksheet

Add and Subtract within 100: Halloween Word Problems Worksheet

Halloween-themed worksheet for students to practice adding and subtracting within 100 through word problems.

Add and Subtract within 100: Christmas Word Problems - Worksheet

Add and Subtract within 100: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet to practice adding and subtracting numbers within 100.

Add and Subtract within 100: Shopping Word Problems - Worksheet

Add and Subtract within 100: Shopping Word Problems Worksheet

Engaging worksheet for students to practice addition and subtraction within 100 using shopping-themed problems.

Add and Subtract within 100: Travel Word Problems - Worksheet

Add and Subtract within 100: Travel Word Problems Worksheet

Boost your math skills by solving these travel-themed addition and subtraction word problems within 100 worksheet!

Add and Subtract within 100: Cooking Word Problems - Worksheet

Add and Subtract within 100: Cooking Word Problems Worksheet

Cook up some fun with this worksheet, solving addition and subtraction problems within 100!

Add and Subtract within 100: Winter Word Problems - Worksheet

Add and Subtract within 100: Winter Word Problems Worksheet

This worksheet provides winter-themed word problems for students to practice addition and subtraction within 100.

Add and Subtract within 100: Easter Word Problems - Worksheet

Add and Subtract within 100: Easter Word Problems Worksheet

Easter-themed worksheet asking students to solve addition and subtraction problems within 100.

Add and Subtract within 100: Thanksgiving Word Problems - Worksheet

Add and Subtract within 100: Thanksgiving Word Problems Worksheet

A fun, Thanksgiving-themed worksheet focused on solving addition and subtraction word problems within 100.

Multi-Step Problems Worksheet

Multi-Step Problems Worksheet

Assess your math skills by solving multi-step problems in this worksheet.

Multi-Step Scenarios Worksheet

Multi-Step Scenarios Worksheet

Solidify your math skills by practicing multi-step scenarios.

Multi-Step Division Word Problems Worksheet

Multi-Step Division Word Problems Worksheet

Dive into this fun-filled printable worksheet by practicing multi-step division word problems.

Compare the Scenarios Worksheet

Compare the Scenarios Worksheet

Pack your math practice time with fun by comparing the scenarios.

Word Problems on Comparing Scenarios Worksheet

Word Problems on Comparing Scenarios Worksheet

Put your skills to the test by practicing word problems on comparing scenarios.

Compare the Word Problems Worksheet

Compare the Word Problems Worksheet

Pack your math practice time with fun by comparing word problems.

Multi-Step Word Problems on Multiplication Worksheet

Multi-Step Word Problems on Multiplication Worksheet

Learners must solve multi-step word problems on multiplication to enhance their math skills.

Multiplication Multi-Step Word Problems Worksheet

Multiplication Multi-Step Word Problems Worksheet

Be on your way to become a mathematician by practicing multiplication multi-step word problems.

Sequence the Steps of Division Word Problems Worksheet

Sequence the Steps of Division Word Problems Worksheet

Kids must sequence the steps of division word problems in this playful worksheet.

Sequence the Steps of Multi-Step Word Problems Worksheet

Sequence the Steps of Multi-Step Word Problems Worksheet

Make math practice a joyride by solving to sequence the steps of multi-step word problems.

Your one stop solution for all grade learning needs.

IMAGES

  1. Multi Step Problem Solving Lesson Plans & Worksheets

    problem solving multiple step problems practice 11 7 answers

  2. Solving Multi-Step Equations

    problem solving multiple step problems practice 11 7 answers

  3. Easy Multi-Step Word Problems Word Problems Worksheet

    problem solving multiple step problems practice 11 7 answers

  4. Problem solving multiple step problems 11-7 answers

    problem solving multiple step problems practice 11 7 answers

  5. problem solving multiple step problems

    problem solving multiple step problems practice 11 7 answers

  6. 7-5 Problem Solving: Multi-Step Problems

    problem solving multiple step problems practice 11 7 answers

COMMENTS

  1. Multi-Step Equations Practice Problems with Answers

    Multi-Step Equations Practice Problems with Answers. For this exercise, I have prepared seven (7) multi-step equations for you to practice. If you feel the need to review the techniques involved in solving multi-step equations, take a short detour to review my other lesson about it. Click the link below to take you there!

  2. Two-Step Equations Practice Problems with Answers

    Two-Step Equations Exercises. Hone your skills in solving two-step equations because it will serve as your foundation when solving multi-step equations. I prepared eight (8) two-step equations problems with complete solutions to get you rolling. My advice is for you to solve them by hand using a pencil or pen and paper.

  3. Free Math Worksheets

    Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...

  4. PDF Multi-Step Equations Date Period

    11) 18 = 3(3x − 6) 12) 30 = −5(6n + 6) -1- ©8 x2q0 L1Q21 TKeuXthaB 1SNoHfIt Ww5a 3r Sel dL DLGCp.z O QAvljl5 0rWimg ghCtTs v QrAesAelr svpe jd t.P n lM0a1dTen owtift7hF DIIn Qfai2nEi It Ke8 RPLrbe q- SA Plfg fe Zbtr FaM.F Worksheet by Kuta Software LLC

  5. Multiple-Step Word Problem Worksheets

    Find the answers to the four word problems. Students will need to use reasoning skills to determine whether they should add, subtract, divide, or multiply. 4th and 5th Grades. View PDF. Multiple Step, Advanced #3. Here are four multiple-step word problems that will require a combination of addition, subtraction, multiplication, or division.

  6. Multi-Step Equation Worksheets

    In these pdf worksheets, solve the multi-step equations and verify your solution by substituting the value of the unknown variable to the equation. Translate the given phrases to algebraic equations. Three exclusive practice sheets are available here for students. Nine geometric shapes are shown in each worksheet.

  7. Multi-step Problems

    trees. 9. Three 3-digit numbers add up to 999. The first number is 439 and the second is 290. Find the third number. Working: 10. The lottery prize was £1000. Ruby decided to share it with family members as follows: Mum:£150, Dad:£190, Gran:£110, Billy:£140 and Bobby:£140.

  8. Solving Multi-Step Equations

    That. 1) Combine the variables on the left side of the equation. That is, . Also, simplify the constants on the right side which gives us. to both sides of the equation. It will keep the variable on the left side and eliminate the variable on the right. 4) The last step is to divide the one-step equation by.

  9. Solving multi-step equations (solutions, examples, videos)

    To solve a multi-step equation, we would start by trying to simplify the equation by combining like terms and using the distributive property whenever possible. Consider the equation 2 (x + 1) - x = 5. First, we will use the distributive property to remove the parenthesis and then we can combine like terms and then isolate the variable.

  10. IXL

    Follow us. Improve your math knowledge with free questions in "Solve multi-step equations" and thousands of other math skills.

  11. Solving Multi-Step Equations

    In Summary. Solving equations involves finding the value of a variable by manipulating and rearranging algebraic equations with multiple steps. These equations typically have multiple terms on one or both sides of the equal sign and may involve the use of the distributive property and combining like terms. Learning about solving equations is ...

  12. Step-by-Step Math Problem Solver

    QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...

  13. Solving Multi-Step Equations: Review and Examples

    Keys to Remember: Solving Multi-Step Equations. A multi-step equation is an equation that requires two or more steps to solve. When solving: remember whatever you do to one side, you must do to the other. To solve multi-step equations with fractions, you can multiply each term by the least common denominator to eliminate the fractions first.

  14. Easy Multi-Step Word Problems

    Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Easy Multi-Step Word Problems math worksheet. The size of the PDF file is 55615 bytes. Preview images of the first and second (if there is one) pages are shown.

  15. Khan Academy

    Khanmigo is now free for all US educators! Plan lessons, develop exit tickets, and so much more with our AI teaching assistant. Get it now!

  16. Two Step Problems Worksheets

    The very next step to the single-operation problem is the two-step operation problem. These problems involve two operations and are solved following the rules of PEMDAS. According to this rule, we first solve for the parentheses followed by exponents. Next, we solve for multiplication and division in left to right order. Lastly, we solve for ...

  17. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations.

  18. Microsoft Math Solver

    Get math help in your language. Works in Spanish, Hindi, German, and more. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

  19. Free Printable Multi-Step Word Problems worksheets

    Multi-Step Word Problems worksheets are an essential tool for teachers looking to challenge their students in the realm of Math. These worksheets provide a variety of Math Word Problems that require students to use critical thinking and problem-solving skills to find the solution. By incorporating multiple steps, these worksheets help students ...

  20. 7.EE.B.3

    Theme: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Description: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.

  21. Khan Academy

    Khan Academy

  22. Step-by-Step Calculator

    Symbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics. It shows you the steps and explanations for each problem, so you can learn as you go. To solve math problems step-by-step start by reading the problem carefully and understand what you are being ...

  23. Printable Multi-Step Word Problems Worksheets

    Dive into this fun-filled printable worksheet by practicing to add using 'Part-Part-Whole' model. 1 2. VIEW DETAILS. Multi-Step Word Problems. Solve Two-Step Word Problems on Same Operation Worksheet. Make math practice a joyride by solving two-step word problems on the same operation. 2 3.