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multi step equation worksheet

An equation that needs more than two steps to solve for the variable is known as a multi-step equation. Generally, we use the same operation on both sides of the equation. These equations are somewhat complicated as well, as they involve many steps to get the solution. More often than not, the word "problem" leads to multi-step equations.

Grade 7
Expressions, Equations, And Inequalities
7.EE.B.3
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Teaching Multi-Step Equations Easily 

 

Things to keep in mind while solving multi-step equation practice worksheet:

  • Firstly, in a parenthesis, apply the distributive property in the given equation. 
  • Secondly, combine all the like terms. 
  • Now, collect all the like terms on one side of the equation. 
  • Lastly, isolate the variable using inverse operations. 

Here is an example of how to solve the multi-step equation problem.

Assume Sam is six years younger than Tomy. After 10 years, the sum of their ages is 36. Then how old is Tomy now?

Step 1: Let Tomy’s age be x years old. Then Sam’s age = x - 6 years. After 10 years, the sum of their ages is 36. i.e.,

(x + 10) + (x - 6 + 10) = 36

Step 2: Combine similar terms.

2x + 14 = 36

On removing 14 from both sides,

The result is that 2x = 12

Dividing both sides by 2,

Thus, Sam's age now is 6 years old. 

Why Should You Use Multi-Step Equation Worksheets for Your Students? 

 

  • These worksheets provide opportunities for your students to solve multi-step word problems using variables, coefficients, and constants. 
  • Solving these worksheets will help students strengthen basics like multiplication, division, addition, subtraction, division, BODMAS, etc.

Download Multi-Step Equation Worksheet PDFs.

 

You can download and print these super fun multi-step equation worksheets in pdf here for your students.

Teaching Multi-Step Equations Easily 

 

Things to keep in mind while solving multi-step equation practice worksheet:

  • Firstly, in a parenthesis, apply the distributive property in the given equation. 
  • Secondly, combine all the like terms. 
  • Now, collect all the like terms on one side of the equation. 
  • Lastly, isolate the variable using inverse operations. 

Here is an example of how to solve the multi-step equation problem.

Assume Sam is six years younger than Tomy. After 10 years, the sum of their ages is 36. Then how old is Tomy now?

Step 1: Let Tomy’s age be x years old. Then Sam’s age = x - 6 years. After 10 years, the sum of their ages is 36. i.e.,

(x + 10) + (x - 6 + 10) = 36

Step 2: Combine similar terms.

2x + 14 = 36

On removing 14 from both sides,

The result is that 2x = 12

Dividing both sides by 2,

Thus, Sam's age now is 6 years old. 

Why Should You Use Multi-Step Equation Worksheets for Your Students? 

 

  • These worksheets provide opportunities for your students to solve multi-step word problems using variables, coefficients, and constants. 
  • Solving these worksheets will help students strengthen basics like multiplication, division, addition, subtraction, division, BODMAS, etc.

Download Multi-Step Equation Worksheet PDFs.

 

You can download and print these super fun multi-step equation worksheets in pdf here for your students.

Teaching Multi-Step Equations Easily 

 

Things to keep in mind while solving multi-step equation practice worksheet:

  • Firstly, in a parenthesis, apply the distributive property in the given equation. 
  • Secondly, combine all the like terms. 
  • Now, collect all the like terms on one side of the equation. 
  • Lastly, isolate the variable using inverse operations. 

Here is an example of how to solve the multi-step equation problem.

Assume Sam is six years younger than Tomy. After 10 years, the sum of their ages is 36. Then how old is Tomy now?

Step 1: Let Tomy’s age be x years old. Then Sam’s age = x - 6 years. After 10 years, the sum of their ages is 36. i.e.,

(x + 10) + (x - 6 + 10) = 36

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