compass algebra practice test b this practice test is 10 items long. record your responses on a...
Post on 22-Dec-2015
217 views
TRANSCRIPT
COMPASS AlgebraPractice Test B
• 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.
B1. Which of these is the product of (x + 2y) and (2x – 3y) ?
A. 2x2 – 7xy + 6y2
B. 2x2 + xy – 6y2
C. 2x2 + 7xy + 6y2
D. 2x2 – xy – 6y2
E. 2x2 + 7xy – 6y2
B2. For all and ,
A.
B.
C.
D.
E.
oa 0b ?1
4
ab
a
ba 24
ba 24
1
b
4
a
ab
4
4
b
B3. This is a graph of which equation?
A.
B.
C.
D.
E.
63
2 xy
y x 3
26
63
2 xy
62
3 xy
62
3 xy
8
6
4
2
-2
5
B4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ?
A. -12
B. 10
C. -4
D. 4
E. 12
A.
B.
C.
D.
E.
B5. In the Cartesian plane what is the distance between the points and ?)132,4( )13,2(
136
139
75
49
7
A.
B.
C. -375
D.
E. -125
B6. Simplify: 2
3
25
15
1
75
1
125
1
B7. What is the distance from point A to point B?A. 8
B. 34
C.
D.
E.
22
34
75
2
-2A
B
B8. For all x ≠ 0 and y ≠ 0,A.
B.
C.
D.
E.
22
1
yx
8
10
y
x
22 yx
10
8
x
y
4
5
y
x56
34
yx
yx
B9. For all x, y, and z, (x3y2z)2
B. x6y4z2
C. x9y4z2
D. x5y4z3
E. 2x3y2z
B10. If and , then A. 45
B. 64
C. 30
D. 9
E. 15
1252 2 xxy 3x
?y
Answers Algebra Practice Test B
1. B2. A3. D 4. D 5. E
6. D7. D8. B 9. B 10.A
B1. Which of these is the product of (x + 2y) and (2x – 3y) ?
A. 2x2 – 7xy + 6y2
B. 2x2 + xy – 6y2
C. 2x2 + 7xy + 6y2
D. 2x2 – xy – 6y2
E. 2x2 + 7xy – 6y2
)32)(2( yxyx
22x xy3 xy4 26y22 62 yxyx
B2. For all and ,
A.
B.
C.
D.
E.
oa 0b ?1
4
ab
a
ba 24
ba 24
1
b
4
a
ab
4
4
b
ab
a1
4
aba
14
11
4 aba
1
4 2baba24
Multiply by the reciprocal of the divisor
B3. This is a graph of which equation?
A.
B.
C.
D.
E.
63
2 xy
y x 3
26
63
2 xy
62
3 xy
62
3 xy
8
6
4
2
-2
5
Recall y = mx +b This line has a negative, downward slope. This eliminates B and C.
The y-intercept is +6This eliminates E.
The slope is down 3 over 2. This eliminates A.
B4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ?
A. -12
B. 10
C. -4
D. 4
E. 12
2)22(2)2(3 xx
24463 xx22 x22 4 x
4x
A.
B.
C.
D.
E.
B5. In the Cartesian plane what is the distance between the points and ?)132,4( )13,2(
136
139
75
49
7
212
212 )()( yyxxd
Recall the distance formula.
22 )13213())4()2(( d
22 )13()6( d 1336
49d 7
A.
B.
C. -375
D.
E. -125
B6. Simplify: 2
3
25
15
1
75
1
125
1
2
3
25
Negative ExponentTake the reciprocal.
23
25
1 32 25
1
35
1
125
1
Rewrite rational exponent with radical notation
Simplify
B7. What is the distance from point A to point B?A. 8
B. 34
C.
D.
E.
22
34
75
2
-2A
B
5
3
c
Use the Pythagorean Theorem
222 cba 222 53 c2259 c234 c
c34
B8. For all x ≠ 0 and y ≠ 0,A.
B.
C.
D.
E.
22
1
yx
8
10
y
x
22 yx
10
8
x
y
4
5
y
x56
34
yx
yx
Let each negative exponent cross the division bar and it becomes positive.
56
34
yx
yx46
35
xx
yy 10
8
x
y
B9. For all x, y, and z, (x3y2z)2
(x3y2z)2
(x3y2z)(x3y2z)When multiplying like bases,
add the exponents.
x3 + 3 y2 + 2 z1 + 1
x6 y 4 z 2
o A. x5y4z2
o B. x6y4z2
o C. x9y4z2
o D. x5y4z3
o E. 2x3y2z
B10. If and , then A. 45
B. 64
C. 30
D. 9
E. 15
1252 2 xxy 3x
?y1252 2 xxy
12)3(5)3(2 2 y12)3(5)9(2 y
121518 y45y