Name__________________________Class____________Date________
1 Which of the following graphs represents
a linear function?
4
y
H x y 20 2x
O
–4
F x7y
G 21x y
2
A
2 Which function is NOT linear?
–2
2
4x
–2
J y 30 x2
–4
4
3 Which of the following sets of ordered pairs
could NOT be part of a linear function?
y
A (0, 1), (1, 2), (3, 4)
2
B
B (2, 10), (4, 20), (6, 30)
–4
–2 O
2
4x
–2
C (3, 10), (4, 17), (6, 37)
D (3, 6), (5, 10), (7, 14)
–4
4 Which situation CANNOT be represented
by a linear function?
y
2
C
–4
–2 O
2
4x
–2
G A student collects 15 pounds of cans
every 2 weeks for a fundraiser.
–4
4
H A writer uses twice as many pencils each
week as he did the week before.
y
J A teacher writes down a check mark
for every 15 minutes her students
read silently.
2
D
–4
–2 O
F A worker’s monthly earnings include a
bonus of $25 and pay at a rate of $6 per
hour he worked that month.
2
4x
–2
–4
5 Which of the following sets of ordered pairs
can be part of a linear function?
A (1, 1), (12, 2), (2, 12)
B (1, 1), (0, 2), (2, 2)
C (2, 1), (0, 5), (1, 8)
D (3, 9), (2, 8), (5, 125)
42
LESSON 14
■
Identifying Linear Functions
TAKS Review and Preparation Workbook
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
4
Name__________________________Class____________Date________
1 Which function includes the data set
{(3, 6), (4, 8), (8, 16)}?
4 Which points are included in the function
y x 8?
A yx3
F (0, 8), (1, 9), (1, 7)
B y x2
G (2, 6), (3, 11), (1, 7)
C yx6
J (2, 10), (4, 12), (5, 13)
H (3, 5), (4, 4), (9, 1)
D y 2x
5 Which graph represents the function
y 15x 3?
2 What is the equation of the line shown?
4
4
y
2
A
2
–4
–2 O
y
2
–4
–2 O
2
4x
2
4x
2
4x
2
4x
–2
4x
–4
–2
–4
4
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
F y 12x 2
G y 21x 2
y
2
B
–4
–2 O
–2
H y 2x 2
–4
J y 2x 2
4
3 Rebecca and Carlos sold posters for a school
fundraiser. Rebecca sold four more than half
the number of posters that Carlos sold.
Which equation could represent the number
of posters Rebecca sold in terms of the
number Carlos sold?
2
C
–4
–2 O
–2
–4
A r 12c 4
4
B r 2c 8
C r 2c 8
y
y
2
D
–4
–2 O
–2
D r 21c 4
–4
TAKS Review and Preparation Workbook
LESSON 15
■
Representing Linear Functions
45
Name__________________________Class____________Date________
1 What is the slope of the line containing the
data points shown in the table?
4 Which line on the graph has a slope of 32?
q
x
y
0
5
1
1
2
7
r
s
y
8
t
6
4
A 6
2
B 1
O
2
C 5
D 6
4
6
8
x
F q
G r
2 Find the slope of the linear function.
H s
J t
x 2y 6
F 21
G 2
5 Determine the slope of the line.
H 2
y
2
3 What is the slope of the linear function
shown in the following graph?
–4
–2 O
2
4x
–2
–4
y
8
6
A 9
B 3
2
O
2
4
6
8
x
C 13
D 19
A 3
B 3
C 13
D 13
48
LESSON 16
■
Slope as Rate of Change
TAKS Review and Preparation Workbook
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
4
J 12
Name__________________________Class____________Date________
1 The line segment of the graph shows the
wages earned by a cashier during a week.
Which of the following best describes the
slope of the line segment?
3 The graph shows the altitude of a car as
a driver descends a mountain. What is the
meaning of the x-intercept?
1500
y
1200
200
Altitude (feet)
Money Earned ($)
y
150
100
50
O
8
16
24
900
600
300
O
32 x
2
4
6
8
x
Time (hours)
Hours Worked
A The cashier earns $6 per hour.
B The cashier earns $6.25 per hour.
C The cashier earns $12 per hour.
D The cashier earns $12.50 per hour.
A The height at which the driver started
was 1500 ft.
B The height at which the driver stopped
was 6 feet above sea level.
C The driver descended at 300 ft an hour.
2 The graph shows the height of a candle as it
burns. Which of the following best describes
the y-intercept?
4 Some students collected the data below. They
will graph the data. What will the slope of the
graph represent?
y
16
Height (inches)
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
D The driver reached the base of the
mountain after 6 hours.
12
Month
Average Temperature (F)
8
January
42
February
56
March
70
April
84
4
O
2
4
6
8
x
Time (hours)
F The height of the candle before it burned
was 16 inches.
G The height of the candle after it burned
was 2 inches.
F The change in average temperature
per day.
G The change in average temperature
per month.
H The candle burned in 5 hours.
H The high temperature for the sampling
period.
J The candle burned at a rate of 3 inches
per minute.
J The range of temperatures for the
sampling period.
TAKS Review and Preparation Workbook
LESSON 17
■
Meanings of Slope and Intercepts
51
Name__________________________Class____________Date________
1 How does the graph of y 2x 3
compare to the graph of y 2x 3?
4 The graph of the line y x 3 is shown below.
4
A The graph of y 2x 3 will be shifted
down by 4 units.
2
B The graph of y 2x 3 will be shifted
up by 4 units.
C The graph of y 2x 3 will slope
down instead of up, but cross the y-axis at
the same point.
D The graph of y 2x 3 will slope
down, and be shifted down by 4 units.
y
–4
–2 O
2
4x
–2
–4
Which graph best represents this line if the
y-intercept is increased by 2 and the slope
remains constant?
4
y
2
2 Which equation represents the line shifted
3 units up from y 2x 1?
F
–4
–2 O
2
4x
2
4x
2
4x
2
4x
–2
F y 2x 4
G yx4
H yx1
J y 2x 2
4
y
G
–4
–2 O
–2
3 Which equation represents a line with slope
twice the slope in the graph of y 3x 5?
–4
A y 3x 10
B y 3x 7
4
C y 2x 10
2
D y 6x 5
H
–4
y
–2 O
–2
–4
4
y
2
J
–4
–2 O
–4
54
LESSON 18
■
Describing the Effects of Changes to Linear Graphs
TAKS Review and Preparation Workbook
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
2
Name__________________________Class____________Date________
1 Which is the equation of a line that has
a slope of 2 and a y-intercept of 3?
4 Which graph shows a line that has a slope
of 2 and a y-intercept of 1?
A y 2x 3
4
B y 3x 2
y
2
C y 2x 3
D y 2(x 3)
F
–4
–2
O 2
4x
–2
–4
2 Which linear equation goes through the
points (2, 7) and (3, 8)?
8
y
–4 O
y
2
G
4
–8
4
4
–4
–2 O
2
4x
2
4x
2
4x
–2
8x
–4
–4
–8
4
F yx1
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
G y 2x 7
H y 3x 1
y
2
H
–4
–2 O
–2
J yx3
–4
4
3 What is the equation of a line that has a
slope of 2 and goes through the point (3, 2)?
A y 2x 7
J
–4
B y 8x 2
–2
C y 2x 8
–4
D y 2x 8
TAKS Review and Preparation Workbook
–2 O
y
LESSON 19
■
Graphing and Writing Equations of Lines
57
Name__________________________Class____________Date________
1 What are the x- and y-intercepts of the line
in this graph?
x –8
–6
–4
O
–2
3 What is the x-intercept of the function
represented by 3(y 2) x 3?
A (0, 3)
B (3, 0)
–2
C (0, 9)
D (9, 0)
–6
–8
y
4 What are the x- and y-intercepts of
the function represented by y 13x 12?
A (6, 0) and (4, 0)
B (6, 0) and (0, 4)
F
C (0, 6) and (0, 4)
(21, 0) and (0, 32)
G (23, 0) and (0, 12)
D (0, 6) and (4, 0)
H (23, 0) and (0, 12)
2 What are the x- and y-intercepts of the
function graphed below?
2
4
6
8
(21, 0) and (0, 32)
x
5 What is the x-intercept of the function
represented by the table below?
–2
–4
x
y
2 3
1 2
–8
y
F (5, 0) and (0, 6)
G (5, 0) and (6, 0)
H (0, 5) and (0, 6)
J (0, 5) and (6, 0)
60
LESSON 20
■
0
1
1
0
A (0, 1)
B (1, 0)
C (1, 0)
D (0, 1)
Determining the Intercepts of Linear Functions
TAKS Review and Preparation Workbook
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
O
J
Name__________________________Class____________Date________
3 A phone company charges $30.00 per month
plus $0.10 for every minute of long distance
phone calls. The total charge is graphed below.
Total Monthly Charge ($)
1 Gwyneth’s school holds a fundraiser to
benefit organizations treating diabetes
patients. For each student who participates
in the fundraiser, the school donates $10.
In addition, the students obtain a pledge
of $7 from each donor they find. The graph
of Gwyneth’s contribution in terms of the
number of donors she finds is shown below.
Contribution per
Student ($)
y
80
60
y
40
30
20
10
O
40
20
O
2 4 6 8 x
Number of Donors
If the contribution of each donor were
increased to $9, how would the graph change?
2 4 6 8 x
Long Distance Call
Time (min)
Which of the following would increase the
charge per long distance minute to $0.20?
A Halving the y-intercept
B Doubling the y-intercept
C Halving the slope
A The slope would increase, causing the line
to rise more steeply.
D Doubling the slope
B The line would cross the y-axis at (0, 9)
rather than (0, 10).
4 Each month, Rebecca adds money to her
bank account. The amount of money in
Rebecca’s bank account is graphed below.
Money in Account ($)
D The slope would decrease, causing the
line to rise less steeply.
2 The line graphed below represents the
elevation of a car as it drives down a hill.
y
Elevation (m)
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
C The line would cross the x-axis at (9, 0).
400
300
200
100
O
2 4 6 8 x
Time (min)
What would be the meaning if the slope of
the line were doubled?
F The hill would be twice as tall.
G The hill would be half as tall.
H The car would be moving twice as fast.
J The car would be moving half as fast.
TAKS Review and Preparation Workbook
y
400
300
200
100
O
1 2 3 4 x
Time (months)
If the y-intercept of this graph were changed
to 75, what would change in the situation?
F Rebecca would have added $75 more to
her bank account each month.
G Rebecca would have started with $75 more
in her bank account.
H Rebecca would have started with $25 less
in her bank account.
J Rebecca would have added $25 less to her
bank account each month.
LESSON 21
■
Effects of Changing Slope and y-intercept
63
Name__________________________Class____________Date________
1 A phone company charges 12 cents per
minute of call. If Sophie made a call that
took 75 minutes using this plan, how much
did her call cost?
4 Steve bought 60 shares of stock for $5400.
How much would it cost for him to buy
80 shares?
F $1800
A $0.09
G $4050
B $0.16
H $6075
C $6.25
J $7200
D $9.00
2 Jake’s car used 18 gallons to drive 432 miles.
About how many gallons would be used to
drive 864 miles?
5 The mass of a block varies directly with its
volume. If a block with a volume of 100 cubic
centimeters has a mass of 2 kilograms, what
is the mass of a block with a volume of 350
cubic centimeters?
F 2 gallons
G 9 gallons
A 7 kg
H 36 gallons
B 3.5 kg
J 48 gallons
C 2 kg
3 In her first two weeks at work, Janie worked
50 hours. At this rate, how many hours will
she work in the next 9 weeks?
6 Eight students can enter a museum for $12.
How many students could enter the museum
for $28.50?
A 50 hours
B 225 hours
F 3
C 450 hours
G 12
D 900 hours
H 19
J 42
66
LESSON 22
■
Direct Variation and Proportional Change
TAKS Review and Preparation Workbook
Copyright © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
D 0.57 kg