Question 1 Easy
Solve 3x + 5 = 20.
Show answer
Answer: 5
- Start from 3x + 5 = 20.
- Undo the add or subtract, then divide by the number in front of x.
- Method (1): Start from 3x + 5 = 20.
- Accuracy (1): Answer 5
Solving linear equations practice questions with answers
A second set of solving linear equations questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.
More questions
Question 2 Easy
Solve 7x + 3 = 3x + 15.
Show answer
Answer: 3
- Collect the x terms from 7x + 3 = 3x + 15.
- Divide by the coefficient of x.
- Method (1): Collect the x terms from 7x + 3 = 3x + 15.
- Accuracy (1): Answer 3
Question 3 Medium
A number is multiplied by 4, then 6 is added. The result is 22. What is the number?
Show answer
Answer: 4
- Start from 4x + 6 = 22.
- Undo the add or subtract, then divide by the number in front of x.
- Method (1): Start from 4x + 6 = 22.
- Accuracy (1): Answer 4
Question 4 Medium
Solve 4x + 7 = 15.
Show answer
Answer: 2
- Start from 4x + 7 = 15.
- Undo the add or subtract, then divide by the number in front of x.
- Method (1): Start from 4x + 7 = 15.
- Accuracy (1): Answer 2
Question 5 Hard
Solve 4x − 3 = 25.
Show answer
Answer: 7
- Start from 4x − 3 = 25.
- Undo the add or subtract, then divide by the number in front of x.
- Method (1): Start from 4x − 3 = 25.
- Accuracy (1): Answer 7
Question 6 Hard
A number is multiplied by 5, then 8 is added. The result is 33. What is the number?
Show answer
Answer: 5
- Start from 5x + 8 = 33.
- Undo the add or subtract, then divide by the number in front of x.
- Method (1): Start from 5x + 8 = 33.
- Accuracy (1): Answer 5
Exam-style question
A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.
Exam-style question 12 marks
Solve 5x + 5 = 2x + 26.
Show answer
Answer: 7
- Collect the x terms from 5x + 5 = 2x + 26.
- Divide by the coefficient of x.
- The result is 7.
- Method (1): Collect the x terms from 5x + 5 = 2x + 26.
- Accuracy (1): Answer 7
Quick checks
Short one-step questions. Pick an option before you open the answer.
Check 1
Solve 2x + 3 = 7.
- 2
- 4
- 12
Show answer
2 The result is 2.
Check 2
Solve 6x + 6 = 3x + 9.
- 1
- 3
- 11
Show answer
1 The result is 1.
Check 3
Solve 2(x + 2) = 14.
- 5
- 7
- 15
Show answer
5 The result is 5.
Check 4
Solve 6x − 5 = 49.
- 9
- 11
- 19
Show answer
9 The result is 9.
Check 5
A number is multiplied by 3, then 6 is added. The result is 27. What is the number?
- 7
- 9
- 17
Show answer
7 The result is 7.
Check 6
Solve 3x + 5 = 20.
- 5
- 7
- 15
Show answer
5 The result is 5.
Check 7
Solve 7x + 7 = 4x + 16.
- 3
- 5
- 13
Show answer
3 The result is 3.
Check 8
Solve 3(x + 3) = 27.
- 6
- 8
- 16
Show answer
6 The result is 6.
Check 9
Solve 2x − 6 = 4.
- 5
- 7
- 15
Show answer
5 The result is 5.
Check 10
A number is multiplied by 4, then 8 is added. The result is 20. What is the number?
- 3
- 5
- 13
Show answer
3 The result is 3.
Check 11
Solve 4x + 7 = 15.
- 2
- 4
- 12
Show answer
2 The result is 2.
Check 12
Solve 8x + 8 = 2x + 38.
- 5
- 7
- 15
Show answer
5 The result is 5.
Check 13
Solve 4(x + 4) = 44.
- 7
- 9
- 17
Show answer
7 The result is 7.
Check 14
Solve 3x − 1 = 17.
- 6
- 8
- 16
Show answer
6 The result is 6.
Check 15
A number is multiplied by 5, then 4 is added. The result is 24. What is the number?
- 4
- 6
- 14
Show answer
4 The result is 4.
Keep going with Solving linear equations
Practise free
AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.