Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the equation with the appropriate graph.
1)
y =2x – 5
1)
A)
B)
C)
D)
1
2)
y =1
5x + 3
2)
A)
B)
C)
D)
2
3)
y = – 1
2x – 5
3)
A)
B)
C)
D)
Solve.
4)
A hardware store has room for 200 bags of fertilizer. The fertilizer manufacturer plans to ship x
bags of fertilizer with weed killer and y bags of fertilizer without weed killer. This can be
represented by x + y 200. Which of the following ordered pairs satisfies the inequality?
(50, 140), (50, 200), (0, 250), (200, 200)
4)
A)
(200, 200)
B)
(50, 200)
C)
(50, 140)
D)
(0, 250)
3
Match the equation with the appropriate graph.
5)
y =4x + 6
5)
A)
B)
C)
D)
4
6)
y =-5x + 6
6)
A)
B)
C)
D)
5
7)
y =1
3x – 5
7)
A)
B)
C)
D)
6
8)
y =-4x – 3
8)
A)
B)
C)
D)
Determine the domain and range.
9)
This graph shows the speed of a car, in miles per hour (mph), at various times after a driver applies
the brakes.
9)
A)
Domain: {2, 4, 6, 8, 10}; range: {45, 30, 20, 10, 5}
B)
Domain: {2, 4, 6, 8}; range: {45, 30, 20, 10}
C)
Domain: {4, 4, 6, 8, 10}; range: {45, 30, 20, 10, 5}
D)
Domain: {45, 30, 20, 10, 5}; range: {2, 4, 6, 8, 10}
7
Match the equation with the appropriate graph.
10)
y = – 1
2x + 6
10)
A)
B)
C)
D)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
11)
11)
12)
12)
13)
13)
14)
14)
8
15)
15)
16)
16)
17)
17)
18)
18)
19)
19)
20)
20)
21)
21)
Use the following ordered pairs to form the vertices of a figure.
a. Plot the points and connect them to form the figure.
b. Find the perimeter of the figure.
c. Find the area of the figure.
22)
22)
Provide an appropriate response.
23)
23)
24)
24)
25)
25)
26)
26)
9
27)
27)
28)
28)
29)
29)
Use the following ordered pairs to form the vertices of a figure.
a. Plot the points and connect them to form the figure.
b. Find the perimeter of the figure.
c. Find the area of the figure.
30)
30)
Provide an appropriate response.
31)
31)
32)
32)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
33)
True or False? In quadrant II, the y–coordinate of a point is always negative.
33)
A)
True
B)
False
Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the equation
in the form Ax + By = C, where A, B, and C are integers and A > 0.
34)
(2, 9); y = x – 6
34)
A)
x – y =-7
B)
x + y =11
C)
x + y =-11
D)
x – y =7
10
Solve.
35)
The value, v, in hundreds of dollars, of Juan’s computer is approximated by the function
v(t) = – 1
2t + 10, where t is the number of years since he first bought the computer. Use a graph to
estimate the value of the computer 2 years after it was purchased.
35)
A)
$1100
B)
$900
C)
$800
D)
$960
36)
Crafty Bill’s Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of
cars sold as a function of time. What is the approximate number of cars sold in 1995?
36)
A)
150
B)
900
C)
600
D)
950
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
37)
(3, 2), (1, 2)
37)
A)
x=2
B)
y=-2
C)
x=-2
D)
y=2
Graph. Note that the equation is not in standard form.
11
38)
y = – 3
4x
38)
A)
B)
C)
D)
Find the domain and range of the relation.
39)
{(12, 2), (12, -2), (-8, 1), (7, 8), (3, -8)}
39)
A)
Domain: {12, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
B)
Domain: {12, 12, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
C)
Domain: {12, -2, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
D)
Domain: {-2, 1, 8, -8, 2}; Range: {12, 12, -8, 7, 3}
State the quadrant in which the point is located.
40)
(-3.3, 32)
40)
A)
I
B)
II
C)
III
D)
IV
12
41)
(-5.9, -3.7)
41)
A)
I
B)
II
C)
III
D)
IV
Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the equation
in the form Ax + By = C, where A, B, and C are integers and A > 0.
42)
(-8, -4); 2x – 5y =9
42)
A)
2x + 5y =-36
B)
5x + 2y =48
C)
5x + 2y =-48
D)
5x – 2y =-32
Determine whether the given lines are parallel, perpendicular, or neither.
43)
x =6
y =-2
43)
A)
Parallel
B)
Perpendicular
C)
Neither
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
44)
(-9, 2), (-4, 5)
44)
A)
3x – 5y =-37
B)
3x + 5y =-37
C)
3x + 5y =-17
D)
3x – 5y =-17
Graph. Note that the equation is in standard form.
45)
2x + y =2
45)
A)
B)
13
C)
D)
Determine whether the ordered pair is a solution for the linear inequality.
46)
(6, 0); y <1
3x – 1
46)
A)
Yes
B)
No
Determine the domain and range.
47)
47)
A)
Domain: {x|x 3}; range: all real numbers
B)
Domain: {x|x 3}; range: all real numbers
C)
Domain: all real numbers; range: all real numbers
D)
Domain: all real numbers; range: {y|y 3}
14
Write the coordinates for each point.
48)
48)
A)
C(-2, 1); D(-3, 4)
B)
C(1, 12); D(-3, 4)
C)
C(-2, 1); D(4, -3)
D)
C(-2, -3); D(1, -3)
Find the value of the function.
49)
Given f(x) =5x2– 4x – 2, find f(–4).
49)
A)
98
B)
94
C)
62
D)
30
Determine the slope and the y–intercept and write the equation of the line in slope–intercept form.
50)
50)
A)
y = – x –6
B)
y = – x +6
C)
y = x +6
D)
y = x –6
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
51)
(-5, 1), (-5, 9)
51)
A)
x=5
B)
y=-5
C)
y=5
D)
x=-5
Graph. Note that the equation is in standard form.
15
52)
x + y =3
52)
A)
B)
C)
D)
16
Determine the slope of the line.
53)
53)
A)
3
B)
1
3
C)
–1
3
D)
–3
Find the x– and y– intercepts.
54)
y =3x
54)
A)
(3, 0), (0, 3)
B)
(0, 0), (0, 3)
C)
(0, 0), (0, 0)
D)
(3, 0), (0, 0)
Indicate whether the graph of the equation inclines upward or downward from left to right.
55)
y = – 3
2x +1
55)
A)
Upward
B)
Downward
Determine the y–intercept.
56)
56)
A)
(0, -3)
B)
(0, 0)
C)
(3, 0)
D)
(0, 3)
Graph. Note that the equation is in standard form.
17
57)
x – 2y =2
57)
A)
B)
C)
D)
Graph. Note that the equation is not in standard form.
18
58)
y =5
58)
A)
B)
C)
D)
Determine the slope and the y–intercept. Then graph the equation.
19
59)
-4y =-2x – 14
59)
A)
m = – 1
2; y–intercept: 0, 7
2
B)
m =2; y–intercept: 0, 3
2
C)
m = – 1
2; y–intercept: 0, 3
2
D)
m =1
2; y–intercept: 0, 7
2
Graph.
20
60)
f(x) =x2+ 1
60)
A)
B)
C)
D)
21
Determine the slope and the y–intercept and write the equation of the line in slope–intercept form.
61)
61)
A)
y =– 5
7x – 5
B)
y = x – 5
C)
y =– 7
5x – 7
D)
y = –7x – 7
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
62)
m =4
5; (5, 4)
62)
A)
y =5
4x +8
B)
y = – 4
5x
C)
y =4
5x – 8
D)
y =4
5x
Use the graph to determine the value of the function.
63)
f(0)
63)
A)
3
B)
5
C)
0
D)
–2
22
Solve.
64)
In one U.S. town the annual consumption, b, of beef (in kg per person) can be estimated by the
function b(t) = – 1
3t + 23, where t is the number of years since 1985. Use a graph to estimate the beef
consumption in the year 2002.
64)
A)
About 29 kg per person
B)
About 17 kg per person
C)
About 14 kg per person
D)
About 11 kg per person
65)
A ladder is resting against a wall. The foot of the ladder is 8 feet from the wall, and the top of the
ladder is 16 feet from the ground. Find the slope of the ladder?
65)
A)
8
B)
2
C)
16
D)
1
2
Determine whether the relation is a function.
66)
{(-6, -6), (-6, 5), (-1, –4), (5, 7), (10, 4)}
66)
A)
It is a function.
B)
It is not a function.
Provide an appropriate response.
67)
What is the equation of a vertical line through (-2, 2)?
67)
A)
x =-2
B)
y =2
C)
y =-2
D)
x =2
Write the equation of a line through the given points in slope–intercept form.
68)
(0, 0), (1, -9)
68)
A)
y =9x
B)
y = – 1
9x
C)
y =-9x
D)
y =1
9x
Determine whether the ordered pair is a solution for the equation.
69)
(3.8, 1.4); y =5x – 17.6
69)
A)
Yes
B)
No
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
70)
m =5
2; (0, -6)
70)
A)
y = – 5
2x + 6
B)
y =5
2x + 6
C)
y =5
2x – 6
D)
y = – 5
2x – 6
23
Write the equation of a line through the given points in slope–intercept form.
71)
(9, -1), (5, -4)
71)
A)
y =3
4x – 31
4
B)
y =– 3
4x – 31
4
C)
x =– 3
4y – 31
4
D)
x =3
4y – 31
4
Determine the slope and the y–intercept. Then graph the equation.
72)
x + y =1
72)
A)
m = 1; y–intercept: (0, -1)
B)
m = –1; y–intercept: (0, 1)
C)
m = –1; y–intercept: (0, -1)
D)
m = 1; y–intercept: (0, 1)
24
Determine the slope of the line.
73)
73)
A)
1
2
B)
0
C)
undefined
D)
2
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
74)
m =2; (0, 0)
74)
A)
y = x + 2
B)
x =2y
C)
y =2x
D)
y =2
25
Graph the linear inequality.
75)
2x + 3y -6
75)
A)
B)
C)
D)
Find the value of the function.
76)
Given f(x) =6x + 18, find f(-10).
76)
A)
-78
B)
-42
C)
78
D)
6
Find the x– and y– intercepts.
77)
x – y =-13
77)
A)
(-13, 0), (0, -13)
B)
(13, 0), (0, -13)
C)
(13, 0), (0, 13)
D)
(-13, 0), (0, 13)
26
Determine the slope and the y–intercept. Then graph the equation.
78)
y =4x –7
78)
A)
m =4, y–intercept: (0, 7)
B)
m =4, y–intercept: (0, –7)
C)
m =7, y–intercept: (0, 4)
D)
m =7, y–intercept: (0, 4)
27
Graph the linear inequality.
79)
x – y >-2
79)
A)
B)
C)
D)
Graph.
28
80)
f(x) =3
4x
80)
A)
B)
C)
D)
29
Graph the linear inequality.
81)
-2x – 4y 8
81)
A)
B)
C)
D)
Determine if the relation is a function.
82)
Credit card expenses on Jim‘s monthly bill:
Gas station $16.55
Restaurant $55.00
Grocery $80.99
Restaurant $64.50
Gas station $19.47
82)
A)
It is a function.
B)
It is not a function.
30
Determine whether the relation is a function.
83)
{(-3, –3), (-2, 6), (–1, -5), (–1, 9)}
83)
A)
It is not a function.
B)
It is a function.
Graph. Note that the equation is not in standard form.
84)
y =1
3x
84)
A)
B)
C)
D)
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
85)
m =3
7; (0, 5)
85)
A)
y =3
7x – 1
5
B)
y =– 7
3x + 1
5
C)
y =– 3
7x + 5
D)
y =3
7x + 5
31
Determine the slope of the line.
86)
86)
A)
3
2
B)
3
C)
undefined
D)
0
Find the slope of the line through the given points.
87)
(8, -2), (–8, 6)
87)
A)
0
B)
– 11
14
C)
– 1
2
D)
– 14
11
State the quadrant in which the point is located.
88)
(-16, -5)
88)
A)
I
B)
II
C)
III
D)
IV
Solve.
89)
Alison sets aside $45 each month to spend on books and CDs. If she spends c dollars on CDs in a
given month she may spend b dollars on books where c + b = 45. Graph the equation and use the
graph to estimate the amount Alison may spend on books in March if she spends $23 on CDs.
89)
A)
$29
B)
$68
C)
$22
D)
$33
32
90)
The cost, T, in hundreds of dollars, of tuition at one community college is given by the function
T(c) = 2 + 7
5c, where c is the number of credits for which a student registers. Use a graph to estimate
the cost of tuition if a student registers for 10 credits.
90)
A)
About $1300
B)
About $2500
C)
About $2100
D)
About $1600
91)
The table below shows the population of a city in various years. Use the data to draw a graph of the
population as a function of time. Use the graph to estimate when the population reached 6.4 million
Year Population (millions)
1950 1.1
1960 1.8
1970 2.9
1980 4.8
1990 7.7
91)
A)
1987
B)
1985
C)
1984
D)
1986
33
92)
The cost, T, in hundreds of dollars, of tuition at one community college is given by T = 3 + 1.25c,
where c is the number of credits for which a student registers. Graph the equation, and find the cost
if a student registers for 11 credits.
92)
A)
About $1540
B)
$1675
C)
About $2740
D)
About $2340
34
93)
Let x =20 and y =5. Find the pitch of the roof.
93)
A)
1
3
B)
1
2
C)
1
6
D)
1
4
Determine the slope of the line.
94)
94)
A)
4
B)
–1
C)
1
D)
–4
Provide an appropriate response.
95)
Given two points (x1, y1) and (x2, y2), where x1x2, what is the formula for the slope of the line
connecting the two points?
95)
A)
m =y2 – y1
x2 – x1
B)
m =y2+ y1
x2+ x1
C)
m =y2 – y1
x1 – x2
D)
m =x2 – x1
y2 – y1
96)
What is the relationship between the slopes of two parallel lines?
96)
A)
There is no general relationship, because the y–intercepts can be different.
B)
One slope is the negative of the other.
C)
They are equal.
D)
One slope is the reciprocal of the other.
35
Solve.
97)
The rate of return of certain investments increases as the risk factor of the investment increases. An
investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 18
has a rate of return of 20.0%. What is the average rate of return per unit of risk?
97)
A)
0.72% per unit risk
B)
1.38% per unit risk
C)
1.07% per unit risk
D)
0.94% per unit risk
Find the x– and y– intercepts.
98)
4x –6y =5
98)
A)
5
4, 0 , 0, – 5
6
B)
5
4, 0 , 0, 5
6
C)
(1, 0) , (0, 11 )
D)
– 5
6, 0 , 0, 5
4
Use the graph to determine the value of the function.
99)
f(-1)
99)
A)
4
B)
6
C)
3
D)
5
Graph.
100)
f(x) = – 1
4x
100)
36
A)
B)
C)
D)
Determine whether the ordered pair is a solution for the equation.
101)
(3, 2); 4x + 5y =22
101)
A)
Yes
B)
No
Graph.
102)
f(x) =3
2x –4
102)
37
A)
B)
C)
D)
Solve.
103)
Crafty Bill’s Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of
cars sold as a function of time. What is the approximate number of cars sold in 1993?
103)
A)
600
B)
500
C)
650
D)
250
Determine whether the ordered pair is a solution for the equation.
104)
(4, 5); x + y =9
104)
A)
Yes
B)
No
38
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
105)
m = – 2
5; (0, 6)
105)
A)
y =2
5x – 6
B)
y =2
5x + 6
C)
y = – 2
5x – 6
D)
y = – 2
5x + 6
Determine the y–intercept.
106)
106)
A)
(0, 1)
B)
no y–intercept
C)
(0, 0)
D)
(1, 0)
Determine whether the given lines are parallel, perpendicular, or neither.
107)
y =7x – 5
y =7x – 1
107)
A)
Parallel
B)
Perpendicular
C)
Neither
Plot and label the points indicated by the coordinate pairs.
108)
A(-6, -3), B(-5, 3)
108)
39
A)
B)
C)
D)
Find the x– and y– intercepts.
109)
4x +5y =20
109)
A)
(5, 0), (0, 4)
B)
(-5, 0), (0, -4)
C)
(5, 0), (0, -4)
D)
(4, 0), (0, 5)
110)
5
6x + y =15
110)
A)
(18, 0), (0, 15)
B)
(0, 0), (0, 15)
C)
(15, 0), (0, 18)
D)
(18, 0), (1, 15)
40
Write the coordinates for each point.
111)
111)
A)
A(-4, 0); B(-2, -1)
B)
A(4, 0); B(2, -1)
C)
A(-4, 4); B(2, -1)
D)
A(-4, 0); B(2, -1)
Determine whether the given lines are parallel, perpendicular, or neither.
112)
y =5x + 3
y =-5x + 1
112)
A)
Parallel
B)
Perpendicular
C)
Neither
Determine whether the ordered pair is a solution for the equation.
113)
(3, 8); x + y =6
113)
A)
Yes
B)
No
Determine the slope of the line.
114)
114)
A)
–2
B)
1
2
C)
2
D)
–1
2
41
Graph the linear inequality.
115)
y <-5x + 1
115)
A)
B)
C)
D)
42
Graph.
116)
f(x) = x + 3
116)
A)
B)
C)
D)
43
Graph the linear inequality.
117)
x + y <-2
117)
A)
B)
C)
D)
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in
slope–intercept form.
118)
(-2, -1); y = – 1
4x – 7
118)
A)
y =4x + 7
B)
y =4x – 7
C)
y = – 1
4x + 3
2
D)
y = – 1
4x – 3
2
44
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
119)
m =5
8; (0, 5)
119)
A)
y =5
8x + 1
5
B)
y =8
5x + 5
C)
y =5
8x + 5
D)
y =5
8x – 5
Solve.
120)
The town of Appleville recorded the following dates and populations.
YEAR POPULATION
(in thousands)
1980 22.5
1985 24
1990 27
1995 33
Draw a graph of the population as a function of time. What is the approximate population of
Appleville in 1988?
120)
A)
26,000
B)
24,000
C)
27,000
D)
25,000
45
Graph the linear inequality.
121)
4x + y 6
121)
A)
B)
C)
D)
Graph. Note that the equation is in standard form.
46
122)
2x – y =8
122)
A)
B)
C)
D)
Determine if the relation is a function.
123)
The number of tests in various classes:
Math 12
English 5
History 12
Biology 7
Psychology 4
123)
A)
It is a function.
B)
It is not a function.
47
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
124)
(3, 4), (-4, 6)
124)
A)
7x + 2y =34
B)
7x – 2y =-22
C)
2x + 7y =34
D)
2x – 7y =-22
Write the equation of a line through the given points in slope–intercept form.
125)
(10, -6), (-1, -6)
125)
A)
y =10
B)
x =-6
C)
x =10
D)
y =-6
Graph. Note that the equation is not in standard form.
126)
y =1
3x – 3
126)
A)
B)
C)
D)
48
Provide an appropriate response.
127)
True or False? The graph of the equation y =-21 is a horizontal line.
127)
A)
True
B)
False
Solve.
128)
Tickets to a ballet cost $13 if bought in advance. If bought on the date of the ballet, they cost $25.
For the ballet to make a profit, the total money collected from ticket sales must be at least $380.
Write an inequality to represent this situation, using x for the number of tickets bought in advance
and y for the number of tickets bought on the date of the ballet. Do not solve the inequality.
128)
A)
13x –25y 380
B)
13x +25y 380
C)
13x –25y 380
D)
13x +25y 380
Find the x– and y– intercepts.
129)
–x +5
8y =-5
129)
A)
(5, 0), (0, -8)
B)
(-5, 0), (0, -8)
C)
(5, 0.5), (0, -8)
D)
(8, 0), (0, -5)
Graph.
130)
f(x) = |x| + 2
130)
A)
B)
49
C)
D)
Find the value of the function.
131)
Given f(x) = – x – 9 , find f(5).
131)
A)
-4
B)
9
C)
4
D)
5
Provide an appropriate response.
132)
True or False? The graph of the equation x =-19 is a vertical line.
132)
A)
True
B)
False
Find the value of the function.
133)
Given f(x) =1
4x +9, find f(–3).
133)
A)
33
4
B)
– 33
4
C)
39
4
D)
0
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
134)
m =2
5; (0, 1)
134)
A)
y =2
5x + 1
B)
y =2
5x – 1
C)
y = – 2
5x + 1
D)
y = – 2
5x – 1
50
Use the graph to determine the value of the function.
135)
f(1)
135)
A)
0
B)
4
C)
-4
D)
-2
Graph.
136)
f(x) = –|x + 3|
136)
A)
B)
51
C)
D)
State whether the relation is a function.
137)
This graph shows the speed of a car, in miles per hour (mph), at various times after a driver applies
the brakes.
137)
A)
It is a function.
B)
It is not a function.
Determine whether the ordered pair is a solution for the equation.
138)
(4, 7); x – y =16;
138)
A)
Yes
B)
No
Indicate whether the graph of the equation inclines upward or downward from left to right.
139)
y =8x +7
139)
A)
Upward
B)
Downward
Find the domain and range of the relation.
140)
{(5, 3), (-4, 7), (10, 9), (2, -12), (4, -5)}
140)
A)
Domain: {2, -12, 10, 9, –4}; Range: {7, 4, -5, 5, 3}
B)
Domain: {7, 4, -5, 5, 3}; Range: {2, -12, 10, 9, –4}
C)
Domain: {2, 10, –4, 4, 5}; Range: {-12, 9, 7, -5, 3}
D)
Domain: {-12, 9, 7, -5, 3}; Range: {2, 10, –4, 4, 5}
Graph. Note that the equation is in standard form.
52
141)
3x – y =3
141)
A)
B)
C)
D)
Plot and label the points indicated by the coordinate pairs.
53
142)
A(2, 5), B(-5, 4)
142)
A)
B)
C)
D)
54
Solve.
143)
The graph depicts a relationship between scores achieved on an unspecified standardized test and
family income. Find the slope of the line.
r
Income (in $1000’s)
143)
A)
1 point(s) per thousand dollars
B)
1000 point(s) per thousand dollars
C)
10.1 point(s) per thousand dollars
D)
100 point(s) per thousand dollars
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in
slope–intercept form.
144)
(1, -5); y =2x – 6
144)
A)
y =2x – 7
B)
y =-2x – 3
C)
y =2x + 7
D)
y =-2x + 3
Which equation’s graph has the steeper slope?
145)
y =0.6x +3 or y = x –3
145)
A)
y = x –3
B)
y =0.6x +3
Provide an appropriate response.
146)
How many solutions does the equation -3x + 4y =3 have?
146)
A)
1
B)
0
C)
3
D)
An infinite number
Determine the y–intercept.
147)
147)
A)
no y–intercept
B)
(0, 0)
C)
(4, 0)
D)
(0, 4)
55
State whether the relation is a function.
148)
148)
A)
It is a function.
B)
It is not a function.
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in
slope–intercept form.
149)
(5, 4); x + y =14
149)
A)
y = x – 1
B)
y = –x + 9
C)
y = –x – 9
D)
y = x + 1
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
150)
m =– 8; (5, 3)
150)
A)
y =– 1
8x +43
B)
y =-8x +1
43
C)
y =-8x +43
D)
y =-8x –43
Solve.
151)
Alison sets aside $55 each month to spend on books and CDs. If she spends c dollars on CDs in a
given month, then she may spend b dollars on books, where c + b = 55. Find the amount Alison may
spend on books in March if she spends $22 on CDs.
151)
A)
$77
B)
$33
C)
$40
D)
$44
Determine the slope and the y–intercept and write the equation of the line in slope–intercept form.
152)
152)
A)
y =2x + 2
B)
y =2x – 4
C)
y = x – 4
D)
y =1
2x + 2
56
Determine the y–intercept.
153)
153)
A)
(0, -1)
B)
(1, 0)
C)
(0, 1)
D)
(-1, 0)
154)
154)
A)
(0, 2)
B)
(0, 1)
C)
(0, -2)
D)
(0, -1)
Provide an appropriate response.
155)
Given the slopes of three lines, m1= 2, m2= 5, m3= –4, which line would you say is the steepest?
Why?
155)
A)
The line with a slope of 2 is the steepest, because the absolute value of 2 is smaller than the
absolute values of 5 and –4.
B)
The line with a slope of 5 is the steepest, because the absolute value of 5 is larger than the
absolute values of 2 and –4.
C)
The line with a slope of –4 is the steepest, because the absolute value of –4 is more negative
than the absolute values of 2 and 5.
D)
The line with a slope of –4 is the steepest, because –4 is more negative than 2 and 5.
Find the slope of the line through the given points.
156)
(-1, -6), (-2, -2)
156)
A)
– 1
4
B)
– 4
C)
2
5
D)
4
Determine whether the relation is a function.
157)
{(-7, 7), (-2, 4), (2, 7), (7, 4)}
157)
A)
It is a function.
B)
It is not a function.
57
Graph. Note that the equation is not in standard form.
158)
y =-1 – x
158)
A)
B)
C)
D)
Find the slope of the line through the given points.
159)
(2, -3), (2, 6)
159)
A)
0
B)
9
C)
– 1
D)
Undefined
58
State whether the relation is a function.
160)
160)
A)
It is a function.
B)
It is not a function.
Solve.
161)
Kannanaski Rapids drops 67 ft over a horizontal distance of 910 ft. Find the slope of Kannanaski
Rapids. Round your answer as appropriate.
161)
A)
-13.6
B)
-67
C)
-0.074
D)
-0.001
Determine whether the ordered pair is a solution for the equation.
162)
(1, -2); y = –2x
162)
A)
Yes
B)
No
Provide an appropriate response.
163)
True or False? The ordered pair (0, 0) determines a point in quadrant I with x-coordinate 0 and
y-coordinate 0.
163)
A)
True
B)
False
Determine whether the ordered pair is a solution for the linear inequality.
164)
(-4, 2); 2x –5y 3
164)
A)
Yes
B)
No
Determine the slope and the y–intercept. Then graph the equation.
165)
y = – 1
2x + 6
165)
59
A)
m = – 1
2; y–intercept: (0, –6)
B)
m =1
2; y–intercept: (0, 6)
C)
m =1
2; y–intercept: (0, –6)
D)
m = – 1
2; y–intercept: (0, 6)
Find the slope of the line through the given points.
166)
(-7, 9), (5, 9)
166)
A)
1
B)
Undefined
C)
3
D)
0
Find the value of the function.
167)
Given f(x) = x2– 5x – 2, find f(-1).
167)
A)
4
B)
8
C)
–6
D)
–2
Determine whether the relation is a function.
168)
{(2, 7), (2, 2), (4, -5), (7, -5), (12, -6)}
168)
A)
It is not a function.
B)
It is a function.
Solve.
60
169)
In order to make a profit an automobile dealer must sell at least 180 vehicles a month. The dealer
plans to sell x units of one model and y units of another model. This can be represented by
x + y 180.Graph the inequality.
169)
A)
B)
C)
D)
Find the domain and range of the relation.
170)
{(-4, 5), (-3, 1), (-7, -2), (-1, 7)}
170)
A)
Domain: {-4, -1, -7, -3}; Range: {5, -5, 7, -2, 1}
B)
Domain: {-4, -1, -7, -3}; Range: {5, 7, -2, 1}
C)
Domain: {-4, -1, -7, -3}; Range: {5, 5, 7, -2, 1}
D)
Domain: {5, 7, -2, 1}; Range: {-4, -1, -7, -3}
61
Provide an appropriate response.
171)
True or False? The graph of y = c, where c is a real number constant, is a line parallel to the y-axis.
171)
A)
False
B)
True
Solve.
172)
A hill on a hiking trail goes up 57 feet over a distance of 159 feet. Find the grade of the hill.
172)
A)
19
53
B)
53
19
C)
159
D)
57
Determine whether the ordered pair is a solution for the linear inequality.
173)
(3, 4); 8x +4y 40
173)
A)
Yes
B)
No
Find the value of the function.
174)
Given f(x) =3
x + 3, find f(3).
174)
A)
–1
2
B)
1
C)
1
2
D)
Undefined
Solve.
175)
During the month of January 2003, the depth, d, of snow in inches at the base of one ski resort could
be approximated by the function d(t) = –2t + 67, where t is the number of days since December 31st.
Use a graph to estimate the depth of snow on January 27th.
175)
A)
18 inches
B)
40 inches
C)
21 inches
D)
13 inches
62
Determine the slope and the y–intercept and write the equation of the line in slope–intercept form.
176)
176)
A)
y =– 5
3x – 5
B)
y = –5x – 5
C)
y =– 3
5x – 3
D)
y = –x – 3
Which equation’s graph has the steeper slope?
177)
y =5x +3 or y =3x +3
177)
A)
y =5x +3
B)
y =3x +3
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
178)
m = 0; (0, 2)
178)
A)
y = 0
B)
y =2
C)
x =2
D)
y =2x
Determine the slope and the y–intercept. Then graph the equation.
179)
2x + 4y =14
179)
63
A)
m =2; y–intercept: 0, 3
2
B)
m =1
2; y–intercept: 0, 7
2
C)
m =1
2; y–intercept: 0, 3
2
D)
m = – 1
2; y–intercept: 0, 7
2
Determine the domain and range.
180)
180)
A)
Domain: {x|–2
x 2}; range: {y|–4
y
4}
B)
Domain: {x|–4
x 4}; range: {y|–2
y
2}
C)
Domain: {x|x
2}; range: {y|y 4}
D)
Domain: all real numbers; range: all real numbers
64
Solve.
181)
The graph depicts a relationship between scores achieved on an unspecified standardized test and
family income. Find the slope of the line.
Income (in $1000′s)
181)
A)
25
3 points per thousand dollars
B)
5
3 points per thousand dollars
C)
5 points per thousand dollars
D)
25 points per thousand dollars
65
Graph the linear inequality.
182)
y 5x
182)
A)
B)
C)
D)
Graph. Note that the equation is not in standard form.
66
183)
x = –1
183)
A)
B)
C)
D)
67
Determine the slope and the y–intercept and write the equation of the line in slope–intercept form.
184)
184)
A)
y = x –6
B)
y = – x +6
C)
y = x +6
D)
y = – x –6
68
Graph the linear inequality.
185)
y <-3
185)
A)
B)
C)
D)
State the quadrant in which the point is located.
186)
(-8, 12)
186)
A)
I
B)
II
C)
III
D)
IV
Solve.
187)
The cost of manufacturing a molded part is related to the quantity produced during a production
run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $4800.
What is the average cost per part?
187)
A)
$10.00 per part
B)
$7.50 per part
C)
$9.00 per part
D)
$0.11 per part
Graph. Note that the equation is in standard form.
69
188)
2x – 3y =18
188)
A)
B)
C)
D)
Determine whether the ordered pair is a solution for the equation.
189)
(-2, -3); 2x – 4y =8
189)
A)
Yes
B)
No
Provide an appropriate response.
190)
True or False? The ordered pair (–2, –6) determines a point in quadrant III with y–coordinate –2
and x–coordinate –6.
190)
A)
True
B)
False
70
Determine the y–intercept.
191)
191)
A)
(–3, 0)
B)
(3, 0)
C)
(0, –6)
D)
(0, 6)
71
Determine the slope and the y–intercept. Then graph the equation.
192)
y =-4x +6
192)
A)
m =6, y–intercept: (0, -4)
B)
m =6, y–intercept: (0, -4)
C)
m =-4, y–intercept: (0, 6)
D)
m =-4, y–intercept: (0, 6)
72
Graph the linear inequality.
193)
x 1
193)
A)
B)
C)
D)
Solve.
194)
A children’s slide rises 11 feet over a horizontal distance of 9 feet. Find the slope of the slide?
194)
A)
11
9
B)
9
11
C)
9
D)
11
Find the value of the function.
195)
Given f(x) =x – 2 , find f(1).
195)
A)
0
B)
Undefined
C)
–1
D)
1
73
Provide an appropriate response.
196)
True or False? The graph of the equation y =-9 goes through the origin.
196)
A)
True
B)
False
Solve.
197)
A cross–country skier reaches the 11–km mark of a race 40 min after reaching the 2-km mark. Find
the speed of the skier.
197)
A)
27
2 km/hour
B)
33
2 km/hour
C)
9 km/hour
D)
18 km/hour
Find the x– and y– intercepts.
198)
y =-4
198)
A)
No x–intercept, (0, 4)
B)
No x–intercept, (0, -4)
C)
(-4, 0), no y–intercept
D)
No x–intercept, no y–intercept
Determine the domain and range.
199)
199)
A)
Domain: {x|0
x 2}; range: {y|0
y
4}
B)
Domain: {x|–2
x 2}; range: {y|0
y
4}
C)
Domain: {x|–2
x 2}; range: {y|–4
y
4}
D)
Domain: {x|0
x 4}; range: {y|–2
y
2}
Determine whether the ordered pair is a solution for the equation.
200)
(5, 5); 2x – 3y =25
200)
A)
Yes
B)
No
Determine the y–intercept.
201)
201)
A)
(0, –3)
B)
(0, –2)
C)
(0, 2)
D)
(0, 3)
74
Solve.
202)
The cost, c, in dollars of car rental is 9+ .25m, where m is the number of miles driven.
Graph the equation and use the graph to estimate the cost of car rental if the number of miles
driven is 35.
202)
A)
About 14 dollars
B)
About 37.25 dollars
C)
About 23 dollars
D)
About 18 dollars
Which equation’s graph has the steeper slope?
203)
y = x –1 or y =6x +5
203)
A)
y = x –1
B)
y =6x +5
Find the x– and y– intercepts.
204)
y =3
4x –24
204)
A)
(32, 0), (0, 24)
B)
(-32, 0), (0, 24)
C)
(32, 0), (0, -24)
D)
(24, 0), (0, -24)
Determine whether the relation is a function.
205)
{(-1, 6), (3, -3), (6, 4), (8, 1), (10, 4)}
205)
A)
It is not a function.
B)
It is a function.
Determine the slope of the line.
206)
206)
A)
-5
B)
-7
C)
-3
D)
1
Solve.
75
207)
During the month of January 2005, the depth, d, of snow in inches at the base of one ski resort could
be approximated by d = -2t + 68, where t is the number of days since December 31st. Graph the
equation and use the graph to estimate the depth of snow on January 30th.
207)
A)
13 inches
B)
8 inches
C)
16 inches
D)
38 inches
76
Determine the domain and range.
208)
208)
A)
Domain: all real numbers; range: {y|y < 0}
B)
Domain: all real numbers; range: {y|y > 0}
C)
Domain: {x|x < 0}; range: all real numbers
D)
Domain: all real numbers; range: all real numbers
Determine the slope and the y–intercept. Then graph the equation.
209)
4x – 5y =27
209)
A)
m =4
5; y–intercept: 0, – 27
5
B)
m = – 4
5; y–intercept: 0, – 17
5
77
C)
m = – 4
5; y–intercept: 0, – 27
5
D)
m =5
4; y–intercept: 0, – 17
5
State whether the relation is a function.
210)
210)
A)
It is a function.
B)
It is not a function.
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
211)
(-7, 14), (4, -8)
211)
A)
x+ 2y = 0
B)
2x – y = 0
C)
2x + y = 0
D)
x– 2y = 0
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
212)
m =-3.5; (0, 7.45)
212)
A)
y =3.5x +7.45
B)
y =-3.5x +7.45
C)
y =-3.5x –7.45
D)
y =7.45x – 3.5
Determine whether the relation is a function.
213)
{(-7, 7), (-7, 6), (1, 2), (5, -1), (10, –1)}
213)
A)
It is not a function.
B)
It is a function.
78
Write the coordinates for each point.
214)
214)
A)
A(5, -2); B(1, -5)
B)
A(5, 2); B(0, -5)
C)
A(5, 2); B(0, 5)
D)
A(-5, 2); B(0, 5)
215)
215)
A)
G(-3, 22); H(-3, -2)
B)
G(3, -3); H(-3, -2)
C)
G(3, -3); H(-2, -3)
D)
G(3, -3); H(-3, -3)
Determine whether the relation is a function.
216)
{(-3, -9), (-2, -6), (4, -1), (4, -5)}
216)
A)
It is not a function.
B)
It is a function.
Solve.
217)
The value, v, in hundreds of dollars, of Juan’s computer is approximated by v = –0.50t + 10 where t
is the number of years since he first bought the computer. Find the value of the computer 8 years
after it was purchased.
217)
A)
$600
B)
$200
C)
$840
D)
$1400
Determine whether the given lines are parallel, perpendicular, or neither.
218)
9x +4y =-15
y = – 9
4x – 16
218)
A)
Parallel
B)
Perpendicular
C)
Neither
79
219)
3x – 2y =-5
2x + 3y =-5
219)
A)
Parallel
B)
Perpendicular
C)
Neither
220)
y =9x + 6
y = – 1
9x + 3
220)
A)
Parallel
B)
Perpendicular
C)
Neither
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in
slope–intercept form.
221)
(–5, 9); 2x – 5y =-8
221)
A)
y =2
5x + 11
B)
y =5
2x+ 11
C)
y = – 5
2x + 11
D)
y = – 2
5x + 7
Determine whether the ordered pair is a solution for the equation.
222)
3
4, 55
8; y =1
2x +11
4
222)
A)
Yes
B)
No
Plot and label the points indicated by the coordinate pairs.
223)
A(0, –2), B (5, 0)
223)
A)
B)
80
C)
D)
Determine whether the given lines are parallel, perpendicular, or neither.
224)
y = x + 6
y = –x
224)
A)
Parallel
B)
Perpendicular
C)
Neither
Write the equation of a line through the given points in slope–intercept form.
225)
(2, –4), (0, 7)
225)
A)
y = –x + 7
B)
y =– 11
2x + 7
C)
y = x + 7
D)
y =11
2x + 7
Solve.
226)
Jason bought x rose plants and y sunflower plants for his garden. Rose plants cost $7 each, and
sunflower plants cost $14 each. If his spending limit was $252., write an inequality to show the
possible combinations of rose plants and sunflower plants he could have bought. Do not solve the
inequality.
226)
A)
14x +7y 252
B)
7x +14y 252;
C)
14x +7y 252
D)
7x +14y 252
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
227)
m = – 5
7; (0, 3)
227)
A)
y =– 5
7x – 3
B)
y =– 7
5x + 3
C)
y =– 5
7x + 1
3
D)
y =– 5
7x + 3
Plot and label the points indicated by the coordinate pairs.
81
228)
A(1, -2), B(-2, 3)
228)
A)
B)
C)
D)
Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the equation
in the form Ax + By = C, where A, B, and C are integers and A > 0.
229)
(1, 8); y =5x – 15
229)
A)
x +5y =41
B)
x +5y =-41
C)
x – 5y =-39
D)
x – 5y =39
82
Graph.
230)
f(x) =2x – 2
230)
A)
B)
C)
D)
Solve.
231)
In 1980, the population of a city was 5.2 million. By 1992 the population had grown to 7.6 million.
Find the rate at which the population of the city was growing.
231)
A)
1
5 million per year
B)
4
15 million per year
C)
6
35 million per year
D)
19
30 million per year
83
State whether the relation is a function.
232)
232)
A)
It is a function.
B)
It is not a function.
Find the domain and range of the relation.
233)
{(8, -7), (12, -4), (–1, 7), (–1, -9)}
233)
A)
Domain: {-1, 12, 8, 1}; Range: {7, -4, -7, -9}
B)
Domain: {7, -4, -7, -9}; Range: {-1, 12, 8}
C)
Domain: {-1, 12, 8}; Range: {7, -4, -7, -9}
D)
Domain: {-1, 12, 8, –1}; Range: {7, -4, -7, -9}
Graph.
234)
f(x) = –x2+ 3
234)
A)
B)
84
C)
D)
Determine whether the relation is a function.
235)
{(-3, -8), (-2, 7), (1, 2), (6, -8)}
235)
A)
It is not a function.
B)
It is a function.
Solve.
236)
A hardware store has room for 600 bags of fertilizer. The fertilizer manufacturer plans to ship x
bags of fertilizer with weed killer and y bags of fertilizer without weed killer. This can be
represented by x + y 600. Graph the inequality.
236)
A)
B)
85
C)
D)
237)
The function F described by F(C) =9
5C + 32 gives the Fahrenheit temperature corresponding to the
Celsius temperature C. Find the Fahrenheit temperature equivalent to -15° C.
237)
A)
-76° F
B)
5° F
C)
-22° F
D)
-49° F
86
Graph. Note that the equation is not in standard form.
238)
y =3x + 6
238)
A)
B)
C)
D)
87
State whether the relation is a function.
239)
239)
A)
It is a function.
B)
It is not a function.
Find the slope of the line through the given points.
240)
(-2, -5), (2, 6)
240)
A)
11
4
B)
4
11
C)
11
10
D)
– 11
4
Solve.
241)
A deep sea diving bell is being lowered at a constant rate. After 9 minutes, the bell is at a depth of
400 feet. After 55 minutes the bell is at a depth of 1300 feet. What is the average rate of lowering per
minute?
241)
A)
23.6 ft per minute
B)
0.05 ft per minute
C)
19.6 ft per minute
D)
16.4 ft per minute
Find the domain and range of the relation.
242)
{(8, 3), (6, 11), (4, –2), (2, 11), (–2, 3)}
242)
A)
Domain: {3, 11, –2}, Range: {8, 6, 4, 2, –2}
B)
Domain: {8, 6, 4, 2}, Range: {3, 11, –2}
C)
Domain: {8, 6, 4, 2, –2}, Range: {3, 11, –2, 11, 3}
D)
Domain: {8, 6, 4, 2, –2}, Range: {3, 11, –2}
Provide an appropriate response.
243)
Describe the graph of the function f(x) = x +1 if the domain is {2, 3, 4, 5}.
243)
A)
The graph consists of the four points (2, 3), (3, 4), (4, 5), and (5, 6).
B)
The graph consists of the four points (2, 1), (3, 1), (4, 1), and (5, 1).
C)
The graph is a line through the four points (2, 3), (3, 4), (4, 5), and (5, 6).
D)
The graph is a line through the four points (2, 1), (3, 1), (4, 1), and (5, 1).
244)
If you are given the y–intercept (0, b) of a line, to write the equation of the line you will need either
______ or ______.
244)
A)
the quadrant; the x–intercept (a, 0)
B)
the quadrant; another point
C)
the slope; another point
D)
the slope; the origin
88
Find the domain and range of the relation.
245)
{(8, 13), (–7, 5), (4, –3), (8, –5), (–7, 13)}
245)
A)
Domain: {8, –7, 4}, Range: {13, 5, –3, –5, –13}
B)
Domain: {8, –7, 4, –8}, Range: {13, 5, –3, –5}
C)
Domain: {8, –7, 4}, Range: {13, 5, –3, –5}
D)
Domain: {13, 5, –3, –5}, Range: {8, –7, 4}
Determine if the relation is a function.
246)
Tips earned by servers at a restaurant one evening:
Mary $48
Lucy $38
Eric $24
Simon $48
Ruth $65
246)
A)
It is a function.
B)
It is not a function.
Solve.
247)
The cost, T, in hundreds of dollars, of tuition at one community college is given by T = 2 + 1.25c,
where c is the number of credits for which a student registers. Graph the equation and use the
graph to estimate the cost of tuition if a student registers for 13 credits.
247)
A)
About $2300
B)
About $1825
C)
About $1500
D)
About $2700
State the quadrant in which the point is located.
248)
(16, 9)
248)
A)
I
B)
II
C)
III
D)
IV
Provide an appropriate response.
249)
What is the equation of a horizontal line through (0, -3)?
249)
A)
x =-3
B)
y =-3
C)
y = 0
D)
x = 0
89
Solve.
250)
During the month of January 1997, the depth, d, of snow in inches at the base of one ski resort could
be approximated by d = -2t + 68, where t is the number of days since December 31st. Graph the
equation and use the graph to estimate the depth of snow on January 26th.
250)
A)
42 inches
B)
21 inches
C)
16 inches
D)
24 inches
Find the value of the function.
251)
Given f(x) =3x2– 4x – 2, find f(-6).
251)
A)
102
B)
130
C)
4
D)
132
Determine if the relation is a function.
252)
A store’s “Employee of the Month” for various months:
Thompson April
McGraw May
Robinson June
Thompson July
Martinez August
252)
A)
It is a function.
B)
It is not a function.
Graph. Note that the equation is in standard form.
253)
x – y =2
253)
90
A)
B)
C)
D)
Determine whether the relation is a function.
254)
{(4, 5), (5, 13), (4, 11), (2, 2)}
254)
A)
It is a function.
B)
It is not a function.
Determine whether the given lines are parallel, perpendicular, or neither.
255)
6x + 2y =8
12x + 4y =18
255)
A)
Parallel
B)
Perpendicular
C)
Neither
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
256)
m = – 3
2; 0, 19
2
256)
A)
y = – 3
2x –19
2
B)
y =3
2x –19
2
C)
y = – 3
2x +19
2
D)
y =3
2x +19
2
Provide an appropriate response.
257)
True or False? The ordered pair (-3, 4) determines a point in quadrant II with a horizontal
coordinate of -3 and a vertical coordinate of 4.
257)
A)
True
B)
False
Find the x– and y– intercepts.
258)
x =4
258)
A)
No x–intercept, (0, 4)
B)
No x–intercept, no y–intercept
C)
(4, 0), no y–intercept
D)
(-4, 0), no y–intercept
91
Graph. Note that the equation is not in standard form.
259)
y = x – 1
259)
A)
B)
C)
D)
Determine the slope and the y–intercept. Then graph the equation.
92
260)
4x – 5y =-23
260)
A)
m = – 4
5; y–intercept: 0, 13
5
B)
m = – 5
4; y–intercept: 0, 13
5
C)
m =4
5; y–intercept: 0, 23
5
D)
m = – 4
5; y–intercept: 0, 23
5
Determine whether the ordered pair is a solution for the linear inequality.
261)
(1, 2); 5x + 6y -7
261)
A)
Yes
B)
No
Plot and label the points indicated by the coordinate pairs.
93
262)
A(3, 1), B(-5, -4)
262)
A)
B)
C)
D)
94
Write the coordinates for each point.
263)
263)
A)
A(1, 1); B(3, 1)
B)
A(1, 3); B(1, -6)
C)
A(3, 18); B(1, -6)
D)
A(1, 3); B(-6, 1)
State whether the relation is a function.
264)
264)
A)
It is a function.
B)
It is not a function.
Graph. Note that the equation is in standard form.
265)
3x + 4y =24
265)
95
A)
B)
C)
D)
Determine whether the ordered pair is a solution for the equation.
266)
(2, 3); 5x + y =13
266)
A)
Yes
B)
No
Determine whether the ordered pair is a solution for the linear inequality.
267)
(-4, -1); y > –x +-2
267)
A)
Yes
B)
No
96
Graph the linear inequality.
268)
x + 4y 5
268)
A)
B)
C)
D)
97
State whether the relation is a function.
269)
This graph shows the amount of dissolved chlorine, in parts per million (ppm), at various times
during a chemical manufacturing process.
269)
A)
It is a function.
B)
It is not a function.
Determine the domain and range.
270)
270)
A)
Domain: {x|x
0}; range: all real numbers
B)
Domain: all real numbers; range: all real numbers
C)
Domain: {x|x -6}; range: {y|y 3}
D)
Domain: all real numbers; range: {y|y
0}
Determine whether the relation is a function.
271)
{(-6, -5), (-4, –9), (-1, -7), (4, -9)}
271)
A)
It is a function.
B)
It is not a function.
Use the given slope and coordinate of the y–intercept to write the equation of the line in slope–intercept form.
272)
m =1
3; (0, 4)
272)
A)
y =1
3x + 4
B)
y = – 1
3x + 4
C)
y =1
3x – 4
D)
y = – 1
3x – 4
Write the equation of a line in slope–intercept form with the given slope that passes through the given point.
273)
m = – 4
9; (4, 5)
273)
A)
y =– 4
9x + 9
61
B)
y =– 9
4x – 9
61
C)
y =– 4
9x +61
9
D)
y =– 4
9x –61
9
98
Write the equation of a line that passes through the given point and is perpendicular to the given line. Write the equation
in the form Ax + By = C, where A, B, and C are integers and A > 0.
274)
(-5, -9); y =1
3x +14
274)
A)
x –3y =22
B)
3x + y =-24
C)
3x – y =-6
D)
x +3y =-32
Plot and label the points indicated by the coordinate pairs.
275)
A(5, 0), B (0, –1)
275)
A)
B)
C)
D)
99
276)
A(1, 5), B(2, -2)
276)
A)
B)
C)
D)
100
Determine the y–intercept.
277)
277)
A)
(0, 0)
B)
(0, -4)
C)
no y–intercept
D)
(0, 4)
Graph.
278)
f(x) = |x – 2| + 7
278)
A)
B)
101
C)
D)
Solve.
279)
The function A described by A(r) = 4r2 gives the surface area of a sphere with radius r. Find the
surface area when the radius is 2 in. Round your answer to two decimal places. Use 3.1416 for .
279)
A)
75.4 in.2
B)
12.57 in.2
C)
50.27 in.2
D)
16 in.2
Write the equation of a line through the given points in the form Ax + By = C, where A, B, and C are integers and A > 0.
280)
(–1, 0), (0, –1)
280)
A)
x + y = –1
B)
x – y = –1
C)
x + y =1
D)
x – y =1
Write the equation of a line through the given points in slope–intercept form.
281)
(2, 0), (–6, 5)
281)
A)
y =– 5
8x + 5
4
B)
y =5
8x
C)
y =5
8x + 5
4
D)
y =– 5
8x
State the quadrant in which the point is located.
282)
(20, -6)
282)
A)
I
B)
II
C)
III
D)
IV
Use the graph to determine the value of the function.
283)
f(-3)
283)
A)
6
B)
0
C)
4
D)
2
102
Which equation’s graph has the steeper slope?
284)
y =1
3x – 1 or y =2
3x + 4
284)
A)
y =1
3x – 1
B)
y =2
3x + 4
103
Answer Key
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Answer Key
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Answer Key
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Answer Key
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