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Algebra 2
Algebra 1 Review
2x  3y  6 .
1.
Choose the ordered pair that is a solution of
A.
( 5, 1)
2.
Which point does not lie on the graph of 3 y  x  8 ?
A.
(2, 7/3)
3.
Which equation does the graph represent?
A.
x  2y  4
4.
Which point does not lie on the graph x  4 ?
A.
( -4, 0)
5.
The ordered pair (-1, 4) is a solution of _______________________.
A.
x4
6.
What is the formula to find the slope of a line?
A.
m
B.
( 0, 6)
C. (4, 3)
D.
(6, 2)
E. (3, 2)
D.
(4, 2)
E. (10, 1)
D.
 x  2y  4
E.
D.
(-4, -4)
E. (-4, 2)
1
2
x 2  x1
y 2  y1
B.
B.
B.
B.
B.
(0, 8/3)
x  2y  4
(-4, 1)
x 1
m
y 2  y1
x 2  x1
C. (1, 2)
C.  x  2 y  4
C. (4, -4)
C.
C.
y 1
m
y 2  y1
x 2  x1
D.
y  1
D.
m
x 2  x1
y 2  y1
E.
 x  2 y  4
y4
E.
m
y 2  x2
y1  x1
7.
What is the equation of the line shown?
A.
x  2
8.
A hot dog stand sells foot-long hot dogs for $2.50 and 6 inch hot dogs for $1.50. If the stand
makes $54 one day, which of the following model(s) the situation?
A.
2.50x 1.50 y  54
9.
Find the slope of the line passing through the points (-6, 7) and (2, 9).
A.
¼
10
A.
11
A.
12
A.
13
A.
B.
B.
B.
x2
2.50x  1.50 y  54
-2
C.
C.
y  2
y
5
x  36
3
C. 4
D.
D.
y2
y
5
x  36
3
E.
y0
E. B and D
D.
-4
E. -1/2
D.
negative
E. variable
D.
3
E. -2
D.
4/3
E. 5
D.
-6
E. -2/3
The slope of a horizontal line is _________________?
undefined
B.
zero
C. positive
What is the slope of the graph of y  3x  2 ?
1
B.
-3
C. 2
What is the slope of the graph of 4 x  3 y  15 ?
4
B.
-4
C. -4/3
What is the y-intercept of the graph of 3 y  2 x  18 ?
18
B.
2/3
C. 6
14
The equation of a line whose slope is 3 and y-intercept is 8 is __________?
A.
y  8x  3
B.
y  3x  8
C.
y  3 x  8
D.
y  3x  8
E.
y  3x  8
15.
Choose the set of equations that are parallel lines.
A.
y6
B.
y  3x  6
C.
y  2x  6
x2
y  5 x  1
D.
1
y  x2
2
1
y x
2
y  5x  3
E.
y  6x  3
y
1
x3
6
16
Which equation in point-slope form passes through the point (-1, 6) and has slope of 2/3?
A.
y6 
17
What is the equation of the line that passes through the points (2, 3) and (-1, 4)?
A.
y  3x 
18
Write y  x  2 in standard form with integer coefficients.
A.
7 y  3x  14
19
Write an equation of the horizontal line that passes through the point (2, -8).
A.
y2
20
What is an equation of the line that passes through point (5,2 ) and is perpendicular to
y  2 x  1 ?
A.
y
21
What is the slope of a line perpendicular to the line y  x  6 ?
A.
2
22.
Choose the solution of 2  x  5 .
A.
x  7
2
B.
( x  1)
3
11
3
B.
y 1
2
( x  6)
3
1
11
y x
3
3
C.
C.
y6
D.
2
( x  1)
3
y  3 x 
11
3
y6 
2
( x  1)
3
E
y 1
2
( x  6)
3
1
11
y x
3
3
E.
1
y x3
3
3x  7 y  14
E.
3 x  7 y  14
E.
y0
D.
3
7
1
3
x
2
2
B.
B.
B.
 3 x  7 y  2
x2
y  2 x  12
C.  3x  7 y  14
C.
C.
D.
y  8
D.
x  8
D.
1
9
y  x
2
2
y
1
1
x
2
2
E.
y
1
1
x
2
2
1
2
B.
B.
-1/2
x7
C. -2
D.
½
E. 1/6
C. x  7
D.
7  x
E.
7x
Which graph represents the solution of x  7  3 ?
23.
A.
B.
D.
C.
E.
24. Which graph represent the solution of 2 x  7  3  12 ?
A.
B.
D.
C.
E.
25.
Choose the inequality whose solution is shown in the graph.
A.
y  3 x  2
B.
y  3 x  2
C.
y  3x  2
D.
y  3x  2
E.
y  3 x  2
26.
Which point represents the solution of the system of linear equations?
A.
(1, 2)
27.
Use the substitution method to determine the solution of the system of linear equations.
A.
(1, 7)
28.
Which point lies on the graph of the system?
A.
(6, -3)
29.
You are taking a test worth 130 points. There are a total of 50 five-point and two-point
questions. How many five-point questions are on the test?
A.
15
30.
How many solutions does the linear system have?
x  y  8,
y  x  9,
y
A.
B.
None
C. (2, 1)
D.
(0, -2)
E. (0, 2)
y  3x
B.
(2, 6)
C. (-2, -6)
D.
(-1, -7)
E. (3, 5)
D.
(8, -1)
E. (6, 3)
x  2y  0
B.
B.
3
x  8,
2
(2, 0)
(-3, 6)
5
C. (5, -4)
C. 20
D.
12
E. 10
D.
Infinitely
many
E. Cannot be
determined
6 x  4 y  16
B.
Exactly one
C. Two