Brackets

An introduction to using brackets in algebra

Simplifying

7x + 7y + 7p + 7w

7(x + y + p + w)

7x + 7y + 7p + 7w

Simplifying

9m + 9n + 9p + 18c

9(m + n + p + 2c)

9m + 9n + 9p + 18c

Factorise

3w + 3p + 6q + 18a

3(w + p + 2q + 6a)

Expand

3(w + p + 2q + 6a)

3w + 3p + 6q + 18a

Factorise

8k + 8m + 16

8(k + m + 2)

Expand

5(g – 2p + 7)

5g - 10p + 35

Expand

-2(w – 3d + 5)

-2w + 6d - 10

Factorise

20a + 15b + 25c

5(4a + 3b + 5c)

Exercise

Factorise:

5a + 5b

9m – 9n

3 + 6t

4a + 4b – 4c

4w – 6

10d – 2e

-2f – 4j

Expand:

3(m – n)

2(b – 50)

-3(r – t)

Solve

4(2x – 3) = 20

Exercise

Factorise:

5a + 5b = 5(a + b)

9m – 9n = 9(m – n)

3 + 6t = 3(1 + 2t)

4a + 4b – 4c = 4(a+b-c)

4w – 6 = 2(2w – 3)

10d – 2e = 2(5d – e)

-2f – 4j = -2(f + 2j)

Expand:

3(m – n) = 3m – 3n

2(b – 50) = 2b – 100

-3(r – t) = -3r + 3t

Solve

4(2x – 3) = 20

8x – 12 = 20

8x = 32

x = 4