MATH SELF-DIAGNOSTIC TEST
2
1.
x2 + 9 = x + 3
True
False
2
2.
(
x 2 (x + 2) = x 3 + 2 x 2
3
)
3
True
False
2
3.
sin x2 is the same as sin2x
True
False
2
4.
The x intercept for the line represented by
the equation 3 x + 4 y − 7 =
0 is
7 
a.  , 0 
3 
 7
b.  0, 
 3
 7 
c.  − , 0 
 3 
7 
d.  , 0 
4 
7

e.  0, − 
3

2
5.
(cos x)2 is the same as cos2x
True
False
1
Academic Services, Core Education
© 2016, Southern Alberta Institute of Technology
MATH SELF-DIAGNOSTIC TEST
6.
7.
1
is the same as arcsinx
sin x
True
Note: arcsinx means the inverse function.
False
sin x 2
= sin x
x
True
False
8.
( x + 2 )2 + 2 = ( x + 2 ) + 2
x+2
True
False
9.
x + y +1
=1
1+ x + y
True
False
10.
x+2
= −1
x−2
True
False
11.
x − 2y − z
= −1
z + 2y − x
True
False
2
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MATH SELF-DIAGNOSTIC TEST
12.
1
3
2 x
is the same as
2x
a.
2x
b.
1
3
−
1
3
1
3
c.
x
2
d.
x 3
2
−
13.
1
(x2 + y)2 = x4 + y2
True
False
14.
tan 3 x
= tan x
3
True
False
15.
If simplified the expression (16c d
6
1
10 2
)
is equivalent to:
a.
b.
c.
d.
3
4c 3 d 5
8c 3 d 5
4c 6.5 d 10.5
None of the above
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MATH SELF-DIAGNOSTIC TEST
16.
If simplified the expression ( 2c −8 d 3 )
3
is equivalent to:
a.
b.
c.
d.
e.
3
17.
f(x) = x2 + 2x then f(x+1) is
a.
b.
c.
d.
e.
2
18.
19.
x2 + 4x + 3
x2 + 4x
x2 + 2x + 3
x2 + 4x + 4
x2 + 4x + 2
2x
5
=
3x − 1 7
a.
b.
c.
d.
e.
3
6c −24 d 9
6c −5 d 6
8c −5 d 6
8c −24 d 9
None of the above
then x is
2
3
4
5
6
In factored form 2R(R+r) – (R+r)2 is (R+r)(R-r)
True
False
4
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MATH SELF-DIAGNOSTIC TEST
20.
a.
b.
c.
d.
21.
3x + 1 −
When simplified
x−2
is:
3x + 1
3x + 1 − x + 2
3x + 1
2x + 3
3x + 1
2x +1
3x + 1
4x + 3
3x + 1
r
r−s
1+
r+s
When simplified
is:
r+s
1+ r − s
r (r + s )
b.
1+ r − s
a.
c.
d.
22.
2r 2
r+s
r+s
2
When adding
x
3x
the answer is:
+
x+2 x−4
x2 − x
a.
x2 − 4
4x2 + 2 x
b.
x2 − 8
4x2 − 2x
c.
x2 − 2 x − 8
2 x(2 x + 1)
d.
x2 − 2 x − 8
5
Academic Services, Core Education
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MATH SELF-DIAGNOSTIC TEST
23.
Perform the operation and simplify.
a.
b.
c.
d.
2
5
+
2
x
3x
2 + 15 x 2
3x 2
17
3x
2 + 15 x 2
3x3
15 x + 2
3x 2
24.
Circle the expression which is true.
3
1
= x2
a.
3 2
x
3
−
1
=x 2
b.
3 2
x
2
1
= x3
c.
3 2
x
2
−
1
=x 3
d.
3 2
x
25.
The algebraic expression
5 x 2 + 3x
5 + 3x
can be simplified to
2
2 zx + y + 4
2z + y + 4
a. True
b. False
26.
Circle the correct answer
2
a. ( sin 2 x ) = sin 2 4 x 2
b. ( sin 2 x ) = sin 2 4 x
2
c. ( sin 2 x ) = sin 2 2 x
2
d. ( sin 2 x ) = sin 4 x 2
2
6
Academic Services, Core Education
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MATH SELF-DIAGNOSTIC TEST
27.
28.
x
y
The fraction
is the same as :
z
xz
a.
y
x
b.
yz
c.
none of the above
The fraction
a.
b.
c.
x
is the same as :
y
z
xz
y
xy
z
none of the above
29.
Circle the expression which is true:
4x2 + 6 y
a. 4 x 2 + 6 y + 5 x −3 = 3
5x
4 x5 + 6 x3 y + 5
−3
2
b. 4 x + 6 y + 5 x =
x3
4x2 + 6 y + 5
c. 4 x 2 + 6 y + 5 x −3 = 3
x
d. none of the above
30.
The y intercept of the graph represented by 4 x − 5 y + 8 =
0 is
a.
b.
c.
d.
e.
7
( 0,1.6 )
( 0, −2 )
( 0, 2 )
(1.6, 0 )
( 2, 0 )
Academic Services, Core Education
© 2016, Southern Alberta Institute of Technology
MATH SELF-DIAGNOSTIC TEST
31.
The expression
a.
b.
c.
d.
8
3x5 y 2
when simplified is:
2 x −2 y 4
6x3
y2
3x 7
2 y2
3x3
2 y2
2 y2
3x3
Academic Services, Core Education
© 2016, Southern Alberta Institute of Technology
MATH SELF-DIAGNOSTIC TEST
The following questions are based on the graphs shown.
Please examine the graphs carefully before answering the questions.
9
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MATH SELF-DIAGNOSTIC TEST
10
Academic Services, Core Education
© 2016, Southern Alberta Institute of Technology
MATH SELF-DIAGNOSTIC TEST
32.
33.
The graph of y =
x is represented by
a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4
e.
Graph 5
f.
Graph 6
g.
Graph 7
h.
Graph 8
The graph of y = x is represented by
11
a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4
e.
Graph 5
f.
Graph 6
g.
Graph 7
h.
Graph 8
Academic Services, Core Education
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MATH SELF-DIAGNOSTIC TEST
34.
35.
The graph of y = x 2 is represented by
a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4
e.
Graph 5
f.
Graph 6
g.
Graph 7
h.
Graph 8
Solve for x the equation
a.
2x2
( x − 1) x =
x=
0
−2 and x =
b. =
x 1=
and x 0
12
c.
x=
−3 and x =
−1
d.
x=
−1 and x =
0
e.
x=
−1 and x =
1
Academic Services, Core Education
© 2016, Southern Alberta Institute of Technology
MATH SELF-DIAGNOSTIC TEST
Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
False
False
False
A
True
False
False
False
True
False
True
D
False
False
A
D
A
D
True
B
D
D
D
D
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
False
C
B
A
B
A
B
G
A
B
D
If you get less than 25 out of 35 correct answers, you might find refreshing your math skills helpful
before starting your program at SAIT. To find out more about how to refresh your math skills please
contact:
Kelly Goss
Academic Chair, Math and Engineering Sciences
Core Education
(Office) 403.210.4046
[email protected]
13
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© 2016, Southern Alberta Institute of Technology