Remember to check your solution by substituting back into the original equation.
1. Solve the following equations. Show all of your working.
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(a) |
x + 4 = 15 |
(f) |
6a = 48 |
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(b) |
y + 6 = -10 |
(g) |
-2b = 14 |
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(c) |
z − 3 = 12 |
(h) |
2 = 3 + p |
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(d) |
-3 = q − 5 |
(i)
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(e) |
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(j)
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2. Solve the following equations:
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(a) |
4y − 5 = 15 |
(f) |
3x + 8 = 14 |
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(b) |
7x + 10 = 24 |
(g) |
3 − q = 7 |
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(c) |
5x − 6 = 9 |
(h) |
-2x − 6 = 14 |
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(d) |
6 + 2x = 12 |
(i) |
2s + 6 = 14 |
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(e) |
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(j) |
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3. Expand the following brackets and then solve the equations:
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(a) |
2(2a − 3) = 10 |
(d) |
3(d − 3) − d = 11 |
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(b) |
3(b + 4) = 21 |
(e) |
-3(e + 2) = 9 |
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(c) |
8(6 − 2c) =16 |
(f) |
6(2f − 6) = 12 |
4. (a) I think of a number, multiply it by 4 and then take away 5. The result is 27. What is the original number?
(b) Find three consecutive odd numbers whose sum is 93.
(c) Five times a number is 17 more than 43. What is the number?
(d) Anna is two years older than Nicola. The total of their ages is 28 years. How old is each girl?
