Algebra Review
1.
·
.
Evaluate
the eYnression
.
'•"1"
A)
_.!_
2
B)
_1 7
3a+2b
2
·
.
when a = -3 and b =-4.
2
C).!_
2
D)
2.
17
2
3+5•6-4
Simplify:
A) 17
B) 29
C) 16
.
3.
D) 30
6-2 • 2 + 25
Simplify:
A) 40
B) 18
C) 34
D) 12
4.
3x-Y ifx = 2,y = 8, and z= 2.
6z-x
Evaluate:
A)
1
7
-
1
B)
C)
D)
CPT
·
1
5
7
-
1
-
Review
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5
4/17/01
5.
14-30
Sinplify:
A)
B)
2(-4)
-2
2
11
C)
2
11
D)
2
·Use 1he distributive property to simplify.
6.
-3:x-10)+x
A)
-4x+30
B) -4x-30
C) -2x+30
D) -2x-30
7.
8.
Simplify:
8y- 2 3(y -4)
A) lly-6
B) 5y-6
C) Sy- 14
D) 5y + 10
'-
.
CPT
Write the
Review
fraction in lowesttenns:
4/17/01
2
9.
3(x+1) =-6
Solve for x:
A) - 2
B) -3
C) 1
7_
D)
3
Addthepolynomials:b
10.
2a+3b+5a-1h
A) 7a-4b
B) 1a+4b
C) 3ab
D) 7a-10b
·
Subtractthepolynomials:
11.
A) 6x2 -2x+9
B) 6x2 - 2x +13
C) 6x2 -6x+9
D) 6x2 -6x+13
(x+ 2)(x2 -2x+4)=
A) x3 +8
B) x3 +4x2 -8x+8
C) x3 -4x2 +8x+8
D) x3 +8x+8
12.
·-
13.
·J • ·
"·
·.,.,.
_,..•.
• A:
<
' •'
• ,-,:-:·.
,. '
...
• • ·-�··· •. ".. �
?-'·"''
�
<• "
' ·'••• ,;
1he difference of twice a number and six is four timesthe nU11lber.
equation to solve forthe number.
A)
B)
C)
D)
Find an
2x-6 =4
2x-6 = 4x
2x+6 =4x
2x-6 =x+4
1 4. Expand:
( 2x -3Y
A) 4x2 �9
B) 4x2 +9
C) 2x2 -12x+9
D) 4x2 -,12x+9
CPT Review 4117/01
3
,.
15.
Which of the following numbers is the smallest?
A) --3
4
B)-�
2
C) -1
D)
2.
3
--
16. Which ofthe following is the largest?
·A) \ 5-�
B) \ 2-�
C) \-2-5\
D) \ 5-2\ +\ 2-5\
17. Solve: 3(x-5 )�x-8
A) x�-7
2
2
B) x�7
C) x��1
D) x�-1
18. A flower-bed is in the shape of a triangle with one side twice the length ofthe
shortest side and the third side 15feet longer than the shortest side. If the perimeter
is 10
0 feet and if x represents the length of the shortest side, find an equation to
solve for the lengths of the three sides.
A) x+2x+x+15=100
B) x+15=2x
C) x+15+2x=100
D) x+2x=x+115
19.
If John
has $50 more money than Mary and you choose to represent John's amount
ofmoney as X how should you represent Mary's amount of money in terms ofX?
A) X+$50
. B) X- $50
. C) $50-X
D) $SOX
CPT Review 4/17/01
4
2x(3x2 -Sx-3)
Multiply:
A) 6x3 -Sx2 -6x
20:
6x3 -Sx-3
6x3 -10x2 -3x
6.:e -10x2 -6x
B)
C)
D)
21.
14m 2 - 28m8 + 1m
1m
Divide:
A)
B)
C)
·
D)
2m-28m8 +1m
2m-4m7 +1
2m-4m7
2m2-4m'+m
22. FactOr completely:
One factor is:
A) 4x4
3x+1
x-1
3x2 -Sx+l
B)
C)
D)
23. Factor completely:
One factor is:
A) 6x
B)
C)
D)
x2
x-6
x.-12
x+3
24. Factor completely:
One factor is:
A) 1x
B)
C)
D)
25.
- 12x+36
1x2 +14x-21
x+l
x-3
x+3
Solve: x2 -3x-10
One solutiop. is:
A) x=10
x=1
B)
C) x=-2
D) x=2
CPT Review
4/17/01
=
0
5
26. Solve: 2x2 -Sx=O
The solutions are:
A) x=O
B) x=O, x=5
C) x=O, x=-5 .
5
D) x=O' x =2
. 3x2 -12
27. Simplify and reduce:
9x+18
x-i
A)
--
6
B)
C)
2
3x-3
x+2
3
x- 2
3
D)
28. Given 1he equation -2x+ 3y =12, find the missing value in 1he ordered pair (-3,__)
A) . .,..()
B) -2
C) 6
D) 2
29.
What are 1he
. A)
coordinates of the x-intercept in 1he graph below?
y
(-1,2)
(0,-2)
C) (-�0)
D) (0,1)
B)
CPT Review 4/17/01
6
30.
Graph the line 3x +y =6.
A)
B)
C)
D}
CPT Review 4/17/01
7
31. Solve and simplify if possible:
x2
9 =
x-3 x-3
· · -
-
·
-
.
X
3
A)--­
-3 X
·B) -1
C) x+J
D) x-3
·
·
32. Solve the following system of equations for they-value: x+2y=1
2x +2y =13 .
.
1
A) y=
2
B) y=6
C) y= 5
l3
D) y=
4
.
2
5
33. -·=
6a 3a2
-
·
3
A) _ _
6 a2
.B) 2_
3a
1
C) _ _2
6a
a�4
D) 5 2
6a
. 9b 2 -3b
34.
3b
---
A) 9b2 -1
B) 3b-1
C) b-1
D) 9b
CPT Review 4/17/01
8
35 . The DoBee.Com Corporation has 5 mote than three times aS many female as male
supervisors. lf"x" representsthe number of male supervisors write an expression
represent the total number of female supervisors in tenns of ''X'.
that would
A) x+S
3x+S
C) 4x+S
D) 9x
B)
36.
·
Which of the
following is not an equivalent statement?
needs enough fencing to enclose a rectangular garden with a perimeter of
. 37. Charles
be
the equation that
garden is to be 30 feet,
140 feet. If the
of
width
his
used to solve for the length of the garden.
A)
B)
C)
D)
write
can
x+30= 140
2x+30= 140
2x+6 0=140
140-x=6 0
. 38. which one of the following ordered pairs is NOT a solution forthe equation:
3x+y= 12?
A) (12 ,10 1)2
B) (6�2)
C) (12, -24)
D) (2,6)
. 39. For what value(s) of xwill each expression be undefined?
x2+4x+4
x2+x-6
.:,_____
A) 6
-2
C) -2 and 3
D) 2 and -3
.B)
CPT
Review 4/17/01
9
40
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n
'- expt:ess1ons1
........
• a�
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11owmg
nn.:ch
1u1
o.fbo..
�wr
IS
101
vv m ofthe �
.
�
(x+5)
(x-5)
C) (x-1)
D) (x-3)
A)
· B)
2
X
+4X -
5
2x2 +3x-5
SOLUTIONS TO ALGEBRA REVIEW
1
B
21
B
3
c
23
B
5
B
2
4
B
22
A
6
c
8
c
7
9
D
B
10
A
12
A
11
13
14
15
A
B
D
B
16
c
18
A
17
19
20
A
B
D
D
24
D
26
D
25
27
28
c
D
D
29
c
31
c
30
32
33
34
35
36
37
38
39
40
c
A
D
B
B
c
c
B
D
c