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Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
1)
To build a paverstone patio, Scot needs to purchase and have delivered several bundles of
stones. The home improvement store charges a flat delivery fee of $50 plus $0.75 per
bundle delivered. The bundles of stones cost $32 each.
i) Write an equation for the total cost, C, of the stones and the delivery for purchasing x
bundles of stones.
ii) Graph the equation for up to and including 50 bundles of stones.
iii) Estimate the total cost Scot must pay for 15 bundles of stones plus delivery.
iv) If the total cost of the stones and the delivery charge is $443, estimate how many
bundles of stones Scot purchased.
1)
2)
y =4x - 5 (0, -5), (-2, 3), (-1, -9), (1, -1)
2)
3)
-2x - y =6(0, -6), (1, -8), (-1, -4), (-2, 4)
3)
Solve the problem.
4)
The weekly profit, P, of a house cleaning service can be approximated by the formula
P = 70.5h -6100, where h is the number of houses cleaned each week.
i) Draw a graph of profit in terms of houses cleaned for up to and including 500 houses.
ii) Estimate the weekly profit if 300 houses are cleaned.
iii) Estimate the number of houses cleaned if the week's profit is $19,280.
4)
5)
9x + 7y = 0 (-7, 9), (0, 0), (1, 0), (7, -9)
5)
5
6)
y = x - 5 (1, 2), (3, -2), (-5, -10), (0, -5)
6)
7)
There are no exercises for this objective.
7)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the pair of lines are parallel, perpendicular, or neither.
8)
5 x + y =-13
-2x + y =1
8)
A)
parallel
B)
perpendicular
C)
neither
6
List the ordered pair corresponding to the point.
9)
L
9)
A)
(2, -41
2)
B)
(-41
2, -2)
C)
(-2, -41
2)
D)
(41
2, -2)
Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
10)
y = -x + 3 (9, y)
10)
A)
(9, -6)
B)
(9, -7)
C)
(9, 6)
D)
(9, 7)
Graph using the x- and y-intercepts.
11)
y =2x + 4
11)
7
A)
B)
C)
D)
8
Determine the equation of the line.
12)
12)
A)
y =- 6x - 3
B)
y =- 6x + 17
C)
y =- 1
6x - 4
19
D)
y =- 6x - 19
Graph by plotting points. Plot at least three points for the graph.
13)
y = - 1
2x - 1
13)
A)
B)
9
C)
D)
Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
14)
3x + y =-5 (x, 4)
14)
A)
(4, 4)
B)
(3, 4)
C)
(-3, -4)
D)
(-3, 4)
Determine whether the relation is also a function.
15)
{(-4, -3), (-1, -4), (2, 4), (7, -2)}
15)
A)
Function
B)
Not a function
Determine whether the pair of lines are parallel, perpendicular, or neither.
16)
4x - 8y = 11
64x + 16y = 17
16)
A)
parallel
B)
perpendicular
C)
neither
10
Solve the problem.
17)
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the polynomial equation C =0.5x +28,000. Find the cost of producing 80,000
jars.
17)
A)
$40,000
B)
$68,000
C)
$28.50
D)
$80,028
By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.
18)
18)
A)
m =-9
B)
m =9
C)
undefined
D)
m = 0
Graph by plotting points. Plot at least three points for the graph.
19)
2x +5y =-10
19)
11
A)
B)
C)
D)
Plot the point on the given axes.
20)
(-2, -3)
20)
12
A)
B)
C)
D)
Graph using the x- and y-intercepts.
21)
12y =8x -36
21)
13
A)
B)
C)
D)
Graph the equation.
22)
y =-4
22)
14
A)
B)
C)
D)
Evaluate the function at the indicated value.
23)
f(x) =8x + 1;f(-18)
23)
A)
-143.9
B)
-143
C)
145
D)
-145
15
Find the domain and range of the relation.
24)
{(1, -9), (-6, -8), (7, 9), (7, 5)}
24)
A)
D: {9, -9, -8, 5}; R: {7, 1, -6}
B)
D: {7, 1, -6, 17}; R: {9, -9, -8, 5}
C)
D: {7, 1, -6, -7}; R: {9, -9, -8, 5}
D)
D: {7, 1, -6}; R: {9, -9, -8, 5}
Determine which line (the first or the second) has the greater slope.
25)
25)
A)
The first line
B)
The second line
Graph the inequality.
26)
x + y <-4
26)
16
A)
B)
C)
D)
Solve the problem.
27)
A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per
gallon, whereas they sell 3907 gallons on a day that they charge $1.40 per gallon. Find a linear
equation that relates gallons sold to price.
27)
A)
y =-18,260x +29,449.2
B)
y =-18,260x +29,454.8
C)
y =-18,260x +29,471
D)
y =-18,260x +29,487
Determine whether the relation is also a function.
28)
{(-5, -9), (-2, -4), (4, -2), (4, 7)}
28)
A)
Function
B)
Not a function
Find the slope of the line through the given points.
29)
(-9, -8) and (-9, 5)
29)
A)
m =1
6
B)
undefined
C)
m =0
D)
m =13
18
List the ordered pair corresponding to the point.
30)
D
30)
A)
(3, 5)
B)
(5, 3)
C)
(4, -3)
D)
(-3, 4)
Graph the inequality.
31)
x - y >-6
31)
18
A)
B)
C)
D)
Determine the equation of the line.
32)
32)
A)
y =- 5
4x + 6
B)
y =4
5x + 6
C)
y =- 4
5x + 6
D)
y =6x - 4
5
By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.
33)
33)
A)
m = 1
B)
m = -1
C)
m =2
D)
m =-2
Write the equation of the line, with the given properties, in slope-intercept form.
34)
Slope =4, through (-5, -8)
34)
A)
y =4x + 12
B)
y + 8 = x + 5
C)
y + 8 =4(x + 5)
D)
y =4x - 12
Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
35)
20x +3y =14 1
2, y
35)
A)
1
2, 4
3
B)
1
2, 8
C)
1
2, 5
8
D)
1
2, 4
Determine the equation of the line.
36)
36)
A)
y =- 1
2x
B)
y =1
2x
C)
y =2x
D)
y =- 2x
Indicate the quadrant in which the point belongs.
37)
(18, -19)
37)
A)
IV
B)
III
C)
I
D)
II
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
38)
(?, -2) for the equation 4x -4y =3
38)
A)
-9
B)
- 6
C)
- 11
4
D)
- 5
4
Graph by plotting points. Plot at least three points for the graph.
39)
y =1
2x + 2
39)
A)
B)
C)
D)
By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.
40)
40)
A)
m = - 1
2
B)
m =1
2
C)
m = - 2
D)
m = 2
Graph the inequality.
41)
2x + 3y -6
41)
23
A)
B)
C)
D)
Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.
42)
m1=- 1
4, m2=- 4
42)
A)
parallel
B)
perpendicular
C)
neither
Determine whether the ordered pair is a solution to the linear inequality.
43)
2x + 3y -3: (6, 6)
43)
A)
Yes
B)
No
24
Evaluate the function at the indicated value.
44)
f(x) =x2+ 7
x3- 2x;f(4)
44)
A)
23
62
B)
2
7
C)
23
64
D)
23
56
Graph the inequality.
45)
y -6- 5x
45)
A)
B)
C)
D)
Solve the problem.
46)
A phone company charges $40 per month plus 8 cents per minute for long distance calls. The
monthly bill is modeled by f =0.08m +40, where m represents the number of long distance minutes
used and f represents the total monthly bill. Graph this function for monthly long distance minutes
up to and including 120 minutes.
46)
A)
B)
C)
D)
26
Evaluate the function at the indicated value.
47)
f(x) =x2+ 5x + 6;f(-1)
47)
A)
2
B)
12
C)
0
D)
-10
Find the value of the missing coordinate that makes the ordered pair a solution to the equation.
48)
y = -x (-2, y)
48)
A)
(-2, -2)
B)
(2, -2)
C)
(-2, 0)
D)
(-2, 2)
Solve the problem.
49)
The slope of a given line is -7. If a line is to be drawn perpendicular to the given line, what will be
its slope?
49)
A)
-7
B)
1
7
C)
- 1
7
D)
7
Write the equation of the line, with the given properties, in slope-intercept form.
50)
Through (2, -8) and (-8, -6)
50)
A)
y =1
5x - 38
5
B)
y + 8 =- 1
5(x - 2)
C)
y =- 5x - 5
38
D)
y =- 1
5x - 38
5
Determine whether the following graph is a function.
51)
51)
A)
Function
B)
Not a function
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
52)
(?, -3) for the equation 2x + y =4
52)
A)
- 6
B)
9
C)
7
2
D)
1
2
Determine whether the pair of lines are parallel, perpendicular, or neither.
53)
3x - 4y = 7
8x + 6y = -18
53)
A)
parallel
B)
perpendicular
C)
neither
Graph the inequality.
54)
y -1
54)
28
A)
B)
C)
D)
Solve the problem.
55)
The slope of a given line is 2. If a line is to be drawn parallel to the given line, what will be its
slope?
55)
A)
-2
B)
1
2
C)
2
D)
- 1
2
Graph by plotting points. Plot at least three points for the graph.
29
56)
y =-3x + 2
56)
A)
B)
C)
D)
30
Find the domain and range of the relation.
57)
{(-7, 9), (4, -1), (5, 8), (5, 6)}
57)
A)
D: {-7, 4, 5, -5}; R: {9, -1, 8, 6}
B)
D: {-7, 4, 5, 15}; R: {9, -1, 8, 6}
C)
D: {9, -1, 8, 6}; R: {-7, 4, 5}
D)
D: {-7, 4, 5}; R: {9, -1, 8, 6}
Graph the inequality.
58)
2x + 5y 10
58)
A)
B)
C)
D)
31
C)
D)
Graph the line with the given slope that goes through the given point.
59)
through (1, 2) with slope undefined
59)
A)
B)
C)
D)
Write the equation of the line, with the given properties, in slope-intercept form.
60)
Slope =-4, through (-5, 5)
60)
A)
y =-4x - 15
B)
y - 5 =-4x + 5
C)
y - 5 = x + 5
D)
y =-4x + 15
Determine the equation of the line.
61)
61)
A)
y + 4 =9
5(x + 3)
B)
y =- 9
5x + 7
5
C)
y =9
5x + 7
5
D)
y =9
5x - 7
5
Indicate the quadrant in which the point belongs.
62)
(-18, -12)
62)
A)
IV
B)
I
C)
III
D)
II
Determine the slope and y-intercept of the line represented by the given equation.
63)
6x -11y =66
63)
A)
m =6; y-intercept is (0, 66)
B)
m =11
6; y-intercept is (0, 11)
C)
m =- 6
11 ; y-intercept is (0, 6)
D)
m =6
11; y-intercept is (0, -6)
64)
y =- 9x - 1
64)
A)
m =- 1
9; y-intercept is (0, 1)
B)
m =- 1; y-intercept is (0, - 9)
C)
m =9; y-intercept is (0, 1)
D)
m =- 9; y-intercept is (0, - 1)
Indicate the quadrant in which the point belongs.
65)
(-9, 20)
65)
A)
III
B)
II
C)
I
D)
IV
Determine the slope and y-intercept of the line represented by the given equation.
66)
11x + y =12
66)
A)
m =11; y-intercept is (0, 12)
B)
m=-11; y-intercept is (0, 12)
C)
m =- 1
11 ; y-intercept is (12
11 , 0)
D)
m =11
12; y-intercept is (0, 1
12 )
34
Indicate the quadrant in which the point belongs.
67)
(-5
6, 1
2)
67)
A)
II
B)
I
C)
IV
D)
III
Determine whether the following graph is a function.
68)
68)
A)
Function
B)
Not a function
Indicate the quadrant in which the point belongs.
69)
(16, 11)
69)
A)
II
B)
I
C)
III
D)
IV
Determine which line (the first or the second) has the greater slope.
70)
70)
A)
The first line
B)
The second line
Determine whether the ordered pair is a solution to the linear inequality.
71)
x + 2y >-3: (6, -4)
71)
A)
Yes
B)
No
Graph by plotting points. Plot at least three points for the graph.
72)
2y - 14x =6
72)
36
A)
B)
C)
D)
Plot the points. Then determine whether the points are collinear.
73)
A(3, 5), B(1, 0), C(-3, -6), D(-2, -3)
73)
37
A)
The points are collinear
B)
The points are not collinear
C)
The points are not collinear
D)
The points are collinear
Determine the equation of the line.
74)
74)
A)
y =2x
B)
y = -2x + 4
C)
y =1
2x + 4
D)
y =2x + 4
Write the equation represented by the given graph.
75)
75)
A)
x =- 7
2
B)
y =- 7
2x
C)
x =7
2
D)
y =- 7
2
Determine whether the pair of lines are parallel, perpendicular, or neither.
76)
3x - 8y = 9
32x + 12y = 16
76)
A)
parallel
B)
perpendicular
C)
neither
Write the equation of the line, with the given properties, in slope-intercept form.
77)
Slope =-4, through (7, 4)
77)
A)
y - 4 =-4(x - 7)
B)
y - 4 = x - 7
C)
y =-4x + 32
D)
y =-4x - 32
Determine whether the relation is also a function.
78)
{(3, 9), (3, -3), (4, -5), (9, -2), (11, -5)}
78)
A)
Function
B)
Not a function
Determine whether the ordered pair is a solution to the linear inequality.
79)
y > -x + 3: (-2, 6)
79)
A)
Yes
B)
No
Determine whether the relation is also a function.
80)
{(-7, -8), (-7, 8), (-1, -8), (3, 4), (7, -2)}
80)
A)
Function
B)
Not a function
Use the vertical line test to determine whether the relation is also a function. Then state the domain and range of the
relation or function.
81)
81)
A)
Function, D: {-1}, R: ( , )
B)
Not a function, D: {-1}, R: ( , )
Determine whether the pair of lines are parallel, perpendicular, or neither.
82)
12x + 4y = 16
9x + 3y = 14
82)
A)
parallel
B)
perpendicular
C)
neither
Evaluate the function at the indicated value.
83)
f(x) =8x - 9;f(-4)
83)
A)
-23
B)
4
C)
-41
D)
-1
Determine whether the pair of lines are parallel, perpendicular, or neither.
84)
10x +2y =6
4x =20y +13
84)
A)
neither
B)
parallel
C)
perpendicular
Graph the inequality.
41
85)
y 4- x
85)
A)
B)
C)
D)
Evaluate the function at the indicated value.
86)
f(x) =2x2- 3x + 4;f(4)
86)
A)
8
B)
24
C)
48
D)
16
Find the slope of the line through the given points.
87)
1, 7
6 and - 7
8, 2
87)
A)
m =4
9
B)
m =- 9
4
C)
m =- 144
49
D)
m =- 4
9
Determine whether the ordered pair is a solution to the linear inequality.
88)
x - y -7: (-5, 1)
88)
A)
Yes
B)
No
Solve the problem.
89)
The polynomial P =0.35x - 84 models the relationship between the number of pretzels x that a
certain vendor sells and the profit the vendor makes. Find the profit the vendor makes from selling
1000 pretzels.
89)
A)
$434
B)
$266
C)
$350
D)
$916
Determine the slope and y-intercept of the line represented by the equation. Graph the line using the slope and
y-intercept.
43
90)
y =1
2x + 1
90)
A)
m = - 1
2, y-intercept is (0, 1)
B)
m =1
2, y-intercept is (0, -1)
C)
m =1
2, y-intercept is (0, 1)
D)
m =1
2, y-intercept is (0, 2)
Determine the equation of the line.
91)
91)
A)
y =-4x
B)
y =-4x + 3
5
C)
y =5
3x - 4
D)
y =3
5x - 4
Find the slope of the line through the given points.
92)
(-5, -2) and (4, -2)
92)
A)
m =4
B)
m =- 4
9
C)
m = 0
D)
undefined
Determine the slope and y-intercept of the line represented by the equation. Graph the line using the slope and
y-intercept.
93)
3x - 4y =-2
93)
45
A)
m =- 3
4, y-intercept is (0, - 1
2)
B)
m =4
3, y-intercept is (0, - 2
3)
C)
m =- 3
4, y-intercept is (0, 1
2)
D)
m =3
4, y-intercept is (0, 1
2)
Find the domain and range of the relation.
94)
{(-7, -4), (-7, 8), (8, -9), (4, -6), (-3, 5)}
94)
A)
D: {-6, -9, 5, 8, -4}; R: {4, 4, 8, -3, -7}
B)
D: {4, -3, 8, -3, -7}; R: {-6, -9, 5, 8, -4}
C)
D: {4, 13, 8, -3, -7}; R: {-6, -9, 5, 8, -4}
D)
D: {4, 8, -3, -7}; R: {-6, -9, 5, 8, -4}
Graph the inequality.
46
95)
-3x - 5y 15
95)
A)
B)
C)
D)
Graph the function.
47
96)
f(x) =-3x + 1
96)
A)
B)
C)
D)
Graph the line with the given slope that goes through the given point.
48
97)
through (7, 4) with m =-4
97)
A)
B)
C)
D)
Solve the problem.
98)
In 1995 the United States recovered 27% of its municipal wastes through recycling, up from 17% in
1990. Find a linear equation that fits this data. Use this equation to predict the percentage recycled
in 2004.
98)
A)
45%
B)
46.7%
C)
43.1%
D)
41.4%
Find the slope of the line through the given points.
99)
(-2, 9) and (3, -3)
99)
A)
m =6
B)
m =- 5
12
C)
m =- 12
5
D)
m =12
5
Graph the inequality.
100)
x >2
100)
A)
B)
50
C)
D)
Graph the equation.
101)
x =-4
101)
A)
B)
51
C)
D)
Determine the slope and y-intercept of the line represented by the equation. Graph the line using the slope and
y-intercept.
102)
y = - 3
5x + 3
102)
A)
m = - 5, y-intercept is (0, 3)
B)
m = - 3
5, y-intercept is (0, 4)
52
C)
m =3
5, y-intercept is (0, 3)
D)
m = - 3
5, y-intercept is (0, 3)
Determine the equation of the line.
103)
103)
A)
y =1
4x
B)
y =- 1
4x
C)
y =- 4x
D)
y =4x
List the ordered pair corresponding to the point.
104)
J
104)
A)
(0, -3)
B)
(-3, 0)
C)
(3, 0)
D)
(0, 3)
Graph using the x- and y-intercepts.
105)
y =-4x +3
105)
A)
B)
54
C)
D)
Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.
106)
m1= 0, m2= 0
106)
A)
parallel
B)
perpendicular
C)
neither
Determine the equation of the line.
107)
107)
A)
y =-5x
B)
y =-5x - 9
C)
y =-9
D)
y =- 1
5x - 9
List the ordered pair corresponding to the point.
108)
B
108)
A)
(-3, 4)
B)
(4, 3)
C)
(3, 4)
D)
(4, -3)
Determine whether the pair of lines are parallel, perpendicular, or neither.
109)
9x + 3y = 12
6x + 2y = 12
109)
A)
parallel
B)
perpendicular
C)
neither
110)
y =1
4x -4
3y =9x +5
110)
A)
parallel
B)
perpendicular
C)
neither
Use the vertical line test to determine whether the relation is also a function. Then state the domain and range of the
relation or function.
111)
111)
A)
Function, D: ( , 2], R: ( , )
B)
Not a function, D: ( , 2], R: ( , )
Find the slope of the line through the given points.
112)
(-9, -10) and (8, 11)
112)
A)
m =17
21
B)
m =21
17
C)
m =- 21
17
D)
m =- 1
Graph the inequality.
113)
x + 2y 1
113)
57
A)
B)
C)
D)
Solve the problem.
114)
The total revenues, R, (in dollars) for a hot dog vendor selling x hot dogs is given by the polynomial
function R =2x. Find the total revenue in selling 60 hot dogs.
114)
A)
$720.00
B)
$12.00
C)
$120.00
D)
$1200.00
115)
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620
on that exam. Persons taking a 70-hour review course average a score of 775. Find a linear equation
which fits this data, and which relates score to review time. Use this equation to predict an average
score for persons taking a 58-hour review course. Round your answer to the tenths place.
115)
A)
721.2
B)
728.5
C)
742.5
D)
732.7
Write the equation of the line, with the given properties, in slope-intercept form.
116)
Slope =1
2, y-intercept is (0, 4)
116)
A)
y = - 1
2x + 4
B)
y =1
2x - 4
C)
y =1
2x + 4
D)
y = - 1
2x - 4
Solve the problem.
117)
A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per
gallon, whereas they sell 3852 gallons on a day that they charge $1.40 per gallon. Find a linear
equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at
a price of $1.16 per gallon.
117)
A)
8498.4 gallons
B)
8502.5 gallons
C)
8507.4 gallons
D)
8495.1 gallons
Graph by plotting points. Plot at least three points for the graph.
118)
4x +3y =24
118)
A)
B)
59
C)
D)
Determine the slope and y-intercept of the line represented by the equation. Graph the line using the slope and
y-intercept.
119)
y =2x - 1
119)
A)
m = -2, y-intercept is (0, -1)
B)
m =2, y-intercept is (0, -1)
60
C)
m =1
2, y-intercept is (0, 1)
D)
m = - 1
2, y-intercept is (0, 1)
Solve the problem.
120)
The monthly cost, C, of a certain long distance service is given by the linear function C =0.05t +3.95
where C is in dollars and t is the amount of time in minutes called in a month. Find the cost of
calling long distance for 140 minutes in a month.
120)
A)
$7.00
B)
$9.95
C)
$17.95
D)
$10.95
Find the slope of the line through the given points.
121)
(6, 8) and (4, 3)
121)
A)
m =2
5
B)
m =- 5
2
C)
m =11
10
D)
m =5
2
Indicate the quadrant in which the point belongs.
122)
(6
7, -2
7)
122)
A)
IV
B)
II
C)
III
D)
I
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7
