Chapter 1 Reviewing linear equations 1The solution of the linear equation 3t – 7 = 11 is
A 4 3
B 3 4
C –3 4
D 6
E –6
2 The solution of the equation 2x + 5 = 9 – 3x is
A 5 4
B 1
C 7 8
D 4
E 4 5
3If x
6 –
x ? 2
2 = 0, then x equals
A–3
B–1
C 1
D 2
E 3
4 For the equation 3x + 2 =
5 – 5x the solution is
A 3 8
B 3 4
C 7 4
D ?2 3
E ?3 4
5 For the equation 4w? 3
2?
w? 1
6 = w the solution is
A w = 8 5
B w = 4 11
C w = 2
D w = 10 7
E w = 1 2
6 In algebraic form, 3 is four times 2 less than x can be written as
A 3 = 4(x – 2)
B4x – 2 = 3
C 3 = 5(x – 2)
D
4
x + 2 = 3
E 3
4 – 2 = x
7 If the equations 2x – 3y = 12 and 3x – 2y = 13 are simultaneously true,
then x – y equals
A –5
B–1
C0
D 1
E 5
8The solution to the following simultaneous equations is:
x 2 + y
3 = 6
3x ?y = 12
A x = 20
3, y= 8
B x = 2, y = 0
C
x = 1, y = ?3 D x = 203, y = 6 E x = 32, y = ?32
9 The values of x which satisfy the inequality 49 ? 13x 2
> 5 are A
x > 3 B
x > ?3 C
x = ?3 D
x < 3 E
x < 397
10 If Cheryl buys five donuts and four chocolate bars it will cost her $14. However, if she
buys four donuts and two chocolate bars it will cost her only $8.80. The price of each item is
A
donut = $2.20, chocolate bar = $0.75 B
donut = $1.40, chocolate bar = $1.75 C
donut = $1.80, chocolate bar = $0.80 D
donut = $1.40, chocolate bar = $1.60 E
donut = $1.20, chocolate bar = $2
11 For non-zero values of x and y , if 3x + 2y = 0 then ratio y x
is equal to A
?32 B
?23 C
23 D
1 E
34
12 If t =
x x ? a then x is equal to A at + a
B at – a
C
1 t?a
D t?a t
E
at t? 1
13If x = –4, the value of x
A–1
B –9
C–4
D
E
14 A sentry walks x paces of average length y metres in z minutes. His speed in kilometres
per hour is
A
6xy z× 102
B
xyz 6 × 104
C
xy
6z× 10?4
D
6x yz× 103
E
6xz y× 103
15If the formula V = 2
3h(t + w) is transposed to make t the subject
A t = 2hw 3V
B t = 3V
2h?w
C t = 3V? 2w 2h
D t = 3Vh
2?w
E t = 2
3h(V + w)
ANSWERS: 1: D
2: E
3: E
4; A
5: A
6: A
7: E
8: A
9: D
10: E
11: A
12: E
13: B
14: A
15: B