Expanding single brackets

The Maths Habit

Work out 6 × 23
in your head.
How did you do it?

120 + 18 = 138, for example

Work out

  1. 3 × 8

    24

  2. 3 × 8x

    24x

  3. 5 × −2y

    −10y

  4. x × x

    x2

Expand
Multiply everything inside the bracket by the term outside.

Expand 5(2x + 3).

2x+ 3510x+15
Answer10x + 15

Expand 4(3x − 2).

3x− 2412x−8
Answer12x − 8

Expand 5(2x + 3).

2x+ 3510x+15
Answer10x + 15

Expand 6(x + 5).

x+ 566x+30
Answer6x + 30

Expand 5(2x + 3).

2x+ 3510x+15
Answer10x + 15

Expand 3(4a − 5).

4a− 5312a−15
Answer12a − 15

Expand 5(2x + 3).

2x+ 3510x+15
Answer10x + 15

Expand 7(2 + 3y).

2+ 3y714+21y
Answer14 + 21y

Expand 5(2x + 3).

2x+ 3510x+15
Answer10x + 15

Expand 6(5p + 2q).

5p+ 2q630p+12q
Answer30p + 12q

Expanding single brackets worksheet, page 1

Answer sheet

  1. A rectangle is 4 wide and x + 5 long. Write an expression for its area without brackets.

    4x + 20

  2. Expand and simplify 2(x + 3) + 3(x + 1).

    5x + 9

  3. Find the missing term. 3(? + 5) = 12x + 15

    12x ÷ 3: 4x

  1. Expand 6(2x + 5)

    12x + 30

  2. Expand 4(3 − 2y)

    12 − 8y

  3. 4(? − 3) = 20x − 12. Find the missing term.

    5x
Exit tickets to print