🔢 Part 1: Understanding Two-Step Equations

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

x + 5 = 12

2x + 3 = 11

3y = 15

4a - 7 = 9

x - 8 = 2

2. What does the equals sign represent in an equation?

3. Fill in the blanks about inverse operations:

Addition and _____________ are inverse operations.

Multiplication and _____________ are inverse operations.

⚖️ Part 2: Solving Two-Step Equations

4. Solve: 2x + 5 = 13

Show your working step by step:

Answer: x = _______

5. Solve: 3y - 4 = 14

Show your working step by step:

Answer: y = _______

6. Solve: 4a + 7 = 23

Show your working step by step:

Answer: a = _______

7. Solve: 5b - 8 = 17

Show your working step by step:

Answer: b = _______

✓ Part 3: Checking Solutions

8. Check if x = 3 is the correct solution for 2x + 4 = 10

Substitute x = 3 into the original equation:

Is x = 3 correct? Circle: YES / NO

9. Check if y = 5 is the correct solution for 3y - 2 = 13

Substitute y = 5 into the original equation:

Is y = 5 correct? Circle: YES / NO

10. For the equation 6x + 1 = 25, which value of x is correct?

x = 3

x = 4

x = 5

x = 6

🧠 Part 4: Problem Solving

11. Sarah has some stickers. She gives away 8 stickers and then divides the remaining stickers equally among 3 friends. Each friend gets 5 stickers. How many stickers did Sarah start with?

Write an equation: ________________

Sarah started with _______ stickers.

12. A taxi charges $3.50 for the first kilometre and then $2.20 for each additional kilometre. If the total fare is $14.30, how many kilometres was the journey?

Write an equation: ________________

The journey was _______ kilometres.