Algebra worksheet — GCSE Foundation

1.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.

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

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

4.Write down the expression that means the same as 3 × y × y.

5.Write down the first four terms of the sequence with nth term 6n − 5.

6.The graph of y = x² − 7x + 2 crosses the x-axis at two points. One root, read from the graph, is approximately x = 0.30. Using the fact that the sum of the two roots of x² − 7x + 2 = 0 is 7, estimate the other root, correct to 2 decimal places.

7.The diagram shows the graph of a quadratic function. Which equation could it represent?

8.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.

9.The solution set of x ≥ −1 is drawn on a number line. Which description of that number line is correct?

10.Which of these is an inequality?

11.Kai writes the expression 8 − 3x + 5x² and says it has three terms. Ryan says it only has two terms because a number on its own is not a term. Work out the correct number of terms in the expression.

12.In which quadrant does the point (−3, 0.5) lie?

13.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.

14.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.

15.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.