year 8 maths

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Semester review 1
Semester review 1
Chapter 1: Algebraic techniques 2 and indices
Multiple-choice questions
1 8 3 × 8 4 is equal to:
A 8 −1 B 64 7 C 8 7 D 8 12 E 64 12
2 4x + 5 + 3x is equal to:
A 8x + 4 B 12x C 12 + x 2 D 2x + 12 E 7x + 5
3 12m + 18 factorises to:
A 2(6m − 9) B −6(2m − 3) C 6(3 − 2m) D 6(2m + 3) E 12(m + 6)
4 5a + 5 − 4a − 4 − a − 1 equals:
A a – 1 B 0 C 2 – a D a + 1 E a
5 Which answer is NOT equivalent to (m × n) ÷ (p × q) ?
A
mn
pq
B m × n pq
C
m
p × n q
D
mnq
p
E mn × 1 pq
Short-answer questions
1 Write an expression for:
a the sum of p and q b the product of p and 3
c half the square of m d the sum of x and y , divided by 2
2 If a = 6, b = 4 and c = −1 , evaluate:
a a + b + c b ab − c c a(b 2 − c)
ab
d 3a 2 + 2b e abc f
c
3 Simplify each algebraic expression.
a 4 × 6k b a + a + a c a × a × a d 7p ÷ 14
e 3ab + 2 + 4ab f 7x + 9 − 6x − 10 g 18xy ÷ 9x h m + n − 3m + n
4 Simplify:
5xy
3x
a
b
5
7 − 2x
w
c
7
5 + w d 3a + a 2
2
5 Simplify:
m
a
5 × 5 ab
b
6
7 ÷ 1 m
c
7
3 × n 2 ÷ mn
4
6 Expand, and simplify where necessary.
a 6(2m − 3) b 10 + 2(m − 3) c 5(A + 2) + 4(A − 1)
7 Factorise:
a 18a − 12 b 6m 2 + 6m c −8m 2 − 16mn
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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