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Solving for a Variable - Grade 6 Math

This worksheet helps Grade 6 students practice solving for a variable in addition, subtraction, multiplication, and division equations.

Grade 6 Math AlgebraSolving for a Variable
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksCustomTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.5CCSS.MATH.CONTENT.6.EE.B.6CCSS.MATH.CONTENT.6.EE.B.7

Topics

algebravariablesequationsgrade 6math
8 sections · Free to use · Printable
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Solving for a Variable

Name:

Date:

Score:

Read each question carefully and solve for the unknown variable. Show your work.

1. Solve for x: x + 15 = 40

2. Solve for y: 72 - y = 25

3. Solve for a: 3.5 + a = 9.2

4. Solve for m: 6m = 54

5. Solve for p: p / 7 = 12

6. Solve for k: 2.5k = 10

7. Which operation would you use to solve for 'n' in the equation: n - 18 = 30?

a

Addition

b

Subtraction

c

Multiplication

d

Division

8. What is the value of 'z' if 4z = 64?

a

12

b

16

c

20

d

24

9. To solve for a variable, we use inverse  .

10. In the equation 10 + x = 25, the variable is  .

11. Sarah bought a book for $12 and a pen. She spent a total of $15. Write an equation and solve to find the cost of the pen.

Balance scale

12. A baker made some cookies. He gave 18 cookies to his friends and had 24 cookies left. How many cookies did he make initially? Write an equation and solve.

13. The solution to 5x = 40 is x = 8.

T

True

F

False

14. If y / 3 = 9, then y = 3.

T

True

F

False