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Essential Mathematical Methods 1 & 2 CAS Teacher CD-ROM
Chapter 1 Reviewing Linear Equations: Assignment 1 Date Due:Monday 6th December
Multiple-choice questions
1
2
3
4
The solution of the equation 4x + 5 = 9 – 4x is
A
5
4
B
4
C
1
2
D
2
E
0
x x4
If 6 – 2 = 0, then x equals
A
–3
B
–1
C
1
D
2
E
6
In algebraic form, 5 is four times 2 less than x can be written as
A
5 = 4(x – 2)
B
4x – 2 = 5
C
5 = 5(x – 2)
D
4
x+2=5
E
5
–2=x
4
If the equations 4x – 5y = 14 and 5x – 4y = 13 are simultaneously true, then x – y equals
A
–5
B
–1
C
0
D
1
E
3
© Evans, Lipson, Wallace 2006
1
Essential Mathematical Methods 1 & 2 CAS Teacher CD-ROM
Chapter 1 Reviewing Linear Equations: Assignment 1 Date Due:Monday 6th December
5
If Cheryl buys five donuts and four chocolate bars it will cost her $28. If she buys four
donuts and two chocolate bars it will cost her only $17.60. The price of each item is
6
7
8
A
donut = $2.40, chocolate bar = $4.00
B
donut = $2.40, chocolate bar = $3.75
C
donut = $2, chocolate bar = $4.50
D
donut = $1.40, chocolate bar = $5.12
E
donut = $2.20, chocolate bar = $5
y
For non-zero values of x and y, if 5x + 4y = 0 then the ratio is equal to
x
5
A
–4
B
4
–5
C
4
5
D
1
E
5
4
The solution of the equation
A
c
a+b
B
cab
C
c–a–b
D
c(a + b)
E
cab
a+b
x x
+ = c is
a b
I bought x cards for $c each and y envelopes for $d each. The average price of each
item, in dollars, is
A
x+y
c+d
B
c+d
y+x
C
xc + yd
y+x
D
y+x
xc + yd
E
c d
+
x y
© Evans, Lipson, Wallace 2006
2
Essential Mathematical Methods 1 & 2 CAS Teacher CD-ROM
Chapter 1 Reviewing Linear Equations: Assignment 1 Date Due:Monday 6th December
9
The mean of four numbers is x. The mean of the same four numbers and 50 is 6. The
value of x is
10
A
2
B
–5
C
8
D
–10
E
40
A number is multiplied by three, and two-thirds is subtracted from the number. The
result is three-quarters. The number is
A
B
C
D
E
11
12
1
36
3
21
17
36
21
12
11
12
The values of x which satisfy the inequality 2 – 4x < 22 are
A
x>5
B
x > –5
C
x > –6
D
x < –6
E
x < –5
The perimeter of the rectangle shown is 60 cm.
3x + 2 cm
x  cm
The value of x is
A
17
B
4.25
C
8
D
6
E
8.5
© Evans, Lipson, Wallace 2006
3
Essential Mathematical Methods 1 & 2 CAS Teacher CD-ROM
Chapter 1 Reviewing Linear Equations: Assignment 1 Date Due:Monday 6th December
13
A girl runs at a constant speed for t minutes to run m km. How long, in seconds, will it
take her to run n km if she runs at the same speed?
14
A
60nt
m
B
60mt
n
C
mt
60n
D
nt
m
E
mt
60n
If a =
A
B
15
mn  n then n equals
a2
m
m + na
C
a2 + n
D
m + a2
m
E
a2
m1
A cyclist travels m km at v km/h and n km at u km/h. The average speed of the cyclist is
A
vu(m + n)
mu + nv
B
vu
mu + nv
C
(m + n)
mu + nv
D
m+n
u+v
E
v+u
2
© Evans, Lipson, Wallace 2006
4
Essential Mathematical Methods 1 & 2 CAS Teacher CD-ROM
Chapter 1 Reviewing Linear Equations: Assignment 1 Date Due:Monday 6th December
Short-answer questions (technology-free)
1
2
Solve each of the following equations for x:
a
3x – 6 = –2
b
2 – 3x = 4
c
2 – 3x = 5x – 2
d
x 3 2  x
4 + 3 =5
Solve the simultaneous equations:
8x + 3y = 14
2x + y = 4
3
A boy is three years younger than his sister. If his age three years ago was two-thirds
her age at that time, what are their present ages?
4
A man bought 20 books. Some cost $18 each and the others cost $3 each. If he spent a
total of $210 on these books how many of the $3 books did he buy?
1  3x
2  –2.
5
Solve the inequality
6
If a =
7
If v2 = u2 + 2gs, find s when v = 20, u = 10 and g = 10.
8
A shopkeeper mixed a herb worth $2.50 a kilogram with another herb worth $3.50 a
y2  xz
5 , find a when x = 4, y = 7 and z = 6.
kilogram. He sold 20 kilograms of the mixture at $2.80 per kilogram. Find the weights
of the two different herbs he mixed together.
© Evans, Lipson, Wallace 2006
5