compass practice test g
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COMPASS Practice Test G. Algebra This 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. ¡ A. 2X + Y = -12 ¡ B. 2X = -6 ¡ C. 2X - 3Y = 12 - PowerPoint PPT PresentationTRANSCRIPT
COMPASSPractice Test G
AlgebraThis 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.
A. 2X + Y = -12
B. 2X = -6
C. 2X - 3Y = 12
D. 2Y + 3X = 12
E. -3X + Y = -8
G1. Which equation best describes the data in this table?
X -3 0 3Y -6 -4 -2
One way to get the answer would beto plug each ordered pair into each equation
until you found the one equation that all of the ordered pairs work with.
G1 Which equation best describes the data in this table?
X -3 0 3Y -6 -4 -2
Calculate the slope
Plug into Point Slope
2 ( 4)
3 0m
2
3
1 1( )y y m x x 2
( 4) ( 0)3
y x
24
3y x
3 12 2y x
2 3 12x y
2 3 12x y Answer C
Write in standard
form.
G2 For all x, 2
2
186 ?
4x
x
A. 9
B. 3
C. 5
D. 7
E. 4
2
186
4x
218 6 4x
218 6 4
6 6
x
23 4x
29 4x 4 4
25 x
22 23 4x
Answer C
G3
18 32
2 3
Answer E
18 32
2 3
9(2) 16(2)
2 3
3 2 4 2
2 3
(3)3 2 (2)4 2
(3)2 (2)3 9 2 8 2
6 6 17 2
6
G4 For all
A.
B.
C.
D.
E.
2
2
10a
ab b
5( )
2
a b
b
2
5( )
b
a b
5
2( )
b
a b
2
210
ab b
a
5
, 0,2
aba b ba
a b
G5 Which of these equations defines a line that is parallel to the line given by the equation y = -0.5x + 5?
A.
B.
C.
D.
E.
15
2y x
12
5y x
21
5y x
17
2y x
12
5y x
G5 Which of these equations defines a line that is parallel to the line given by the equation y = -0.5x + 5?
0.5 5y x
1
10.5
2m
1. Identify the slope of
the line.
2. Find the equation of
the line with the
same slope.
Answer D
So which equation has a slope of -0.5?
17
2y x
G6 In the standard (x, y ) plane, what is the distance
between and ?
A.
B.
C.
D.
E.
6
9
3 3
27
9 9 3
3 3, 1 6 3, 2
G6 In the standard (x, y ) plane, what is the distance
between and ? 3 3, 1 6 3, 2
Use the distance formula. 2 2
2 1 2 1d x x y y
2 2
6 3 3 3 2 ( 1)d 2 2
3 3 3
9 (3) 9 27 9 36
Answer A 6
G7 What is the solution of the system of equations
below?
A.
B.
C.
D.
E.
3 , 2a a
4, 4
3 , 2a a
4, 4
2, 0
2 7
3 2 5
x y a
x y a
G7 What is the solution of the system of equations
below?
2 7
3 2 5
x y a
x y a
4 12x a
4 12
4 4
x a
3x a
2 7x y a 3 3a a
2 4y a
2 4
2 2
y a
2y a(3 , 2 )a a
Answer A
(3 )a
G10 What is the value of k when2 24
2?12
x kxx
x
Answer C
2 242
12
x kxx
x
2 24 2 12x kx x x 2 224 12 2 24x kx x x x 2 224 14 24x kx x x
2 224 24x x
14kx x
14kx x 14kx x
x x
14k