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Substituting into Algebraic Expressions

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Substituting into Algebraic Expressions worksheet preview

Substituting into Algebraic Expressions

Mathematical expressions and numbers

🎯 WALT: We Are Learning To substitute values into algebraic expressions

Success Criteria:

✓ I can replace variables with given numbers
✓ I can follow the order of operations (BIDMAS)
✓ I can calculate the final answer correctly

📚 Part 1: Getting Started

1. When x = 4, what is the value of 2x + 5?

13

11

9

14

2. If a = 3, what is 4a - 7?

5

12

19

1

3. When y = 2, find the value of 3y²
4. Substitute m = 5 into the expression 2m + 8

🔥 Part 2: Challenge Yourself

5. When p = 6 and q = 2, find 3p - 4q

Step 1: Replace the variables: 3(___) - 4(___)

Step 2: Calculate: _______ - _______ = _______

6. Substitute x = 4 into 2(x + 3)
7. If t = 7, what is the value of t² - 2t + 1?
8. Real-life Problem: The formula for the perimeter of a rectangle is P = 2l + 2w, where l is length and w is width. Find the perimeter when l = 8 metres and w = 5 metres.

🌟 Part 3: Extension & Reflection

9. Challenge: When a = -2, find 3a² + 4a - 1
10. Explain in your own words: What does it mean to "substitute" a value into an expression?
11. Create your own expression with one variable, then substitute a value and solve it:

My expression: _________________________

When my variable = _____, the answer is _____

🎯 Differentiation Support:

Need help? Start with questions 1-4. Ready for more? Try the extension in Part 3!

Dyslexia-friendly tip: Use your finger to track each step and say the numbers out loud as you substitute.

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