COMPASS Practice Test E Algebra Stuff This PowerPoint presentation will present 10 sample problems...
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Transcript of COMPASS Practice Test E Algebra Stuff This PowerPoint presentation will present 10 sample problems...
COMPASSPractice Test E
Algebra StuffThis PowerPoint presentation will present
10 sample problems with answers.
You can save this file to your computer and use it offline if you have PowerPoint
installed on your computer.
E3. 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
E3. 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.
E4. 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
E4. 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
E6. 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
E6. 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
E7. 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
E8. 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.
E9. 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
E10. 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