Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 2.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 3.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
- 4.The simultaneous equations y = 3 and 4x − y = 9 are given. Work out the value of x.
- 5.A rule turns each input x into an output y. The inputs are x = 1, 2, 3, 4 and the matching outputs are y = −5, −3, −1 and one missing value. Work out the missing value of y.
- 6.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 7.The formula for converting a temperature in Fahrenheit, F, to Celsius, C, is C = 5(F − 32) ÷ 9. Work out C, to 1 decimal place, when F = 98.6.
- 8.x = 5. Work out the value of 3x² − 4.
- 9.Which of these is an equation, rather than an expression, a formula or an identity?
- 10.Work out the value of 3a − 2b when a = 5 and b = 4
- 11.The graph of a straight line has equation y = 4x − 5. Beth says the y-intercept is 4. Work out the correct y-intercept.y = 4x − 5
- 12.The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width and h is the height. Make h the subject of the formula.
- 13.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.
- 14.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 15.A number machine multiplies its input by 5. Work out the output when the input is −1.
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