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Solving Single-Step Equations

This worksheet focuses on solving single-step linear equations using addition, subtraction, multiplication, and division for 6th-grade math students.

Grade 6 Math AlgebraOne-variable EquationsSolving EquationsSolving Single-step Equations
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

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

Topics

mathalgebraequationssingle-stepgrade 6
7 sections · Free to use · Printable
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Solving Single-Step Equations

Name:

Date:

Score:

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

1. To solve the equation x + 5 = 12, you would   5 from both sides.

2. The inverse operation of multiplication is  .

3. An equation shows that two expressions are  .

4. What operation should you use to solve for 'y' in the equation y - 7 = 15?

a

Addition

b

Subtraction

c

Multiplication

d

Division

5. Which of the following equations has a solution of x = 8?

a

x + 2 = 9

b

4x = 24

c

x - 3 = 5

d

x / 2 = 3

6. Solve for a: a + 12 = 20

7. Solve for b: 18 - b = 5

8. Solve for c: 7c = 49

9. Solve for d: d / 4 = 11

10. The solution to x + 3 = 10 is x = 7.

T

True

F

False

11. If 6y = 30, then y = 6.

T

True

F

False

12. Sarah has 15 apples. She gives some to her friend and now has 9 apples left. Write and solve an equation to find out how many apples she gave away.

13. A recipe calls for 3 cups of flour. If you want to make 4 batches of the recipe, how many cups of flour do you need in total? Write and solve an equation.