compass practice test 14 a. b. c. 1. what is the value of when x = -5? d. -3 e. 3
TRANSCRIPT
COMPASSPractice Test 14
A.
B.
C.
1. What is the value of when x = -5?
D. -3
E. 3
2
2422
x
xx
8
9
8
11
3
11
1. What is the value of when x = -5?
2)5(
24)5(2)5( 2
3
241025
3
2415
3
9
3
Answer E
2
2422
x
xx
2. Simplify6
35
3
50
A.
B.
C.
D.
E.
2
5
3
25
2
65
6
535
3
210
6
35210
2. Simplify6
35
3
50
6
35
3
50
6
35
3
25
6
35
3)2(
25)2(
6
35
6
210
6
35210 Answer E
3. In the figure below what is the distance between point A and B?
A. 11
B. 10
C.
D. 9
E.
A
B
65
11
3. In the figure below what is the distance between point A and B?
A
B
65
Use the Pythagorean Theorem.
4
7
222 cba 222 74 c24916 c265 c
c65
A. 9
B. 10
C.
D. 14
E.
4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)?
14
11
212
212 )()( yyxxd
Use the distance formula.
22 )2)6(())5(1( d
6436)8()6( 22 d
10100 d
4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)?
If you do not like the distance formula you can use the Pythagorean Theorem.
222 cba 6
8
222 86 c26436 c
2100 cc10
10
5. 27 -2/3 = ?
A. -18
B.
C. 9
18
1
D.
E.
9
1
9
1
32
32
27
127
23 27
1
23
1
9
1
6. The parabola below is a graph of which equation?
(-2, 4)
(-4, 0) (0, 0)
A. y = (x - 2)2 + 4
B. y = (x + 2)2 + 4
C. y = -(x - 2)2 + 4
D. y = -(x + 2)2 + 4
E. y = x2 + 4x + 8
Plug (-2, 4) into choice Cy = -(x - 2)2 + 44 = -(-2 - 2)2 + 4 4 = -(-4)2 + 44 = -16 + 44 = -12False
6. The parabola below is a graph of which equation?
(-2, 4)
(-4, 0) (0, 0)
Because the parabola points down we know that the x2 term willbe negative. (Negative Frown Face)
C. y = -(x - 2)2 + 4
D. y = -(x + 2)2 + 4Plug (-2, 4) into choice Dy = -(x + 2)2 + 44 = -(-2 + 2)2 + 4 4 = -(0)2 + 44 = -0 + 44 = 4True
7. The solution of the equation below falls between what two integers?2x + 8 = 7x + 20
A. -4 and -3
B. -3 and -2
C. -2 and -1
D. 1 and 2
E. 2 and 3
20782 xx
82072 xx
125 x
5
12
5
5
x
4.25
12
x
8. What is the solution of the system of equations below?
ayx
ayx
1442
43
A. (3a, 2a)
B. (-3a, 2a)
C. (15a, 11a)
D. (15a, -11a)
E. (3a, -2a)
ax 155 5
15
5
5 ax
ayx 4)(3 a3
aya 49
ay 84 ay 2
ax 3
3
2
4
D.
E.
9. What is the slope of the line in the standard coordinate plane determined by the equation 2x - 3y = 12?
A.
B.
C.
2
3
2
3
3
2
1232 yx
1223 xy3
12
3
2
3
3
xy
43
2
xy
3
2m
10. For all x and y, (x + 2y)2 - 4y(x + y) = ?
A. x2
B. x2 - 4xy
C. x2 - 2xy
D. x2 + 8y2
E. (x + 4y)(x - 4y)
(x + 2y)2 - 4y(x + y)
=(x + 2y)(x +2y) - 4xy - 4y2
= x2 + 4xy +4y2 - 4xy - 4y2
= x2