compass algebra practice test 1 this practice test is 10 items long. record your responses on a...
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![Page 1: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/1.jpg)
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.
![Page 2: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/2.jpg)
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
![Page 3: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/3.jpg)
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
![Page 4: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/4.jpg)
D.
E.
A.
B.
C.
3. Rationalize the denominator.3
4
3
2
3
32
9
2
9
6
4
![Page 5: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/5.jpg)
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
![Page 6: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/6.jpg)
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
![Page 7: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/7.jpg)
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
![Page 8: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/8.jpg)
7. What is the product ofand A.
B.
C.
D.
E.
)5524(
5826
33
101783
1074
101340
?)532(
![Page 9: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/9.jpg)
8. If then
A.
B.
C.
D.
E.
,82
13 x ?x
2
9
9
2
7
22
16
7
2
111
![Page 10: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/10.jpg)
9. If, what is the value of the expression
A. 12
B. 14
C. 17
D. 22
E. 36
3
1x
?1569 2 xx
![Page 11: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/11.jpg)
10. For all b 0,
A. 18b
B. 6b
C. 32b2 + 48b
D. 2b2 + 4b
E. 2b + 4
...4
168 2
b
bb
![Page 12: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/12.jpg)
Answers Algebra Practice Test 1
1. A2. D3. B4. E5. D
6. A7. C8. C9. B10.E
![Page 13: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/13.jpg)
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
![Page 14: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/14.jpg)
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}
![Page 15: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/15.jpg)
D.
E.
A.
B.
C.
3. Rationalize the denominator.3
4
3
2
3
32
9
2
9
6
4
![Page 16: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/16.jpg)
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.
![Page 17: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/17.jpg)
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
![Page 18: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/18.jpg)
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
![Page 19: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/19.jpg)
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
![Page 20: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/20.jpg)
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
![Page 21: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/21.jpg)
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.
![Page 22: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/22.jpg)
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
![Page 23: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/23.jpg)
8. If then
A.
B.
C.
D.
E.
,82
13 x ?x
2
9
9
2
7
22
16
7
2
111
![Page 24: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/24.jpg)
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
![Page 25: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/25.jpg)
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
![Page 26: COMPASS Algebra Practice 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](https://reader035.vdocument.in/reader035/viewer/2022070413/5697bfbb1a28abf838ca0ef4/html5/thumbnails/26.jpg)
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