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Solving Equations With Brackets - ANSWERS

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Solving Equations with Brackets

Question 1 – Complete these to test the waters!

a) 2(y + 2) = 8 b) 3(a + 2) = 12 c) 4(x – 4) = 40

d) 5(c – 3) = 35 e) 7(3 + a) = 49 f) (-2 + x) = 36

g) 6(6 + p) = 48 h) 9(x + 4) = 18 i) 4(a + 6) = 4

j) 8(3 + m) = 8

Question 2 – More practice? Work here

a) 2(4x + 8) = 32 b) 5(7x – 4) = 15 c) 5(5x – 3) = 35

d) 4(6x + 3) = 36 e) 7(2x – 7) = 7 f) 6(2x – 3) = 42

Question 3 – Need a bigger challenge? Go!

a) 3(2x + 1) + 2(4x + 2) = 35

b) 2(x + 3) + 3(x + 1) = 24

c) 4(3x – 2) + 8(x + 1) = 100

d) 6(x + 2) + 4(3 – x) = 30

e) 5(2x + 3) + 2(5x + 1) = 37

Question 4 – The Big Time – These are tough!

a) 2(3x + 1) – 3(x + 2) = 2

b) 5(2x + 3) – 3(3x -2) = 22

c) 4(2x – 3) + 2(x – 4) = 10

d) 3(4x – 2) + 5(x – 1) = 23

e) 8(2x – 1) – 3(5x – 3) = 1
Solving Equations With Brackets – Answers
Question 1
a) y = 2 b) a = 2 c) x = 14 d) c = 10 e) a = 4 f) x = 8
g) p = 2 h) x = -2 i) a = -5 j) m = -2
Question 2
a) x = 2 b) x = 1 c) x = 2 d) x = 1 e) x = 4 f) x = 5
Question 3
a) x = 2 b) x = 3 c) x = 5 d) x = 3 e) x = 1
Question 4
a) x = 2 b) x = 1 c) x = 3 d) x = 2 e) x = 0

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