COMPASS Algebra Practice Test 3 This practice test is 10 items long. Record your responses on a...
-
Upload
abraham-newman -
Category
Documents
-
view
216 -
download
0
Transcript of COMPASS Algebra Practice Test 3 This practice test is 10 items long. Record your responses on a...
![Page 1: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/1.jpg)
COMPASS AlgebraPractice Test 3
• 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 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/2.jpg)
1. If x = -2 and y = -3, what is the value of the expression 4x3 - 2xy ?
A. 36
B. 20
C. -20
D. -36
E. -44
![Page 3: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/3.jpg)
2. Which of the following expressions represents the product of four more than twice x and six less than x? A. x2 – 4x – 12
B. 2(x2 – 4x – 12)
C. 8x2 – 48x
D. 2x2 +16x + 24
E. 2x2 – 16x – 24
![Page 4: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/4.jpg)
3. A student earned scores of 85, 76, and 78 on three of four tests. What must the student score on the fourth test to have an average (arithmetic mean) of exactly 80?
A. 79
B. 80
C. 81
D. 82
E. 83
![Page 5: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/5.jpg)
D.
E.
A.
B.
C.
4. Which of the following is an equation of the line that contains the points (2, 3) and (4 , 6)?
xy2
3 xy
3
2
xy2
3 6
3
2 xy
62
3 xy
![Page 6: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/6.jpg)
5. For all x ±6, ?36
302
2
x
xx
A.
B.
C.
D.
E.
6
5
x
x
6
6
x
x
6
5
x
x
6
5
x
x
6
5
x
x
![Page 7: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/7.jpg)
6. Each circle has a diameter of 6. What is the location of point B the center of the bottom circle.?
A. (6, -15)
B. (6, -18)
C. (3, -15)
D. (3, -18)
E. (1, -3)
B (3, -15)B
![Page 8: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/8.jpg)
7. For all x, (x2 + 3x + 9)(x - 3) is
A. x3 + 3x2 - x - 3
B. x2 + 2x - 3
C. 3x - 3
D. x3 - 27
E. x3 - x2 + 3x - 3
![Page 9: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/9.jpg)
8. If A ° B = 2A + 3B, find 4 ° 5
A. 20
B. 23
C. 17
D. 9
E. 5
![Page 10: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/10.jpg)
9. What is the perimeter of ABC?
A. 8
B. 10
C. 14
D. 24
E. 28
B C
6
4
2
-2
-4
-5 5
C
B
A
![Page 11: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/11.jpg)
10. What is the value of 642/3?
A. 4
B. 16
C. 21.3
D. 96
E.
3
128
![Page 12: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/12.jpg)
Answers Algebra Practice Test 3
1. E2. B3. C4. B5. D
6. C7. D8. B9. D10.B
![Page 13: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/13.jpg)
1. If x = -2 and y = -3, what is the value of the expression 4x3 – 2xy ?
A. 36
B. 20
C. -20
D. -36
E. -44
4x3 – 2xy
4(-2)3 – 2(-2)(-3) =
4(-8) – 2(-2)(-3) =
-32 – 2(6) =
-32 – 12 =
-32 + (-12) = -44
Answer E
![Page 14: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/14.jpg)
2. Which of the following expressions represents the product of four more than twice x and six less than x? A. x2 – 4x – 12
B. 2(x2 – 4x – 12)
C. 8x2 – 48x
D. 2x2 +16x + 24
E. 2x2 – 16x – 24
(2x + 4)(x – 6)
2x2 – 12x + 4x – 24
2x2 – 8x – 24
Factor the common 2
2(x2 – 4x – 12)
Answer B
![Page 15: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/15.jpg)
3. A student earned scores of 85, 76, and 78 on three of four tests. What must the student score on the fourth test to have an average (arithmetic mean) of exactly 80?
A. 79
B. 80
C. 81
D. 82
E. 83
804
787685
x
4804
7876854
x
320787685 x
320239 x239320 x 81
Answer C
![Page 16: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/16.jpg)
D.
E.
A.
B.
C.
4. Which of the following is an equation of the line that contains the points (2, 3) and (4 , 6)?
xy2
3 xy
3
2
xy2
3 6
3
2 xy
62
3 xy
bmxy
If we can find m and b then we will be able to select the correct response.
![Page 17: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/17.jpg)
4. Which of the following is an equation of the line that contains the points (2, 3) and (4 , 6)?
12
12
xx
yym
Find slope
24
36
m
2
3m
Now find b
bmxy
b
2
2
3)3(
b33
b0
02
3 xy
Answer B
bmxy If we can find m and b then we will be able to select the correct response.
bmxy
xy2
3
![Page 18: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/18.jpg)
4. Which of the following is an equation of the line that contains the points (2, 3) and (4 , 6)?
A.
B.
xy2
3
xy2
3
)2(2
3)3(
Another way to work this problem is to plug the points into each equation.
Try A
3)3(
Try B)2(
2
3)3(
33 True
To be the correct equation it must also work for the other given point.
)4(2
3)6(
66 True
False
Answer B
![Page 19: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/19.jpg)
5. For all x ±6, ?36
302
2
x
xx
A.
B.
C.
D.
E.
6
5
x
x
6
6
x
x
6
5
x
x
6
5
x
x
6
5
x
x
![Page 20: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/20.jpg)
5. For all x ±6, ?36
302
2
x
xx
)6)(6(
)5)(6(
xx
xx
36
302
2
x
xx
)6(
)5(
x
x
Pay close attention to the signs. Every possibility is covered in the distracters.
AnswerD
Step 1. Factor
Step 2. Cancel
![Page 21: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/21.jpg)
6. Each circle has a diameter of 6. What is the location of point B the center of the bottom circle.?
A. (6, -15)
B. (6, -18)
C. (3, -15)
D. (3, -18)
E. (1, -3)
B (3, -15)B
6
6
3
3
-15
(3, -15)
![Page 22: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/22.jpg)
7. For all x, (x2 + 3x + 9)(x - 3) is
A. x3 + 3x2 - x - 3
B. x2 + 2x - 3
C. 3x - 3
D. x3 - 27
E. x3 - x2 + 3x - 3
![Page 23: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/23.jpg)
(x2 + 3x + 9)(x - 3) =
x3 + 3x2 + 9x
-3x2 - 9x - 27
7. For all x, (x2 + 3x + 9)(x - 3) is
x3 - 27 Answer D
1st Distribute the x through the trinomial.
2nd Distribute the -3 through the trinomial.
![Page 24: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/24.jpg)
8. If A ° B = 2A + 3B, find 4 ° 5
A. 20
B. 23
C. 17
D. 9
E. 5
Substitute
2A + 3B =
2(4) + 3(5) =
8 + 15 = 23
Answer B
![Page 25: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/25.jpg)
9. What is the perimeter of ABC?
A. 8
B. 10
C. 14
D. 24
E. 28
B C
6
4
2
-2
-4
-5 5
C
B
A
![Page 26: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/26.jpg)
9. What is the perimeter of ABC?
B C
6
4
2
-2
-4
-5 5
C
B
ANow use the PythagoreanTheorem to find the length of the hypotenuse.
Count the blocks tofind the lengths of the legs.AC = 8 AB = 6
222 cba 222 68 c23664 c
2100 cc10
Add the three sidesto find the perimeter.
8 + 6 + 10 = 24
8
610
Answer D
![Page 27: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/27.jpg)
9. What is the perimeter of ABC?
• Another way to find the
distance from B to C is to
use the distance formula.
• First identify the coordinates.
C (-4, 4) and B (4, -2)
B C
6
4
2
-2
-4
-5 5
C
B
A
212
212 )()( yyxxD
22 ))4()2(())4(4( D
22 )6()8( D 3664 100 10
10
8
6
![Page 28: COMPASS Algebra Practice Test 3 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.fdocuments.in/reader035/viewer/2022062409/5697bfa91a28abf838c99f0c/html5/thumbnails/28.jpg)
10. What is the value of 642/3?
A. 4
B. 16
C. 21.3
D. 96
E.
3
128
233
2
6464
Note that the denominatorbecomes the index of the radical
232
3 44464
164 2