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Two-Step Equations Practice

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Two-Step Equations Practice

🔢 Part 1: Multiplication Two-Step Equations

Solve for x. Show your work in the space provided.

1. 3x - 8 = 22

x = _______

2. 5x - 2 = 18

x = _______

3. 2x + 9 = 25

x = _______

4. 4x - 15 = 13

x = _______

➗ Part 2: Division Two-Step Equations

Solve for x. Show your work in the space provided.

5. x/3 + 8 = 14

x = _______

6. x/4 - 5 = 7

x = _______

7. x/2 + 11 = 19

x = _______

8. x/6 - 3 = 9

x = _______

🎯 Part 3: Mixed Practice

Choose the correct answer for each equation.

9. What is the value of x in 6x - 8 = 34?

x = 4

x = 7

x = 9

x = 12

10. What is the value of x in x/5 + 6 = 12?

x = 20

x = 25

x = 30

x = 35

Two-Step Equations Practice - Answer Key

🔢 Part 1: Multiplication Two-Step Equations - Solutions

1. 3x - 8 = 22

Solution:

3x - 8 = 22

3x - 8 + 8 = 22 + 8

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

2. 5x - 2 = 18

Solution:

5x - 2 = 18

5x - 2 + 2 = 18 + 2

5x = 20

5x ÷ 5 = 20 ÷ 5

x = 4

3. 2x + 9 = 25

Solution:

2x + 9 = 25

2x + 9 - 9 = 25 - 9

2x = 16

2x ÷ 2 = 16 ÷ 2

x = 8

4. 4x - 15 = 13

Solution:

4x - 15 = 13

4x - 15 + 15 = 13 + 15

4x = 28

4x ÷ 4 = 28 ÷ 4

x = 7

➗ Part 2: Division Two-Step Equations - Solutions

5. x/3 + 8 = 14

Solution:

x/3 + 8 = 14

x/3 + 8 - 8 = 14 - 8

x/3 = 6

x/3 × 3 = 6 × 3

x = 18

6. x/4 - 5 = 7

Solution:

x/4 - 5 = 7

x/4 - 5 + 5 = 7 + 5

x/4 = 12

x/4 × 4 = 12 × 4

x = 48

7. x/2 + 11 = 19

Solution:

x/2 + 11 = 19

x/2 + 11 - 11 = 19 - 11

x/2 = 8

x/2 × 2 = 8 × 2

x = 16

8. x/6 - 3 = 9

Solution:

x/6 - 3 = 9

x/6 - 3 + 3 = 9 + 3

x/6 = 12

x/6 × 6 = 12 × 6

x = 72

🎯 Part 3: Mixed Practice - Answers

9. What is the value of x in 6x - 8 = 34?

Answer: x = 7

Work: 6x - 8 = 34 → 6x = 42 → x = 7

10. What is the value of x in x/5 + 6 = 12?

Answer: x = 30

Work: x/5 + 6 = 12 → x/5 = 6 → x = 30

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