Tū Tauā Algebra Attacks

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🥋 Part 1: Substitution Strikes

Substitute the given values into each expression. Show your working clearly.

1. A strike combo has the score 3x + 5. Find the score when x = 4.

2. A block rating is calculated using 2a² + 3. Find the rating when a = 5.

3. A counter-attack score is 4m − 2n. Find the score when m = 6 and n = 3.

4. A training combo uses the rule p(q + 2). Find its value when p = 7 and q = 3.

Factorise each expression completely. Think of the common factor as a block that protects every term.

5. Factorise: 6x + 18

6. Factorise: 8a − 12

7. Factorise: 5y² + 15y

8. Factorise: 9m² − 6m

Use substitution and factorisation skills to complete each algebra attack.

9. A three-move combo has the expression 4x + 12. Factorise the expression, then find its value when x = 5.

10. A counter-attack is scored using 3n² + 6n. Factorise the expression, then find its value when n = 4.

11. Write your own algebraic combo using a variable. Give a value for the variable, then calculate the score of your combo.