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COMPASS AlgebraPractice Test 1
• This practice test is 10 items long.• Record your responses on a sheet of
paper. • The correct answers are on the slide
after the last question. • Complete solutions follow the
answer slide.• Click the mouse or use the spacebar
to advance to the next question.
1. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?
A. 14
B. 46
C. 54
D. -46
E. -54
2. What are the solutions to the quadratic equation x2 – 2x = 48?
A. -12, -4
B. -8, -6
C. 6, 8
D. -6, 8
E. -8, 6
D.
E.
A.
B.
C.
3. Rationalize the denominator.3
4
3
2
3
32
9
2
9
6
4
D.
E.
A.
B.
C.
4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?
35 xy 52 xy
33 xy 32 xy
54
3 xy
5. For all x ±3,
A.
B.
C.
D.
E.
3
4
x
x
3
4
x
x
3
4
x
x
3
4
x
x
9
127
x
?9
1272
2
x
xx
6. Which is the complete factorization of A.
B.
C.
D.
E.
(3, -15)
?1255 3 yy )255( 2 yy
)25(5 2 yy
)5)(5(5 yyy
2)5(5 yy
2)5(5 yy
7. What is the product ofand A.
B.
C.
D.
E.
)5524(
5826
33
101783
1074
101340
?)532(
8. If then
A.
B.
C.
D.
E.
,82
13 x ?x
2
9
9
2
7
22
16
7
2
111
9. If, what is the value of the expression
A. 12
B. 14
C. 17
D. 22
E. 36
3
1x
?1569 2 xx
10. For all b 0,
A. 18b
B. 6b
C. 32b2 + 48b
D. 2b2 + 4b
E. 2b + 4
...4
168 2
b
bb
Answers Algebra Practice Test 1
1. A2. D3. B4. E5. D
6. A7. C8. C9. B10.E
1. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?
A. 14
B. 46
C. 54
D. -46
E. -54
2x3 – 3xy
2(-2)3 – 3(-2)(5)
2(-8) – 3(-10)
-16 – -30
-16+30 = 14
2. What are the solutions to the quadratic equation x2 – 2x = 48? A. -12, -4
B. -8, -6
C. 6, 8
D. -6, 8
E. -8, 6
Set the equation equal to zero.
x2 – 2x = 48
x2 – 2x – 48 = 0
Factor
(x + 6)(x – 8) = 0
Write a solution set.
x = {-6 , 8}
D.
E.
A.
B.
C.
3. Rationalize the denominator.3
4
3
2
3
32
9
2
9
6
4
3. Rationalize the denominator.3
4
First simplify the expression.
3
4
3
2
Rationalize the denominator means to remove the radical from
the bottom of the fraction
3
3
Multiply the top and bottom by a number that will make the
denominator a perfect square.
9
32
3
32
This is a match for B
Then simplify the denominator to get rid of the radical.
D.
E.
A.
B.
C.
4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?
35 xy 52 xy
33 xy 32 xy
54
3 xy
4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?
12
12
xx
yym
First calculate the slope m.
)1(2
17
3
6 2
Now find b
bmxy
Use Slope Intercept
bmxy b )2(27
b4744 b3
Now put m and b together to write the equation.
32 xy
This is a match for E
5. For all x ±3,
A.
B.
C.
D.
E.
3
4
x
x
3
4
x
x
3
4
x
x
3
4
x
x
9
127
x
?9
1272
2
x
xx
5. For all x ±3, ?9
1272
2
x
xx
9
1272
2
x
xx
Rational Expression
Factor
)3)(3(
)4)(3(
xx
xx
Cancel
)3(
)4(
x
x
This is a match for D
6. Which is the complete factorization of
5y3 – 125y
Factor out the common 5y
5y(y2 – 25)
Difference of squares
5y(y + 5)(y – 5)
?1255 3 yy )255( 2 yy
)25(5 2 yy
)5)(5(5 yyy
2)5(5 yy
2)5(5 yy
A.
B.
C.
D.
E.
7. What is the product ofand A.
B.
C.
D.
E.
)5524(
5826
33
101783
1074
101340
?)532(
)532)(5524(
44 1012 105 2515
)2(4 1017 )5(15
7510178
101783
8. If then
A.
B.
C.
D.
E.
,82
13 x ?x
2
9
9
2
7
22
16
7
2
111
8. If then,82
13 x ?x
First convert 3½ to an improper
fraction
2
7
2
1
2
6
2
13
82
7x
7
2Multiply by the reciprocal
7
2
7
16x
7
22
7
22
7
2
7
14
7
16x
Convert 16/7 to a mixed number
This is a match for C
9. If, what is the value of the expression
A. 12
B. 14
C. 17
D. 22
E. 36
3
1x
?1569 2 xx
153
16
3
19
2
1529
19
1521 14
10. For all b 0,
A. 18b
B. 6b
C. 32b2 + 48b
D. 2b2 + 4b
E. 2b + 4
...4
168 2
b
bb
b
bb
b
bb
4
)42(4
4
168 2
Rational Expression
Factor
Cancel
= 2b + 4
