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COMPASS AlgebraPractice Test F
• 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.
A. Y = 4X - 7
B. Y = X - 6
C. Y = -2X + 5
D. Y = 4X + 3
E. Y = 3X + 5
F1. Which equation best describes the data in this table?
X 0 2 -2Y 5 1 9
F2 For all x, 2
2
205 ?
7x
x
A. 9
B. 3
C. 16
D. 7
E. 4
F3
A.
B.
C.
D.
E.
13 8
6
8
8 3 5 5
6
9 8
9
5 54
6
48 5 5?
3 6
F4 What is the slope of 3x + 2y = 6?
A.
B.
C.
D.
E.
3
2
3
2
3
3
2
3
2
F5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5?
A.
B.
C.
D.
E.
15
5y x
12
5y x
21
5y x
15
2y x
12
5y x
F6 In the standard (x, y ) plane, what is the distance
between and ?
A.
B.
C.
D.
E.
45
16
61
61
29
3 5, 0 6 5, 4
F7 What are the (x, y) coordinates of the point of
intersection of the lines determined by the equations
2x – 3y = 4 and y = x?
A.
B.
C.
D.
E.
4, 4
4, 4
4, 4
4, 4
2, 0
F8 If is a special operation defined by
(a b) = 3a – 2b and (6 x) = 8 then x = ?
A.
B.
C.
D.
E.
2
3
4
5
6
F9 12x2 + 11x – 36 is the product of (3x – 4) and
another polynomial. What is the other polynomial?
A.
B.
C.
D.
E.
9 4x
24x
24 9x
4 9x
4 9x
F10 416
81
A.
B.
C.
D.
E.
4
9
2
9
4
2
9
2
3
4
20.25
Answers Algebra Practice Test F
1. C2. A3. C4. E5. D
6. C7. B8. D9. E10. C
A. Y = 4X - 7
B. Y = X - 6
C. Y = -2X + 5
D. Y = 4X + 3
E. Y = 3X + 5
F1. Which equation best describes the data in this table?
X 0 2 -2Y 5 1 9
y mx b
Notice that all of the answers are in slope intercept form.
We just have to find m and b.
F1 Which equation best describes the data in this table?
Calculate the slope.
Find b.
5 1
0 2m
4
2
y mx b (0, 5)
Answer C
2
To find b, plug in a point.Use -2 for the slope.
( ) ( )( )y m x b 2 5y x 2 05
5 0 b
X 0 2 -2Y 5 1 9
b5
12
12
xx
yym
F2 For all x, 2
2
205 ?
7x
x
A. 9
B. 3
C. 16
D. 7
E. 4
2
205
7x
220 5 7x
220 5 7
5 5
x
24 7x
216 7x 7 7
29 x
22 24 7x
F3
A.
B.
C.
D.
E.
13 8
6
8
8 3 5 5
6
9 8
9
5 54
6
48 5 5?
3 6
F348 5 5
?3 6
48 5 5
3 6
Answer C
16(3) 5 5
3 6 4 3 5 5
3 6
(2)4 3 5 5
(2)3 6
8 3 5 5
6 6
8 3 5 5
6
Before addition the fractions must be rewritten with a common denominator. The LCD is 6.
F4 What is the slope of 3x + 2y = 6?
A.
B.
C.
D.
E.
3
2
3
2
3
3
2
3
2
y mx b
If we solve for y the number in front of the x is the slope.
F4 What is the slope of 3x + 2y = 6?
3 2 6x y Solve for y, then the coefficient of x is the slope.
3 3x x
2 3 6y x 2 3 6
2 2 2
y x
33
2
xy
Answer E
2
3m
F5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5?
A.
B.
C.
D.
E.
15
5y x
12
5y x
21
5y x
15
2y x
12
5y x
F5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5?
2 5y x
1
2
1m
Perpendicular
1. Identify the slope of
the line.
2. Change the sign.
3. Take the reciprocal. 2
1
2m
Answer D
F6. In the standard (x, y ) plane, what is the distance
between and ?
A.
B.
C.
D.
E.
45
16
61
61
29
3 5, 0 6 5, 4
2 2
2 1 2 1d x x y y
Use the distance formula.
F6 In the standard (x, y ) plane, what is the
distance between and ? 3 5, 0 6 5, 4
2 2
2 1 2 1d x x y y
2 2
6 5 3 5 4 0d 2 2
3 5 4
45 16 61
Answer C
)16()5(9
Use the distance formula.
F7 What are the (x, y) coordinates of the point of
intersection of the lines determined by the equations
2x – 3y = 4 and y = x?
A.
B.
C.
D.
E.
4, 4
4, 4
4, 4
4, 4
2, 0
Notice that x and y have to be the same
This eliminates choices C, D, and E.
F7 What are the (x, y) coordinates of the point of
intersection of the lines determined by the equations
2x – 3y = 4 and y = x?
2 3 4x y
y x
Solve this system by substitution.
2 3( ) 4x x
2 3 4x x 4x
4x
y x
( 4)y
( 4, 4)
Answer B
F8 If is a special operation defined by
(a b) = 3a – 2b and (6 x) = 8 then x = ?
A.
B.
C.
D.
E.
2
3
4
5
6
F8 If is a special operation defined by
(a b) = 3a – 2b and (6 x) = 8 then x = ?
( ) 3 2If a b a b (6 ) 8and x 3(6) 2( ) 8x
18 2( ) 8x 18 18
2 10x
5x
Answer D2 10
2 2
x
F9 12x2 + 11x – 36 is the product of (3x – 4) and
another polynomial. What is the other polynomial?
A.
B.
C.
D.
E.
9 4x
24x
24 9x
4 9x
4 9x
F9 12x2 + 11x – 36 is the product of (3x – 4)
and another polynomial. What is the other
polynomial?
212 11 36x x 3 4x
Answer E
212))(3( xx 36))(4(
x4
x4
9
9
F10 416
81
A.
B.
C.
D.
E.
4
9
2
9
4
2
9
2
3
4
20.25
42(2)(2)(2)
(3)(3)(3)(3)
2
3
