Algebra Review Worksheet

Name:

Date:

📚 Part 1: Quick Review (Multiple Choice)

WALT: We are learning to review key algebraic concepts including variables, substitution and simple linear rules.

Success criteria: I can identify variables, substitute values correctly and choose the correct simplified expression.

1. Which of the following is an algebraic expression?

5 + 3 = 8

2x + 7

x = 4

12 ÷ 3

2. If x = 4, what is 3x - 5?

3. Simplify the expression: 2(3a + 4) − a

5a + 8

6a + 3 − a

5a + 4

6a + 8 − a

4. Which integer operation is correct?

(−3) + 5 = −8

4 − (−2) = 2

(−6) − 3 = −9

(−2) + (−4) = 2

✏️ Part 2: Short Answers & Problem Solving

Differentiation: Ask for help if needed. Use a coloured overlay or read aloud if that helps. Extension challenge at the end for advanced learners.

5. Write an algebraic expression for: "The sum of twice a number n and 7".

6. Simplify fully: 4(2x − 3) + 5x

7. Substitute t = −2 into the formula: A = 3t^2 − t + 4. Show your working.

8. Generate a table of values for the rule y = 2x − 1 for x = −1, 0, 1, 2. List the ordered pairs.

9. Extension challenge: One of these worked answers contains a mistake. Circle the incorrect step and explain in a sentence why it is wrong.

Worked solution: Simplify 5 − (2 − 7). Step 1: 5 − 2 − 7 = 3 − 7. Step 2: 3 − 7 = −4.

10. Group task (optional, for homework or class): Create one short quiz question that uses substitution and one that asks for plotting a point from a rule. Write both questions below.