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Year 7 Algebra Assessment
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Year 7 Algebra Assessment
Answer every question. Show your working for equations and problem-solving questions.
Choose and decide
1.A jar holds an unknown number of counters. Adding 18 counters makes 43 altogether. Which equation represents the situation?
- x − 18 = 43
- x + 18 = 43
- 18x = 43
- x ÷ 18 = 43
2.Are 6a + 2a and 8a equivalent expressions?
- True
- False
3.Which property is used to rewrite 5 × (8 + 2) as (5 × 8) + (5 × 2)?
- Commutative property
- Associative property
- Distributive property
- Multiplicative identity property
4.Is 6.304 greater than 6.34?
- True
- False
Equations, expressions and patterns
5.Solve m − 9 = 17.
6.Solve 4p = 36.
7.Continue the pattern 5, 9, 13, 17, … by writing the next two terms.
8.For the pattern 5, 9, 13, 17, …, describe how each term changes to make the next term.
9.For the pattern 5, 9, 13, 17, …, write an expression for the term in position n.
10.Simplify 7b + 4b.
11.Simplify 6 × 3x.
12.Simplify 4y + 9 − y + 2.
13.A skating rink charges $9 per entry and a one-off $4 equipment fee. Write an expression for the total cost C for e entries.
Apply your algebra skills
14.Put these decimals in order from least to greatest: 3.07, 3.7, 3.077, 3.17.
15.Rewrite 8 × (30 + 4) as a sum of products, then calculate its value.
16.Nikau has $36 saved and puts away $12 each week. Write an equation for when her savings reach $180, then solve it to find the number of weeks.
3 printable pages
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