Algebra worksheet — GCSE Foundation

1.Solve 5(x + 3) = 40

2.p = 4. Work out the value of 2p³.

3.Work out the distance of the point (−6, 4) from the x-axis.

4.Work out the value of (x − 4)/2 + 3 when x = 10

5.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?

6.Which expression is equivalent to 3(x + 4) − 2(x − 1)?

7.Solve 5x − 9 = 16

8.The first five terms of a sequence are 6, 10, 14, 18, 22. Work out an expression, in terms of n, for the nth term.

9.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.

10.For the equation 2x + 3 = 11, and the inequality 2x + 3 > 11, which statement correctly compares their solutions?

11.Aisha saves money each week. In week 1 she has saved £15 in total, in week 2 she has saved £23 in total, in week 3 she has saved £31 in total and in week 4 she has saved £39 in total, with the total increasing by the same amount each week. Work out an expression, in terms of n, for the total amount she has saved, in pounds, after week n.

12.Simplify 2a + 3b − a + 2b − b

13.Isla says that the lines y = 2x + 1 and y = −2x + 3 are parallel. Write down the statement that gives the correct answer for the correct reason.

14.Which of these equations gives a straight-line graph when plotted?

15.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.