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Algebra Problem-Solving Quest
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Algebra Problem-Solving Quest
Choose the best answer where options are given. For written questions, show your working and include units when needed.
Choose and check
1.Make r the subject of r + s = 41.
- r = 41 + s
- r = 41 − s
- r = s − 41
- r = 41s
2.Make k the subject of 5k − j = 18.
- k = (18 − j) ÷ 5
- k = (18 + j) ÷ 5
- k = 18 + 5j
- k = 5(18 + j)
3.If a = 7, what is 3a + 4?
- 15
- 21
- 25
- 33
4.Select every pair of like terms.
- 4m and 9m
- 2p and 2p²
- 8 and 3
- 5xy and 7yx
Match, rearrange and simplify
5.Match each expression to its simplified form.
- 6x + 2x
- 10 − 4
- 3a + 5a − a
- 4y + 3 + 2y + 6
- 6
- 6y + 9
- 8x
- 7a
6.Rearrange P = 2w + 2h to make h the subject.
7.Use P = 58 cm and w = 11 cm in the formula P = 2w + 2h. Find h.
8.Simplify 7n − 3 + 2n + 8.
9.A kayak hire shop charges $28 per hour plus a one-off $16 launch fee. The total cost is C dollars for t hours, so C = 28t + 16. Rearrange the formula to make t the subject.
10.Using C = 28t + 16, how many hours of kayak hire does a total payment of $156 cover?
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