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.Solve 3(2x − 1) = 27
- 2.To rearrange the formula y = 3x − 8 to make x the subject, Priya writes: 'Add 8 to both sides to get y + 8 = 3x, then divide both sides by 3 to get x = y + 8 ÷ 3.' Work out the correct expression for x.y = 3x − 8
- 3.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 4.Work out the value of 2x² when x = −3
- 5.There are 30 students in a Year 10 maths class. There are 2 more boys than girls. Work out the number of boys and the number of girls.
- 6.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 7.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 8.Which of these is a factor of 15x + 20?
- 9.The first four terms of a sequence are 2, 6, 10, 14. Priya says the nth term is 4n. Work out the correct expression for the nth term.
- 10.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.
- 11.To rearrange y = 2x − 5 to make x the subject, Sam writes: 'Add 5 to both sides to get y + 5 = 2x, then divide both sides by 2 to get x = (y + 5)/2.' Which statement about Sam's method is correct?y = 2x − 5
- 12.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.
- 13.p = 4. Work out the value of 2p³.
- 14.Write down the expression that means the same as (x + 7) ÷ 4.
- 15.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
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