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The Westminster School, Dubai 2012-2013, Term II
Subject: MATHEMATICS Year: 8
Topic: ALGEBRA
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Multi-Step Equations
Solve each equation.
1) −20 = −4x + 6x 2) 6 = 1 − 2n + 5
3) 8x − 2 = −9 + 7x 4) a + 5 = −5a + 5
5) 4m − 4 = 6m 6) p − 1 = 5p + 3p − 8
7) 5p − 14 = 8p + 4 8) 2p − 4 = −9 + p
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Change the suject of the formula
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Expand
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Factorize
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Simplifya ) 5x 10x + 15 =
b)3 x − 12 3x
=
c)12 x − 18 y + 21 z 6y
=
d) 2 m m² − 2m
=
e)x ² − x x
=
f) 12 x ²
16x5 − 20x²
=
g) x + 3
4x + 12
=
h)2 x − 8 x − 4
=
15
i)2 x − 2 y 3x − 3y
=
Make factors, and reduce.
a)x ² − 2 x − 3 x² − x − 2
=
b)x ² + x − 2x² − x − 6
=
c)x ² − 2 x + 1 x² − 1
=
d)x ² − 100 x + 10
=
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e) x + 3
x² + 6x + 9
=
f) x ³ + 4 x ² _ x² + x − 12 =
Reduce to lowest terms -- if possible.
a)3 + x 3x
b)8 a + b 2ab
c)8 a + 2 b 2ab
=
d)6 a + b3a + b
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e)6( a + b ) 3(a + b)
=
f)2 x + 4 y + 6 z 10
=
g)2 x + 4 y + 5 z 10
h)( x + 1) + ( x + 2) (x + 1)(x + 3)
i)( x + 1) ( x + 2) (x + 1)(x + 3)
=
j)ab + c abc
=
k)ab + ac abc
=
l)x ² − x − 12x² + x − 6
=
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