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COMPASS AlgebraPractice Test H
• 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.
H1. What are the solutions to the quadratic equation ?036152 xx
A. 3, 6
B. 6, 6
C. 3, 12
D. 4, 9
E. -4, -9
H2. If for all x and y, , then
A.
B.
C.
D.
E. undefined
xy 2
xy 2xy 2yx 2
?b02 ybx
H3. For all
A.
B.
C.
D.
E.
,4x ?4
1682
x
xx
4x
4x
8x
8x
20x
H4. What is the value of the expression when
A.
B.
C.
D.
E.
xxxx 8534 ?2x
4068
648
64
10756
6166
H5. If then
A. 0
B. 4
C. 9
D. 25
E. no solution
9554,1 xx
?x
H6. For all
A.
B.
C.
D.
E.
?2500and0 49 yxyx
7283 yx
yxyx 222 510
105 23 yx
xyx 105 24
35 23 yx
H7. Simplify
A.
B.
C.
D.
E.
3
2
5
b
a
5
8
b
a
6
15
b
a
8
128
b
a
2
53
b
a
3
2
3
5
b
a
H8. Simplify
A.
B.
C. 6
D.
E.
?3
32
2
32
324
3
3226
3
324
5
352
H9. If the ratio of 4 to b is 5 to 7 then b = ? A. 3
B.
C.
D. 16
E.
5
28
4
35
7
20
H10. Which equation best describes this graph? A.
B.
C.
D.
E.
6
4
2
-2
-5
(-1, 4)322 xxy
322 xxy
322 xxy
362 xxy
432 xxy
Answers Algebra Practice Test H
1. C2. A3. B4. A5. B
6. D7. B8. B9. B10. C
H1. What are the solutions to the quadratic equation ?036152 xx
A. 3, 6
B. 6, 6
C. 3, 12
D. 4, 9
E. -4, -9
Factor. You need two numbers that will multiply
to 36 and add to -15.
× = 36
1 36
2 18
3 12
4 9
6 6
+
37
2015
13
12
036152 xx
0)3)(12( xxNow use the zero factor property.
012 x12x
03 x3x
}12,3{x
Answer C
H2. If for all x and y, , then
A.
B.
C.
D.
E. undefined
xy 2
xy 2xy 2yx 2
?b02 ybx
Solve for b.
02 ybxAdd b to
both sides.
bb byx 2
Answer A
H3. For all
A.
B.
C.
D.
E.
,4x ?4
1682
x
xx
4x
4x
8x
8x
20x
Factor.
)4(
)4)(4(
4
1682
x
xx
x
xx
Cancel. )4( x
Answer B
H4. What is the value of the expression when
A.
B.
C.
D.
E.
xxxx 8534 ?2x
4068
648
64
10756
6166
)2(8)2(5)2(3)2(4
Substitute and simplify.
161068
)4(1068
4068
Answer A
H5. If then
A. 0
B. 4
C. 9
D. 25
E. no solution
9554,1 xx
?x Radical EquationFirst isolate the radical.
9554 xSubtract 4 from
both sides. 44 555 xSquare both sides to
get rid of the radical. 22555 x
2555 xSubtract 5 from
both sides.
55 205 xDivide by 5.
4xAnswer B
H6. For all
A.
B.
C.
D.
E.
?2500and0 49 yxyx
7283 yx
yxyx 222 510
105 23 yx
xyx 105 24
35 23 yx
Find the square root of x9.
9x xxxxxxxxx
Each pair of (xx) inside represents one x outside.
xxxxx
xx4Choice D is the only answer
that matches this result.
H7. Simplify
A.
B.
C.
D.
E.
3
2
5
b
a
5
8
b
a
6
15
b
a
8
128
b
a
2
53
b
a
3
2
3
5
b
a
When raising a power to a power multiply the exponents.
3
2
5
b
a 32
35
b
a
6
15
b
a
Answer B
H8. Simplify
A.
B.
C. 6
D.
E.
?3
32
2
32
324
3
3226
3
324
5
352
Simplify the radicals.
3
32
2
)2(16
3
32
2
243
32
1
22
The common denominator is 3
3
32
1
22
3
3
3
3226
Answer B
H9. If the ratio of 4 to b is 5 to 7 then b = ? A. 3
B.
C.
D. 16
E.
5
28
4
35
7
20
Write the proportion as two equal fractions.
7
54
b
Cross multiply. b5)7(4 b528
Divide by 5.
5
5
5
28 b
b5
28Answer B
H10. Which equation best describes this graph? A.
B.
C.
D.
E.
6
4
2
-2
-5
(-1, 4)322 xxy
322 xxy
322 xxy
362 xxy
432 xxy
The y-intercept of the graph is (0, 3).
This eliminates choices A and E.
The point (0, 3) works in B, C, and D.
H10. Which equation best describes this graph? A.
B.
C.
D.
E.
6
4
2
-2
-5
(-1, 4)322 xxy
322 xxy
322 xxy
362 xxy
432 xxy
Try the point (-1, 4) in B.
3)1(2)1(4 2 3214
04 Try the point (-1, 4) in D.
3)1(6)1(4 2 3614
84
This eliminates choice B.
This eliminates choice D.
H10. Which equation best describes this graph? A.
B.
C.
D.
E.
322 xxy
322 xxy
322 xxy
362 xxy
432 xxy
Try the point (-1, 4) in C.
3)1(2)1(4 2 3214
44
Answer C
