Algebra worksheet — GCSE Foundation

1.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.

2.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.

3.A ball is dropped and bounces. The height of each bounce after the first is 8 cm less than the bounce before it. The first bounce reaches 60 cm. Work out the height of the 5th bounce.

4.Given that (x + 2)(x − 7) = 0, write down the two solutions of x.

5.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.

6.The point A lies on the x-axis. Which statement about A must be true?

7.Which expression means the same as 3 × a × b?

8.A plumber charges a £35 call-out fee plus £20 for each hour worked, h. On a certain job the total charge was £115. Work out how many hours the plumber worked.

9.The solution to an inequality is n ≤ 5. Write down the largest integer value of n that satisfies this inequality.

10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.

11.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.

12.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).

13.Write down the expression that means the same as p + p + p + q.

14.Which expression is equivalent to 0.5(4x + 6) − x?

15.The formula for the perimeter of a rectangle is P = 2(l + w). One rectangle has l = 9 cm and w = 4 cm. A second rectangle has l = 6 cm and w = 5 cm. Work out how many cm greater the perimeter of the first rectangle is than the perimeter of the second.