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Algebra Review and Problem-Solving

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Algebra Review and Problem-Solving

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📚 Part 1: Multiple Choice — Warm-up & Review

WALT: Consolidate algebra foundations: variables, substitution and simplifying expressions.

Success criteria: I can identify variables, substitute values and simplify expressions using brackets.

1. Which of the following is a variable?

5

x

+

2.5

2. If S = 3a − 2 and a = 4, what is S?

10

8

6

4

3. Simplify: 2(x + 3) − x

x + 6

3x + 6

x + 3

x − 6

4. Which expression is equivalent to 4x + 2?

2(2x + 1)

2(2x − 1)

(4x)(2)

4(x + 2)

✏️ Part 2: Short Answers — Apply & Explain

5. Practical substitution: A café charges $2 per sausage roll plus a $3 flat fee. Write the cost C for n sausage rolls and calculate C when n = 4.
6. Formulate an expression: Sam starts with $10 and earns $y each week. Write an expression for Sam's total money after w weeks.
7. Table and prediction: The rule is y = −3x + 12. Complete the values for x = 1, 2, 3 and then find x when y = 0. Show working.
8. Geometry to algebra: The width of a rectangular garden is 3 m and the length is L metres. Write an expression for the perimeter P in terms of L.

🚀 Extension & Reflection

9. Extension (advanced): From the table below, determine the function rule (linear) and state y when x = 5.
x: 1, 2, 3
y: 3, 5, 7
10. Reflection: Briefly describe one strategy you used for solving questions today and one area you would like help with. (2–3 sentences)

Differentiation & teacher notes: Offer one-on-one support or simplified wording for students who need it. Provide dyslexia-friendly printing (Arial/OpenDyslexic, increased spacing, colour-coding for variables). Extension tasks: present work to peers or solve the extension problem on the board.

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