🔢 Part 1: Understanding Two-Step Equations

1. Circle the equations that are two-step linear equations:

3x + 7 = 22

x + 5 = 12

2y - 9 = 15

4x = 20

5m + 3 = 28

2. For the equation 4x + 6 = 26, what two operations need to be undone to solve for x?

3. Which operation should you undo FIRST when solving 3y - 8 = 19?

Subtract 3

Add 8

Divide by 3

Multiply by 3

📝 Part 2: Solving Two-Step Equations

4. Solve: 2x + 5 = 17

Answer: x = _______

5. Solve: 3y - 7 = 14

Answer: y = _______

6. Solve: 4m + 9 = 33

Answer: m = _______

7. Solve: 6n - 15 = 21

Answer: n = _______

✓ Part 3: Checking Your Solutions

8. Check if x = 4 is the correct solution for 3x + 2 = 14. Show your substitution work:

Is x = 4 correct? Circle: YES or NO

9. Check if y = 7 is the correct solution for 2y - 5 = 9. Show your substitution work:

Is y = 7 correct? Circle: YES or NO

10. Solve 5x - 8 = 27, then check your answer by substitution:

Solution: x = _______

Check by substitution:

🌟 Part 4: Challenge Problems

11. A plumber charges a $45 call-out fee plus $25 per hour. If the total bill was $145, how many hours did the plumber work? Write and solve an equation.

Equation: _________________________

The plumber worked for _______ hours.

12. Sarah has some money. She spends $12 on lunch and then spends half of what remains on a book. If she has $18 left, how much money did she start with?

Let x = the amount Sarah started with

Equation: _________________________

Sarah started with $_______ .

13. Choose the correct steps to solve 7x + 3 = 38 (tick all correct steps in order):

Subtract 3 from both sides

Add 3 to both sides

Divide both sides by 7

Multiply both sides by 7

Check the answer by substitution