49)
y = x – 1
(0, ), ( , 0), (1, )
49)
A)
(0, –1), (1, 0), (1, 0)
B)
(0, –1), (–1, 0), (1, –2)
C)
(0, 1), (–1, 0), (1, 2)
D)
(0, 1), (1, 0), (1, 0)
Graph the linear inequality.
21
50)
y 4x
50)
A)
B)
C)
D)
Decide whether or not the ordered pair is a solution to the equation.
51)
8x + 12y = – 68; (–4, –3)
51)
A)
Yes
B)
No
22
Complete the ordered pair for the equation.
52)
y = – x + 8 (3, )
52)
A)
(3, –5)
B)
(3, 3)
C)
(3, 5)
D)
(3, 15)
Complete the table of values, and then plot the ordered pairs.
53)
x –2y =6
x y
0
0
2
–1
53)
A)
x y
–3 0
6 0
–2 2
3–1
B)
x y
0 3
6 0
2 2
4–1
C)
x y
0–3
–6 0
2 3
3–1
D)
x y
0–3
6 0
2–2
4–1
Graph the linear inequality.
23
54)
–4y >2x + 8
54)
A)
B)
C)
D)
Plot the ordered pairs on the rectangular coordinate system provided.
24
55)
A(1, 6), B(–2, –2)
55)
A)
B)
C)
D)
Complete the table of values. Write the results as ordered pairs.
56)
y = – x + 5
x y
1
0
5
56)
A)
(4, 1); (1, 0); (5, 5)
B)
(4, 1); (2, 0); (0, 5)
C)
(4, 1); (5, 0); (1, 5)
D)
(4, 1); (5, 0); (0, 5)
Determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular.
57)
6x + 2y = 8
15x + 5y = 21
57)
A)
Parallel
B)
Perpendicular
C)
Neither
A
Solve by graphing.
58)
During the month of January 1997, the depth of snow y (in inches) at the base of one ski resort
could be approximated by the linear equation y = – 2x +65, where x is the number of days since
December 31st. Graph the equation and use the graph to estimate the depth of snow on January
30th.
58)
A)
35 inches
B)
5 inches
C)
13 inches
D)
10 inches
B
26
D
Solve the problem.
59)
A cable TV company charges $24 for the basic service plus $8 for each movie channel. Let y be the
total cost in dollars of subscribing to cable TV, using x movie channels. What is the variable cost?
59)
A)
$24
B)
$8
C)
–$24
D)
No variable cost
Write an equation of the line through the given point with the given slope. Write the equation in slope–intercept form.
60)
(0, 2); m =3
4
60)
A)
y =4
3x + 2
B)
y =3
4x +1
2
C)
y =3
4x – 2
D)
y =3
4x + 2
D
Decide whether the slope is positive, negative, zero, or undefined.
61)
61)
A)
Undefined
B)
Positive
C)
Negative
D)
Zero
C
Complete the graph by shading the correct region.
27
B
62)
x + y 4
62)
A)
B)
C)
D)
28
Write the equation of the line with the given slope and y–intercept.
63)
slope 0;
y–intercept (0, 4)
63)
A)
y =4x
B)
x =4
C)
y = 0
D)
y =4
Write an equation of the line through the given point with the given slope. Write the equation in slope–intercept form.
64)
(–2, –6), m =4
64)
A)
y =4x + 16
B)
y =4x – 2
C)
y =4x – 16
D)
y =4x + 2
D
Solve the problem.
65)
Use the line graph to determine how many more hours were needed to prepare for Test 2 than for
Test 3.
65)
A)
4
B)
3
C)
1
D)
2
D
Write the equation of the line with the given slope and y–intercept.
66)
slope 7
3;
y–intercept (0, –4)
66)
A)
y =7
3x – 4
B)
y = – 7
3x + 4
C)
y = – 7
3x – 4
D)
y =7
3x + 4
A
D
Answer the question.
67)
True or False: The graph of the equation y =18 is a horizontal line.
67)
A)
True
B)
False
Provide an appropriate response.
68)
True or false?: The point (7, 4) lies on the graph of 3x +3y 30.
68)
A)
False
B)
True
A
Write an equation of the line through the given point with the given slope. Write the equation in slope–intercept form.
69)
(0, 4); m = – 4
9
69)
A)
y = – 4
9x – 4
B)
y = – 4
9x +1
4
C)
y = – 9
4x + 4
D)
y = – 4
9x + 4
D
Complete the table of values. Write the results as ordered pairs.
70)
x =4
x y
–5
–1
9
70)
A)
(–9, –5); (–5, –1); (5, 9)
B)
(–1, –5); (3, –1); (13, 9)
C)
(4, –5); (4, –1); (4, 9)
D)
(–20, –5); (–4, –1); (36, 9)
C
Graph the linear equation.
30
A
71)
2x – y = – 6
71)
A)
B)
C)
D)
Answer the question.
72)
True or False: An equation of the type y = c (c is a constant) produces a line parallel to the y–axis.
72)
A)
True
B)
False
Complete the graph by shading the correct region.
31
73)
x – 9y >5
73)
A)
B)
C)
D)
Complete the ordered pair for the equation.
74)
y = – x + 12 (4, )
74)
A)
(4, 8)
B)
(4, –8)
C)
(4, –2)
D)
(4, 2)
Write an equation, in slope–intercept form if possible, of the line through the pair of points.
75)
–1
5, 3
5 and 1
5, 7
5
75)
A)
y =4x +10
B)
y =2x –2
5
C)
y =2x
D)
y =2x +1
Graph the linear inequality.
76)
x – y > – 3
76)
A)
B)
33
C)
D)
Solve the problem.
77)
Use the line graph to determine which test required 3 hours of preparation.
77)
A)
Test 2
B)
Test 4
C)
Test 1
D)
Test 3
Give the ordered pairs for the points labeled on the graph.
78)
78)
A)
A(4, –5); B(1, –3)
B)
A(4, 5); B(0, –3)
C)
A(4, 5); B(0, 3)
D)
A(–4, 5); B(0, 3)
Graph the line through the given point with the given slope.
79)
(2, –1), m = 0
79)
A)
B)
35
C)
D)
Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the
y–intercept from the graph, write the slope–intercept form of the equation of the line.
80)
80)
A)
y = x –6
B)
y = – x –6
C)
y = – x +6
D)
y = x +6
Solve the problem.
81)
It costs $600 to start up a business of selling hot dogs. Each hot dog costs $.95 to produce. Let y be
the cost in dollars of producing x hot dogs. How many hot dogs will be produced if total cost is
$2405?
81)
A)
19 hot dogs
B)
1900 hot dogs
C)
3800 hot dogs
D)
190 hot dogs
Answer the question.
82)
True or False: The graph of the equation x +5y = 0 goes through the origin.
82)
A)
True
B)
False
Complete the ordered pair for the equation.
83)
y = – 6x – 10 (0, )
83)
A)
(0, –2)
B)
(0, –10)
C)
(0, 0)
D)
(0, –14)
Solve the problem.
84)
What is the slope (or grade) of this hill?
27 m
72 m
84)
A)
3
16 m
B)
27 m
C)
3
8 m
D)
8
3 m
Graph the linear inequality.
85)
x + y 2
85)
37
A)
B)
C)
D)
86)
x + 4y < – 1
86)
38
A)
B)
C)
D)
39
Give the ordered pairs for the points labeled on the graph.
87)
87)
A)
A(7, 1); B(–5, 7)
B)
A(7, 1); B(7, –5)
C)
A(7, 7); B(1, 7)
D)
A(1, 30); B(7, –5)
Use the information provided in the first statement to complete the second statement with one of the symbols <,
, >, or .
88)
A sweepstakes contest states that a single participant can win at most $2000.
A sweepstakes contest states that a single participant can win $2000.
88)
A)
B)
<
C)
>
D)
Determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular.
89)
4x – 9y = – 20
18x + 12y = – 16
89)
A)
Parallel
B)
Perpendicular
C)
Neither
Graph the line through the given point with the given slope.
40