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Substitution Practice Worksheet

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Substitution Practice Worksheet

Substitution Practice Worksheet

Algebraic expressions and calculator

🔢 Part 1: Basic Substitution

Instructions: Substitute the given values into each expression and evaluate. Show all working.

1. Evaluate 3x + 7 when x = 4
2. Evaluate 2a - 5 when a = -3
3. Evaluate 5y + 2 when y = -1
4. Evaluate -4x + 9 when x = 2

📐 Part 2: Expressions with Powers

Remember: Follow the order of operations (GEMA - Grouping, Exponents, Multiplication/Division, Addition/Subtraction)

5. Evaluate x² + 3 when x = 5
6. Evaluate 2x² - 4 when x = -3
7. Evaluate a² + 2a + 1 when a = 4
8. Evaluate 3y² - y + 5 when y = -2

🧮 Part 3: Multiple Choice - Common Mistakes

Instructions: Circle the correct answer for each substitution.

9. When x = -2, what is the value of x² + 1?

-3

3

5

-5

10. When a = -4, what is the value of 2a + 6?

-14

-2

2

14

11. When y = 3, what is the value of -y² + 10?

1

19

-19

-1

📏 Part 4: Real-World Formulae

Instructions: Use substitution to solve these practical problems.

12. The area of a rectangle is given by A = lw, where l is length and w is width. Find the area when l = 8 metres and w = 5 metres.

Area = _______ square metres

13. The temperature conversion formula is F = 9C/5 + 32, where C is Celsius and F is Fahrenheit. Find F when C = 20°C.

Temperature = _______ °F

14. The distance formula is d = vt, where v is velocity and t is time. Find the distance when v = 60 km/h and t = 2.5 hours.

Distance = _______ kilometres

🎯 Part 5: Challenge Problems

Instructions: These problems require careful attention to negative numbers and order of operations.

15. Evaluate 2x² - 3x + 1 when x = -1
16. Evaluate (a + 2)² - 5 when a = -4
17. Evaluate 3(y - 1)² + 2y when y = 3

💭 Part 6: Reflection

18. What is the most important thing to remember when substituting negative numbers into expressions?
19. Explain why the order of operations (GEMA) is important when evaluating expressions.

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