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Equation Solving Strategies

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Equation Solving Strategies worksheet preview

Equation Solving Strategies

Mathematical equations and balance scales

📚 Part 1: Solving One-Step and Two-Step Equations

1. Solve these one-step equations. Show your working and check your answer by substitution.

a) x + 9 = 15

b) 4y = 28

2. Solve these two-step equations. Show each step clearly.

a) 3x + 7 = 22

b) 2m - 5 = 13

3. Which equation has the solution x = 6?

2x + 3 = 15

4x - 8 = 20

x + 7 = 12

5x = 25

🛍️ Part 2: Real-Life Problem Solving

4. Sarah is saving money for a new bike. She already has $45 and needs a total of $120. Write and solve an equation to find how much more money she needs.

Equation: ________________

Answer: Sarah needs $_______ more.

5. A movie ticket costs $12. Jake bought some tickets and paid a total of $3 booking fee. His total cost was $51. Write and solve an equation to find how many tickets he bought.

Equation: ________________

Answer: Jake bought _____ tickets.

6. The temperature dropped by 8°C from the morning and is now 15°C. What was the morning temperature?

Equation: ________________

Answer: The morning temperature was _____°C.

🧩 Part 3: Challenge Problems

7. Pattern Challenge: Look at this number pattern and form an equation.

Position: 1, 2, 3, 4, ...

Value: 5, 8, 11, 14, ...

If the pattern continues, what equation could you use to find the value when the position is n?

Use your equation to find the value when n = 10: _______

8. Equation Puzzle: I'm thinking of a number. If I multiply it by 3 and subtract 4, I get 17. What's my number?

Write the equation: ________________

The mystery number is: _______

9. Reflection: Explain in your own words the steps you use to solve a two-step equation like 4x + 7 = 31.

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