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Year 7 Algebra Assessment

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Year 7 Algebra Assessment worksheet preview

Year 7 Algebra Assessment

Algebra symbols and equations

📚 Part 1: Multiple Choice & True/False

1. Which equation can be used to find the missing number? A box contains some marbles. After adding 15 more marbles, there are 32 marbles in total.

x - 15 = 32

x + 15 = 32

15x = 32

x ÷ 15 = 32

2. True or False: The expressions 3x + 5x and 8x are equivalent.

True

False

3. Which property is shown by: 4 × (3 + 7) = (4 × 3) + (4 × 7)?

Commutative property

Associative property

Distributive property

Identity property

4. True or False: 5.67 > 5.7

True

False

✏️ Part 2: Solving & Patterns

5. Solve the equation: n - 8 = 15

Show your working:

Answer: n = _______

6. Look at this pattern: 3, 7, 11, 15, 19, ...

a) The next two terms are: _______ and _______

b) Describe the rule in words: _________________________________

c) Write an algebraic expression for the nth term: _____________

7. Simplify these expressions:

a) 6a + 3a = _____________

b) 5x × 4 = _____________

c) 2y + 7 + 3y - 2 = _____________

8. A movie theatre charges $12 per ticket plus a $3 booking fee. Write an equation to find the total cost (C) for buying t tickets.

🧮 Part 3: Problem Solving

9. Order these numbers from smallest to largest: 4.08, 4.8, 4.088, 4.18

Answer: _______ < _______ < _______ < _______

10. Use the distributive property to rewrite 7 × (20 + 6) in a different way, then calculate the answer.
11. Sarah is saving money for a new bike that costs $180. She already has $45. If she saves $15 each week, write and solve an equation to find how many weeks it will take her to have enough money.

Equation: _________________________________

Answer: _______ weeks

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