Algebra worksheet — GCSE Foundation

1.A theatre has rows of seats arranged so that row 1 has 12 seats, row 2 has 17 seats, row 3 has 22 seats and row 4 has 27 seats, with each row having 5 more seats than the row before. Work out an expression, in terms of n, for the number of seats in row n.

2.Which of these is a term, rather than a whole expression, an equation, or a formula?

3.Write down 0.2x with its coefficient written as a fraction in its simplest form.

4.A recipe gives the cooking time, in minutes, for a chicken as T = 40m + 20, where m is the mass in kg. A chicken has a mass of 1.8 kg. Work out the cooking time in hours and minutes.

5.Write down the gradient of the line with equation y = −x + 3.

6.Which of these is an expression?

7.Simplify p + p + p.

8.A straight line has gradient −3 and passes through the point (0, 1). Work out the value of y when x = 2.

9.Which expression means 'add 3 to n, then multiply the result by 4'?

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

11.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.

12.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.

13.A number machine multiplies its input by 5. Work out the output when the input is −1.

14.a = 2 and b = 5. Work out the value of ab².

15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.