A)
B)
C)
D)
117)
17x =-17
52
A)
B)
C)
D)
118)
2 · f(x) +2x =2+2x
53
A)
B)
C)
D)
If possible, determine the slope.
119)
x =3
A)
Not defined
B)
1
3
C)
D)
3
120)
y =– 1
6
A)
– 6
B)
Not defined
C)
D)
0
121)
9· f(x) + 5 = 0
A)
– 9
5
B)
Not defined
C)
D)
– 5
9
122)
1+ 3x =3+ 5x
A)
Not defined
B)
– 1
C)
D)
0
54
Tell whether the lines are “parallel”, “perpendicular”, or “neither.“
123)
3x – 8y =17
32x + 12y =17
A)
Neither
B)
Parallel
C)
Perpendicular
124)
3x – 4y =1
8x + 6y =1
A)
Parallel
B)
Neither
C)
Perpendicular
125)
12x + 4y =16
9x + 3y =14
A)
Perpendicular
B)
Parallel
C)
Neither
126)
12x + 4y =16
18x + 6y =27
A)
Parallel
B)
Neither
C)
Perpendicular
127)
3x – 9y = – 11
27x + 12y = – 11
A)
Neither
B)
Perpendicular
C)
Parallel
128)
y +7=–4x
5y =20x –8
A)
Perpendicular
B)
Neither
C)
Parallel
129)
3x =2
3y =2
A)
Neither
B)
Perpendicular
C)
Parallel
Find a linear function whose graph has the given slope and y–intercept.
130)
Slope –5
7, y–intercept 0, 48
7
A)
f(x) =5
7x –48
7
B)
f(x) =5
7x +48
7
C)
D)
f(x) = – 5
7x –48
7
131)
Slope –6
5, y–intercept (0, 8)
A)
f(x) =6
5x – 8
B)
f(x) = – 6
5x + 8
C)
D)
f(x) =6
5x + 8
132)
Slope 5
4, y–intercept (0, -2)
A)
f(x) = – 5
4x – 2
B)
f(x) = – 5
4x + 2
C)
D)
f(x) =5
4x + 2
133)
Slope 1
3, y–intercept (0, 4)
A)
f(x) = – 1
3x – 4
B)
f(x) =1
3x – 4
C)
D)
f(x) = – 1
3x + 4
134)
Slope –7
8, y–intercept 13
2
A)
f(x) =
7
8x +
13
2
B)
f(x) = –
7
8x –
13
2
C)
D)
f(x) =
7
8x –
13
2
135)
Slope –
3
4, y–intercept 5
2
A)
f(x) = –
3
4x +
5
2
B)
f(x) =
3
4x +
5
2
C)
D)
f(x) =
3
4x –
5
2
136)
Slope –4
7, y–intercept 2
A)
f(x) = –
4
7x + 2
B)
f(x) = –
4
7x – 2
C)
D)
f(x) =
4
7x – 2
137)
Slope –
5
7, y–intercept 5
A)
f(x) =
5
7x + 5
B)
f(x) = –
5
7x + 5
C)
D)
f(x) = –
5
7x – 5
138)
Slope 2, y–intercept (0, –7)
A)
f(x) =2x + 2
B)
f(x) = – 7x – 2
C)
D)
f(x) =2x – 7
139)
Slope 3, y–intercept 0, –5
6
A)
f(x) = – 5
6x – 3
B)
f(x) =3x +5
6
C)
D)
f(x) =3x –5
6
Find an equation of the line having the specified slope and containing the indicated point. Write your answer in
slope–intercept form.
140)
m =-3; (8, –3)
A)
y =-3x + 22
B)
y =-3x + 21
C)
D)
y =3x + 20
141)
m =-5; (-9, 6)
A)
y =5x – 41
B)
y =-5x – 47
C)
D)
y =-5x – 39
D
142)
m =4; (0, 5)
A)
y =4x + 10
B)
y =4x + 5
C)
D)
y =4x + 12
B
143)
m =8; (0, -4)
A)
y =8x + 4
B)
y =-8x – 2
C)
D)
y =8x – 4
D
144)
m =4; (-4, 0)
A)
y =4x – 17
B)
y =-4x + 12
C)
D)
y =4x + 16
D
145)
m =1.1; (7, –2)
A)
y =1.1x + 5.7
B)
y =1.1x – 9.7
C)
D)
y =1.1x + 9.7
B
146)
m =–1
2; (3, -1)
A)
y =–1
2x +5
2
B)
y =–1
2x +1
C)
D)
y =1
2x –1
2
C
147)
m =-8; (0, 5.2)
A)
y =-8x + 5.2
B)
y =5.2x – 8
C)
D)
y =5.2x + 8
A
Find an equation of the line containing the given pair of points
148)
(5, 5) and (9, 17)
A)
y =-10x – 3
B)
y =3x – 10
C)
D)
y =-10x + 3
B
149)
(9, -53) and (10, -59)
A)
y =6x – 107
B)
y =-6x + 1
C)
D)
y =– 1
6x – 103
2
B
B
150)
(5, –5) and (–4, 4)
A)
y = x
B)
y = – x
C)
D)
y = – 4
5x
151)
(0, 0) and (5, –1)
A)
y =1
5x
B)
y = – 1
5x
C)
D)
y = – 5
1x
B
152)
(6, 0) and (0, –7)
A)
y = – 7
6x –7
B)
y = – 6
7x +6
C)
D)
y =7
6x –7
D
153)
(9, 3) and (4, 6)
A)
y =
6
5x + 42
5
B)
y =– 3
5x + 42
5
C)
D)
y =
3
5x + 42
5
B
154)
(6, 0) and (-5, -8)
A)
y =
8
11 x – 48
11
B)
y =– 6
11 x – 48
11
C)
D)
y =– 8
11 x – 48
11
A
155)
1, 5
8 and 8, 3
2
A)
y =8x – 4
B)
y =
1
8x + 1
2
C)
D)
y =
1
8x + 59
64
B
156)
1
5, 3
5 and –1
10 , 1
10
A)
y =– 5
3x
B)
y =
5
3x +
4
15
C)
D)
y =
5
3x
B
Write an equation of the line described.
157)
Through (–6, 0), parallel to 8x – 9y =-3
A)
y =
9
8x + 0
B)
y =– 8
9x – 16
3
C)
D)
y =
8
9x + 16
3
D
158)
Through (6, 3), parallel to -9x + 5y =-19
A)
y =
5
9x – 1
3
B)
y =– 19
5x – 19
5
C)
D)
y =
9
5x – 39
5
58
B
159)
Through (–4, 9), perpendicular to 5x + 3y =-47
A)
y =– 3
5x + 57
5
B)
y =
5
3x + 5
3
C)
D)
y =
3
5x + 57
5
160)
Through (2, 9), perpendicular to -7x + 5y =-4
A)
y =– 7
5x – 73
5
B)
y =
5
7x + 4
7
C)
D)
y =
5
7x – 73
7
161)
Through (-4, 5), perpendicular to x = – 2
A)
y =5
B)
y =-5
C)
D)
y =-4
Solve the problem.
162)
A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon,
whereas they sell 3850 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses
gallons sold as a function of price.
A)
G(p) =-19,400p +30,988.2
B)
G(p) =-19,400p +31,026
C)
G(p) =-19,400p +31,010
D)
G(p) =-19,400p +30,993.8
163)
A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon,
whereas they sell 3958 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses
gallons sold as a function of price. Use this function to predict the number of gallons sold at a price of $1.21 per
gallon.
A)
7242.6 gallons
B)
7237.7 gallons
C)
D)
7230.3 gallons
164)
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 765. Find a linear function S(t), which fits this data,
and which expresses score as a function of time.
A)
S(t) =3.625t +511.25
B)
S(t) =3.2625t –515.25
C)
S(t) =-3.625t +511.25
D)
S(t) =3.2625t +515.25
165)
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 789. Find a linear function, S(t), which fits this data,
and which expresses score as a function of time. Use this function to predict an average score for persons taking
a 58–hour review course. Round your answer to the tenths place.
A)
738.3
B)
752.3
C)
D)
731.0
166)
In 1995 the United States recovered 25% of its municipal solid wastes through recycling, up from 17% in 1990.
Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits
this data.
A)
P(t) =-1.6t + 7
B)
P(t) =0.8t – 17
C)
D)
P(t) =1.6t + 24
167)
In 1995 the United States recovered 22% of its municipal wastes through recycling, up from 17% in 1990. Let P
represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits this
data. Use this function to predict the percentage recycled in 2002.
A)
30.7%
B)
25.4%
C)
D)
27.1%
168)
The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total
sales after 28 months.
A)
$78,792
B)
$78,720
C)
D)
$78,750
D
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
169)
Without making a drawing, explain why the graph of the equation y = x – 5 passes through three quadrants.
170)
Explain in your own words why equations of the form y = b have graphs that are horizontal lines.
171)
Why is the slope of a horizontal line zero?
172)
Why is the slope of a vertical line undefined?
y1–y2
y1–y2
173)
Explain why the order in which coordinates are subtracted to find slope does not matter as long as
x–coordinates are subtracted in the same order as y–coordinates.
174)
If one line has a slope of –3 and another line has a slope of –6, which line is steeper? Why?
175)
Can an equation of a vertical line be written in slope–intercept form?
176)
Can the point–slope equation be used to write an equation of a vertical line? Why or why not?
177)
Describe a situation in which point–slope form would be more useful.
C
178)
The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989
and 200,000 in 1992. Does a linear equation fit this data? Why or why not?