Preliminary Mathematics Worksheet
Linear Equations
NSW Syllabus Ref: 1.4

© Mathematics Plus, 2002


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1.   Solve these equations:

I

II

III

(a)

x - 3 = -2

(a)

2 + y = -2

(a)

3 = x - 1

(b)

5x = 30

(b)

6y = -24

(b)

-x = -12

(c)

3x + 5 = 11

(c)

4x - 5 = 16

(c)

10 - x = 2

(d)

2y + 5 = -3

(d)

6 - 7x = 7

(d)

-3p - 2 = -1

(e)

4t - 1 = 2t + 1

(e)

3v + 2 = 7 - 2v

(e)

5x - 3 = 3 - 5x

(f)

10x + 1 = 15x - 4

(f)

y - 2 = 3 - 2y

(f)

-m - 3m = 2m + 4




2.    Solve these equations by first removing brackets:

I

II

III

(a)

6(x + 2) = 24

(a)

3(y - 3) = 3

(a)

-6(2p + 1) = 18

(b)

4(y - 3) = 2y + 4)

(b)

5(a + 6) = 2(a + 3)

(b)

5y = 2(y - 5) + 3

(c)

3(2x + 1) = 2(x - 1) - 7

(c)

2(w+5) + 3(w-2) = 0

(c)

3(2q - 5) = 2 - (q - 5)




3.   Solve these equations:

I

II

III

(a)

(a)

(a)

(b)

(b)

(b)

(c)

(c)

(c)

(d)

(d)

(d)

(e)

(e)

(e)

(f)

(f)

(f)

(g)

(g)

(g)

(h)

(h)

(h)



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