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EMM1&2CAS_Ch01_DD

EMM1&2CAS_Ch01_DD
EMM1&2CAS_Ch01_DD

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

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