Oxford AQA IGCSE · Mathematics (9260)

Solving equations and inequalities: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Solving equations and inequalities.

10 questions24 marksFree, no account

Question 1

1 mark

Solve the equation: \(5x - 4 = 2x + 11\)

Question 2

1 mark

Solve the following simultaneous equations to find the values of \(x\) and \(y\):
\(3x - 2y = 13\)
\(x + 2y = 7\)

Question 3

1 mark

Solve the following simultaneous equations to find the solutions for \( (x, y) \):
\( 2x - y = 1 \)
\( x^2 + xy = 2 \)

Question 4

1 mark

Solve the following linear equation for \(x\):
\( 4(x + 3) = 18 - 2x \)

Question 5

1 mark

Identify the number line that correctly represents the solution to the inequality: \(4x + 7 \leq 23\)

Question 6

2 marks

Solve the equation \( \frac{2x + 5}{3} = 7 \).

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Solve the following simultaneous equations:
\( 3x + 2y = 12 \)
\( x - y = 9 \)

Write your answer out first, then check it against the worked solution.

Question 8

5 marks

Solve the quadratic inequality:
\( x^2 - 4x - 12 < 0 \)

Write your answer out first, then check it against the worked solution.

Question 9

4 marks

Solve the following equation for \(x\):
\( 3(2x - 5) = 2(x + 1) + 7 \)
Show all steps of your rearrangement and working.

Write your answer out first, then check it against the worked solution.

Question 10

4 marks

Solve the following linear equation for \(x\):
\( \frac{2(x + 5)}{3} - \frac{x - 2}{4} = 3 \)

Write your answer out first, then check it against the worked solution.

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