Mathematics 30-2 Pre-Requisite Review
ROOTS AND POWERS
1.
The smallest number is
A.
2.
–16
C.

D. tan 72
B. –2
C. 8
D. 16
B. –75
C. 125
D. 243
Evaluate –53
–125
A.
4.
35
11
Evaluate (–4)2
A.
3.
B.
10
16
81
Evaluate
2
9
A.
B.
4
9
C.
2
3
D.
4
3
For the next 3 questions, remember the following:
ac b
b = radicand
5.
When
192 is written as a simplified mixed radical, the value of the radicand is
A.
6.
3
D. 48
15
B. 45
C. 75
D. 225
411
B. 430
C. 811
D. 1630
5
The expression that is equivalent to x is
A.
9.
C. 12
Simplify: 45  46
A.
8.
B. 8
When 5 3 is written as an entire radical, the value of the radicand is
A.
7.
c = index
x 
2 3
Simplify:
A.
26
B.
x10
 x10 
2 
x 
 x  x 
5
C. 
D.
C. 2x6
D. 2x20
2x 24
x4
B. 220
1
10.
Simplify: (9t 5 )2
A. 9t 10
11.
0
D. 81t 7
B. 1
C. 24
D. 24x
B. 24a13b4
C. 36a10 b4
D. 36a13b 4
Simplify: (3a5b)2  (4a3b2 )
A. 24a10b 4
13.
C. 81t 10
Simplify: 24( xy)0
A.
12.
B. 9t 7
Simplify:
A.
32a 5b3
2a 2b 1
b4
16 a 3
B. 
16b4
a3
C. 
16b4
a7
D.
a 3b 2
16
2
14.
Evaluate:
A.
15.
 216  3
–36
B. 36
Evaluate:  27 
A.
C. – 144
D. 144
1
81
D. 81
4
3

B. 
–81
189
4
C.
4
16.
 8 
Write   3 as a radical and then evaluate.
 27 
17.
Simplify each of the following. Write your answer with positive exponents only
3
a)
 2 x3 y 


 6 xy 5 


1
16 x 2
b)  2
2x
FACTORS AND PRODUCTS
18.
What is the value of the expression 5 x  4 x 2 when x = –3 ?
A. –93
B. –51
C. –21
D. 51
Numerical Response
The value of the expression 2a 2b  3bc when a = –5, b = 4 and c = –1 is _______.
19.
( x2  8x  5)  (5x  3x2  9)
Simplify:
A. 2 x 2  3x  4
20.
B. 2 x 2  3 x  4
B. 10 x 2  3 x  2
23.
B. 9 x 4  6 x  9
C. 9 x 4  6 x  1
A. 4t 2  18
B. 4t 2  3t  18
C. 4t 2  24t  18
D. 4t 2  27t  18
D. 9 x 4  9
Expand: (3x + 4y)(5x + 8y)
A. 15x2  4xy  32 y 2
B. 15x2  44xy  32 y 2
C. 15x  4xy  32 y
D. 15x2  32 y 2
2
Simplify: (2x  3)2
A.
25.
D. 10 x 2  13x  6
Expand: (t  6)(4t  3)
2
24.
C. 10 x 2  3 x  6
Simplify: (7 x4  5)  (3x  4)  (2x4  3x)
A. 9 x 4  6 x  9
22.
D. 4 x 2  3x  4
Simplify: (7 x2  5x  2)  (3x2  8x  4)
A. 4 x 2  3 x  6
21.
C. 2 x 2  3 x  14
4x2  9
B. 4 x 2  9
C. 4 x 2  6 x  9
D. 4 x 2  12 x  9
C. 4 x 2  13x  4
D. 4 x 2  7 x  4
Simplify: (2x  5)2  3( x  7)
A. 4 x 2  17 x  4
B. 4 x 2  17 x  46
26.
What is the greatest common factor of 24 p3q2r 5 , 28p3q4r 7 , and 32 p2q5r 3 ?
A. 8 p 4 q5r 7
27.
Factor:
B. (x + 4)(x + 3)
C. (x + 12)(x + 1)
D. (x + 7)(x + 5)
B. m + 3
C. m + 4
D. m + 6
C. x + 1
D. x – 1
When 4 x 2  25 is factored, one of the factors is
A. 4x + 25
30.
D. 4 p 2 q 2 r 5
When m 2  4m  12 is completely factored, one of the factors will be
A. m + 2
29.
C. 4 p 2 q 2 r 3
x 2  7 x  12
A. (x – 4)(x – 3)
28.
B. 2 p 2 q 2 r 3
B. 2x + 5
When 16x4 y 2  49 is factored completely, one of the factors will be
A. 4xy + 7
B. 4x – 7y
C. x2 y  7
D. 4x2 y  7
RELATIONS AND FUNCTIONS
If the pattern continued, then how many squares will be shaded in the sixth grid?
Grid 1
A. 2
32.
Grid 2
B. 3
Grid 3
C. 4
Grid 4
D. 6
Water Level
31.
The graph shows how the level of water in a container being filled
changes over time. The container that is being filled with water is
Time
A.
B.
C.
D.
33.
34.
The graph which represents the height versus time of a person above a pool as they dive off a
diving board is:
A.
B.
C.
D.
The graph shown at the right could represent:
A.
B.
C.
D.
35.
(–1, 3)
B. (2, –2)
C.
(3, –6)
D.
(5, –7)
Which of the following graphs represents a function?
A.
37.
Time
Which ordered pair does not satisfy the relation 5x + 3y = 4?
A.
36.
the cost of owning a car as it ages.
the temperature of a cup of coffee over time.
the height of a passenger on a ferris wheel ride.
the number of cars travelling over the bridge over
a 2 hour period.
B.
C.
D.
What is the domain of the relation in the arrow diagram?
A. {–8, –2, 3}
B. {–9, –6, –5}
3
–
9
C. {(–9,3), (–6,–2), (–5,–8)}
–
2
–
6
D. {(–8,–5), (–2,–6), (3,–9)}
38.
The domain of the following function is:
A. 4  x  4
B. 4  x  2
C. 4  x  2
D. 4  x  4
39.
The range of the relation represented by the graph is
A.
A.
B.
C.
4 y 3
5  y  5
y3
yR
Numerical Response
The range of the graph shown to the right is a  y  b .
The values of a and b respectively are ____ and ____.
Record your answer as
40.
What is the domain of the function y  x  2
A.
B.
C.
D.
41.
(Hint: graph it on your calculator)
xR
x2
x2
2  x  2
If g ( x)  2x2  3x  5 , then g (2) is
A.
19
B. 7
C. 3
D.
–9
Numerical Response
If h( x)  x  5 , the value of x if h( x) 
42.
17
, to the nearest tenth, is _________.
2
If p( x)  4 x  b and p(5)  7 , then the value of b is
A.
13
B. 23
C. 27
D. 33
Use the following graph to answer the following three questions
Cost of Renting a Car
120
100
Cost ($)
80
60
40
20
0
0
100
200
300
400
500
Distance (km)
43.
For a cost of $90 you could drive:
A.
B.
C.
D.
44.
From the graph, the flat rate of renting a car is:
A.
B.
C.
D.
45.
200 km
225 km
275 km
300 km
$0
$30
$40
$50
An equation that could represent the graph where C is the cost and d is the distance is:
A.
B.
C.
D.
C(d )  0.2d
C(d )  0.5d
C (d )  d  30
C(d )  0.2d  30
SYSTEMS OF EQUATIONS
46.
47.
The graph that illustrates the system
is
A.
B.
C.
D.
Solve the following system of equations for x:
A. –1
48.
3x  y  1
x  2 y  12
The solution of the system
A.
(0, 2)
B.
(2, 0)
C.
(–1, –1)
D.
(6, –2)
B. 1
y  3x  2
is:
2x  3 y  6
y  3x  3
y  4x
C. –3
D. 3