Expanding single brackets (simple)
Expanding multiple brackets
Problem Sums
100

Expand 2(x + 3)

2x + 6

100

Expand 3 + 2(x + 9)

2x + 21

200

Expand -3(x + 4)

-3x - 12

200

Expand 10y -8(4x - 5y)

50y -32x

200

Joan has $3 left after buying 6 cups at $p each. Write an algebraic expression for the amount of money she had at first.

$(6p+3)

300

Expand 3b(a + 4)

3ab + 12

300

Expand 2(x + 4) + 5(2x + 3y)

12x + 15y + 8

300

There are (2a + b) books in a pile. The thickness of each book is 2 cm. Find the height of the pile of books in terms of a and b, expressing your answer in the expanded form. 

4a + 2b

400

Expand -4x(y - 6)

-4xy + 24x

400

Expand 3y(2 - 3x) - 2(x +4y)

-2x -2y-9xy

400

Benson is x years old.

Julia is thrice as old as Benson.

David is 10 years older than Julia.

Write down an expression in terms of x for the total sum of their ages.

7x+10

500

Expand (4a-8b+12c)(-5)

-20a + 40b - 60c

500

Expand -(2x - 5a) - (11 +9x - 4a) 

-11x + 9a - 11

500

Laura is x years old now. Her mother was 4 times as old as Laura 5 years ago. Express the present age of Laura's mother in terms of x. 

4x - 15