GCSE Mathematics (9-1)

9.1 Solving linear equations — Practise with help

Warm-up: remember

Answer these from memory. Do not look back at the section.

  1. Work out 3×4+23\times4+2.
  2. Work out 24÷624\div6.
Check the warm-up
  1. 1414. Multiply before adding.
  2. 44.

If an answer differs, revisit Section 1.4 for the order of operations and Section 1.2 for multiplication and division facts.

Practise with help

1. Solve x+6=14x+6=14.

Hint

Undo the addition.

Next step

Try the first operation or write the equation before opening the full solution.

Full working

Subtract 66: x=8x=8. Check: 8+6=148+6=14.

2. Solve 4x=284x=28.

Hint

Undo multiplication by 44.

Next step

Try the first operation or write the equation before opening the full solution.

Full working

Divide by 44: x=7x=7. Check: 4(7)=284(7)=28.

3. Solve 2x+3=152x+3=15.

Hint

Undo addition before multiplication.

Next step

Try the first operation or write the equation before opening the full solution.

Full working

Subtract 33: 2x=122x=12. Divide by 22: x=6x=6.

4. Solve 3(x+2)=213(x+2)=21.

Hint

Remove the outside factor first.

Next step

Try the first operation or write the equation before opening the full solution.

Full working

Divide by 33: x+2=7x+2=7. Subtract 22: x=5x=5.

5. Solve x/4−1=3x/4-1=3.

Hint

Add 11, then undo division by 44.

Next step

Try the first operation or write the equation before opening the full solution.

Full working

Add 11: x/4=4x/4=4. Multiply by 44: x=16x=16.

Settings

Colour scheme

Applies to every book you read here.

Reading theme

Applies to every book you read here.