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Year 10 Algebra Quiz
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Year 10 Algebra Quiz
Answer every question. Show your working for questions that require calculations. Give units where needed.
Expressions and equations
1.Simplify 7a − 3a + 2a.
2.Expand and simplify 3(2p − 5).
3.When t = −2, evaluate t² + 4t − 1.
4.Solve 5m − 6 = 29.
5.Factorise x² + 9x + 20.
6.Simplify r⁴ × r⁷.
- r¹¹
- r²⁸
- 2r¹¹
- r³
7.Simplify (2q³)².
8.Expand and simplify (x + 3)(x + 6).
9.Solve 4x + 3 = 2x + 17.
Algebra in context
10.A rectangle has length (3x − 2) cm and width (x + 4) cm. Write a simplified expression for its perimeter.
11.A number y is calculated using y = 5x − 8. Find y when x = 6.
12.Two consecutive whole numbers have a sum of 65. Let the smaller number be k. Write an equation and find both numbers.
13.Match each expression on the left with its equivalent expression on the right.
- 2(3x + 4)
- x⁶ ÷ x²
- (x + 2)(x + 5)
- 3a + 7a − a
- x² + 7x + 10
- 6x + 8
- x⁴
- 9a
Challenge
14.Solve the simultaneous equations x + y = 11 and 3x − y = 9.
15.Factorise 3x² + 11x + 6.
16.Given that 2ˣ = 32, find x and then calculate 2ˣ⁺².
3 printable pages
Page 1
Page 2
Page 3
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