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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
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