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.
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Algebra worksheet — GCSE Foundation
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- 1.A number, w, satisfies the statement "three times w, minus 5, is at least 16". Which of these is the correct inequality for w?
- 2.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 3.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 4.Which of these is a formula, rather than an expression, an equation, or an identity?
- 5.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 6.Solve the simultaneous equations 3x + 2y = 16 and x + y = 7. Work out the value of y.
- 7.A number machine multiplies its input by 5. Work out the output when the input is −1.
- 8.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 9.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 10.A vertical line passes through the point (4, 7). Write down the equation of this line.
- 11.A colony of bacteria doubles in number every hour. At 9am there are 5 bacteria in the colony. Work out how many bacteria there will be at 12 noon.
- 12.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 13.Solve 2x + 7 = x + 13
- 14.Write down the expression that means the same as p + p + p + q.
- 15.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
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