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Year 7 Algebra Practice Test

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Year 7 Algebra Practice Test worksheet preview

Year 7 Algebra Practice Test

Algebra symbols and equations

📚 Part A: Multiple Choice Questions (8 marks)

Circle the correct answer for each question. Show working where possible.

1. Which of the following statements is not true?

A) 3x + 5 is an expression

B) 7y is a term

C) 2m = 14 is an equation

D) C = 2πr is an expression

2. The coefficient of the x term in the expression 4x² - 9x + 12 is:

A) 4

B) -9

C) 12

D) 2

3. The formula that describes the relationship in this table is:

x: 1, 2, 3, 4, 5
y: 4, 7, 10, 13, 16

A) y = 3x + 1

B) y = x + 3

C) y = 4x

D) y = 2x + 2

4. What formula is represented by this function machine?
Input → ×5 → +8 → Output

A) y = 5x + 8

B) y = 8x + 5

C) y = 5(x + 8)

D) y = x + 13

✏️ Part B: Short Answer Questions (16 marks)

Show all working clearly.

5. Use the rule y = 2x - 3 to complete this table of values. (2 marks)

x: 2, 4, 7, 9, 12
y: _____, _____, _____, _____, _____

6. Find the formula that describes the relationship between these variables. (2 marks)

p: 3, 5, 8, 10, 15
q: 11, 19, 29, 39, 59

7. For the expression 5m² + 3n - 8, identify: (4 marks)

a) Number of terms: _____

b) Pronumerals: _____

c) Constant term: _____

d) Coefficient of m²: _____

8. Write expressions for: (4 marks)

a) 9 more than twice a number k: _____

b) The product of 6 and y, decreased by 15: _____

c) Half of x, plus 7: _____

d) 20 divided by the sum of a and 4: _____

9. For the expression 8a - 4b + 12c - 7, list the coefficient of each term. (4 marks)

🔍 Part C: Problem Solving (6 marks)

10. A mobile phone plan costs $35 per month plus $8 for each gigabyte of data used.

a) Write a formula for the total monthly cost (C) in terms of gigabytes used (g). (1 mark)

b) Complete this table of values: (2 marks)

Data (GB): 0, 2, 5, 8, 12
Cost ($): _____, _____, _____, _____, _____

c) Sarah's monthly bill was $91. How many gigabytes of data did she use? Show your working. (3 marks)

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