®
STAAR
State of Texas
Assessments of
Academic Readiness
Algebra I
Administered May 2022
RELEASED
Copyright © 2022, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express
written permission from the Texas Education Agency.
Form 01
Form 01
()
yy
xx
yy
()
ab
()
FACTORING
1
)
m
k
STAAR ALGEBRA I
REFERENCE MATERIALS
State of Texas
Assessments of
Academic Readiness
STAAR
®
Perfect square trinomials
aabb ab
2 2 2
2 2 2
2 −
−
−
−
−
−
−
−
−
−
aabb ab
2
()
Difference of squares
2 2
PROPERTIES OF EXPONENTS
Product of powers
aa a
m n
Quotient of powers
a
a
a
n
m − n
Power of a power
()aa
m n mn
Rational exponent
aa
m
n
m
n
Negative exponent
a
a
n
n
1
LINEAR EQUATIONS
Standard form
Ax By C
Slope-intercept form
ymxb
Point-slope form
m
1
(x x
Slope of a line
m
2 1
2 1
QUADRATIC EQUATIONS
Standard form
fx ax bx c()
2
Vertex form
fx ax h()
2
Quadratic formula
x
bb
ac
a
2
4
2
Axis of symmetry
x
b
a
2
−
(a b)(a b)
−
−
()
m + n
Form 01
Form 01
Form 01
Form 01
ALGEBRA I
Algebra I
Page 7
GO ON
Algebra I
Page 8
Form 01
DIRECTIONS
Read each question carefully. For a multiple-choice question,
determine the best answer to the question from the four answer
choices provided. For a griddable question, determine the best
answer to the question. Then ll in the answer on your
answer document.
1 The graph of quadratic function r is shown on the grid.
y
−
6
−
8
−
10
−
12
−
14
−
2
−
4 24
6
x
−
4
−
6
−
8
−
10
−
2
2
4
6
8
10
Which answer choice best represents the intercepts of the graph of r?
A x-intercept: (5, 0)
y-intercepts: (0, 10) and (0, −2)
B x-intercepts: (0, −10) and (0, 2)
y-intercept: (−5, 0)
C x-intercept: (0, 5)
y-intercepts: (10, 0) and (−2, 0)
D x-intercepts: (−10, 0) and (2, 0)
y-intercept: (0, −5)
11369
GO ON
Algebra I
Page 9
Form 01
2 A worker is packing items in boxes. The table shows the linear
relationship between the number of items the worker has packed in
boxes after different amounts of time.
Items Packed in Boxes
Number of Minutes Number of Items Packed
5 20
7 28
11 44
14 56
Which statement describes the rate of change of the number of items
the worker packed in boxes with respect to the number of minutes the
worker has been packing items in boxes?
F The worker packed 8 items in boxes per minute.
G The worker packed 37 items in boxes per minute.
H The worker packed 4 items in boxes per minute.
J The worker packed 15 items in boxes per minute.
11139
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Algebra I
Page 10
Form 01
3 A system of equations is graphed on the grid.
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
9
−
10 2345678910
x
−
5
−
4
−
6
−
7
−
8
−
9
−
10
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
10
y
Which system of equations is best represented by the graph?
A y =
2
5
x − 8
y = −
3
5
x − 3
B y =
2
5
x − 3
y = −
3
5
x − 8
C y =
5
2
x − 8
y = −
5
3
x − 3
D y =
5
2
x − 3
y = −
5
3
x − 8
11276
GO ON
Algebra I
Page 11
Form 01
4 Which graph represents y as a function of x?
F
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
92345678
9
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
H
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
92345678
9
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
G
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
92345678
9
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
J
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
92345678
9
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
11091
GO ON
Algebra I
Page 12
Form 01
5 What is the solution to this system of equations?
2x + y = 40
x − 2y = −20
A (12, 16)
B (15, 17.5)
C There is no solution.
D There are an innite number of solutions.
10365
GO ON
Algebra I
Page 13
Form 01
6 Which graph best represents a quadratic function with a range of all
real numbers greater than or equal to 3?
F
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
H
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
G
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
J
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
11317
GO ON
Algebra I
Page 14
Form 01
7 The value of y is directly proportional to the value of x. When x = 512,
y = 128.
What is the value of y when x = 64?
A 256
B 32
C 16
D 8
11257
GO ON
Algebra I
Page 15
Form 01
8 A customer is buying bath towels and hand towels and can spend no
more than $100. Each bath towel costs $8, and each hand towel costs
$5. The inequality 8x + 5y ≤ 100 represents all possible combinations
of x, the number of bath towels, and y, the number of hand towels the
customer can buy.
Which graph best represents the solution set for this inequality?
F
28
24
20
16
12
8
4
0
4812 142610
y
x
Buying Towels
Number of Bath Towels
Number of Hand Towels
H
28
24
20
16
12
8
4
0
y
x
Buying Towels
Number of Bath Towels
Number of Hand Towels
4812 142610
G
28
24
20
16
12
8
4
0
y
x
Buying Towels
Number of Bath Towels
Number of Hand Towels
4812 142610
J
28
24
20
16
12
8
4
0
y
x
Buying Towels
Number of Bath Towels
Number of Hand Towels
4812 142610
11162
GO ON
Algebra I
Page 16
Form 01
9 An exponential function is graphed on the grid.
3
4
2
1
−
1
5
6
7
8
9
10
11
12
13
14
15
16
17
y
−
11
−
2
−
3
−
4234
x
Which function is best represented by the graph?
A p(x) = (0.25)
x
B p(x) = 2(0.5)
x
C p(x) = (1.25)
x
D p(x) = (25)
x
11433
GO ON
Algebra I
Page 17
Form 01
10 Which expression is equivalent to (n − 4)(2n + 7)?
F 3n + 3
G n − 28
H 2n
2
− 15n − 28
J 2n
2
− n − 28
11053
11 Which situation shows causation?
A When the number of people in a bus increases, the number of
animals in a zoo also increases.
B When the number of hours worked each week by an hourly
employee decreases, the amount of money earned by the
employee also decreases.
C When the amount of a discount for a sale increases, the number
of items sold during the sale decreases.
D When the number of bike trails in a city decreases, the amount
of rainfall in the city increases.
11205
GO ON
Algebra I
Page 18
Form 01
12 A system of linear equations is represented by line h and line j.
A table representing some points on line h and the graph of line j
are shown.
Line h
x −16 −8 −4 12
y 7 1 −2 −14
−
2
−
4
−
6
−
8
−
10 246810
x
−
4
−
6
−
8
−
10
−
2
2
4
6
8
10
y
j
Which system of equations is best represented by lines h and j?
F y =
4
3
x − 5
y =
4
5
x + 1
G y =
3
4
x − 5
y =
5
4
x + 1
H y = −
4
3
x − 5
y = −
4
5
x + 1
J y = −
3
4
x − 5
y = −
5
4
x + 1
11287
GO ON
Algebra I
Page 19
Form 01
13 Which answer choice describes how the graph of f(x) = x
2
was
transformed to create the graph of n(x) = x
2
− 1?
A A vertical shift up
B A horizontal shift to the left
C A vertical shift down
D A horizontal shift to the right
11377
14 The expression d
2
− d − 6 can be written in factored form as
(d + 2)(d + k), where k represents a number. What is the value of k?
Record your answer and ll in the bubbles on your answer document.
11063
GO ON
Algebra I
Page 20
Form 01
15 The graph of a linear function is shown on the grid.
−
10
−
12 246810 12
−
2
−
4
−
6
−
8
6
8
10
12
−
4
−
6
−
8
−
10
−
12
−
2
2
4
y
x
Which equation is best represented by this graph?
A y = −
7
4
x + 4
B y = −
7
4
x + 7
C y = −
4
7
x + 4
D y = −
4
7
x + 7
11243
GO ON
Algebra I
Page 21
Form 01
16 Which expression is equivalent to
c
8
(d
6
)
3
c
2
for all values of c for which
the expression is dened?
F c
4
d
9
G c
4
d
18
H c
6
d
9
J c
6
d
18
11083
17 Which value of x is the solution to this equation?
5x
2
= 30x − 45
A x = 3
B x = −3
C x = 5
D x = −5
11396
GO ON
Algebra I
Page 22
Form 01
18 A orist is making bouquets of owers for a wedding. Each bouquet
will have 9 owers. The graph shows the linear relationship between
y, the number of owers used, and x, the number of bouquets.
2468100
90
72
54
36
18
Wedding
Number of Bouquets
Number of Flowers
x
y
The orist will use no more than 8 bouquets for the wedding. Which
set best represents the domain of the function for this situation?
F {0, 2, 4, 6, 8, 10}
G {0, 1, 2, 3, 4, 5, 6, 7, 8}
H {0, 18, 36, 54, 72, 90}
J {0, 9, 18, 27, 36, 45, 54, 63, 72}
11232
GO ON
Algebra I
Page 23
Form 01
19 The graph of a line is shown on the grid. The coordinates of both
points indicated on the graph of the line are integers.
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
9
−
10 2345678910
x
−
5
−
4
−
6
−
7
−
8
−
9
−
10
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
10
y
What is the rate of change of y with respect to x for this line?
A
5
2
B −
6
5
C
2
3
D −
5
6
11121
20 What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)
x
?
Record your answer and ll in the bubbles on your answer document.
11431
GO ON
Algebra I
Page 24
Form 01
21 Which expression is equivalent to
8.8 × 10
9
2.2 × 10
−3
?
A 4 × 10
12
B 4 × 10
6
C 4 × 10
−3
D 4 × 10
−6
11088
22 A person dives into a pool from its edge to swim to the other side.
The table shows the depth in feet of the person from the surface
of the water after x seconds. The data can be modeled by a
quadratic function.
Pool
Time, x (seconds)
Depth of Person from
Surface of Water, d(x) (feet)
1 −2.85
4 −8.28
6
−9.3
8.5 −7.65
10 −5.1
11.5 −1.38
Which function best models the data?
F d(x) = 0.05x
2
+ 0.74x
G d(x) = 0.05x
2
+ 0.74x + 9.17
H d(x) = 0.26x
2
− 3.11x
J d(x) = 0.26x
2
− 3.11x + 1
11407
GO ON
Algebra I
Page 25
Form 01
23 Which expression is equivalent to (5rt − 3rw − 8tw) + (6rt − 4rw + 2tw)?
A 11rt + rw − 10tw
B 11rt − 7rw − 6tw
C 11rt + rw − 6tw
D 11rt − 7rw − 10tw
11049
GO ON
Algebra I
Page 26
Form 01
24 The solutions to p(x) = 0 are x = −7 and x = 7. Which quadratic
function could represent p?
F p(x) = x
2
− 49
G p(x) = x
2
+ 49
H p(x) = x
2
− 14
J p(x) = x
2
+ 14
11337
GO ON
Algebra I
Page 27
Form 01
25 Two points are plotted on the grid.
−
11
−
2
−
3
−
4
−
5
−
6
−
7234567
x
y
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
Which equation in slope-intercept form best represents the line that
passes through these two points?
A y = −
2
3
x −
11
3
B y = −
11
3
x −
2
3
C y = −
2
3
x −
10
3
D y = −
10
3
x −
2
3
11223
GO ON
Algebra I
Page 28
Form 01
26 The table shows the value in dollars of a motorcycle at the end
of x years.
Motorcycle
Number of Years, x 0 1 2 3
Value, v(x) (dollars) 9,000 8,100 7,290 6,561
Which exponential function models this situation?
F v(x) = 9,000(1.1)
x
G v(x) = 9,000(0.9)
x
H v(x) = 8,100(1.1)
x
J v(x) = 8,100(0.9)
x
11409
27 What is the positive solution to x
2
+ 9x − 22 = 0?
Record your answer and ll in the bubbles on your answer document.
10394
GO ON
Algebra I
Page 29
Form 01
28 A university will spend at most $4,500 to buy monitors and keyboards
for a computer lab. Each monitor will cost $250, and each keyboard
will cost $50.
Which inequality represents all possible combinations of x, the number
of monitors, and y, the number of keyboards, the university can buy
for the computer lab?
F 250x + 50y < 4,500
G 250x + 50y ≤ 4,500
H 50x + 250y < 4,500
J 50x + 250y ≤ 4,500
11254
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Algebra I
Page 30
Form 01
29 A construction manager is monitoring the progress of the build of a
new house. The scatterplot and table show the number of months
since the start of the build and the percentage of the house still left to
build. A linear function can be used to model this relationship.
y
x
New House
Percentage of House Left to Build
Number of Months Since
Start of Build
100
90
80
70
60
50
40
30
20
10
123456789
0
Number of
Months Since
Start of Build, x
Percentage of
House Left
to Build, y
0
1
2
3
4
5
100
59
86
65
41
34
Which function best models the data?
A y = −13.5x + 97.8
B y = −13.5x + 7.3
C y = 97.8x − 13.5
D y = 7.3x − 97.8
11210
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Algebra I
Page 31
Form 01
30 Given f(x) = x
2
− 36, which statement is true?
F The only zero, 6, can be found when 0 = (x − 6)(x − 6).
G The only zero, 18, can be found when 0 = (x − 18)(x − 18).
H The zeros, −6 and 6, can be found when 0 = (x + 6)(x − 6).
J The zeros, −18 and 18, can be found when 0 = (x + 18)(x − 18).
11323
31 A function is shown.
f(x) = 7 − 4x
What is the value of f(−5)?
A 27
B −13
C −15
D 140
11095
GO ON
Algebra I
Page 32
Form 01
32 Which graph best represents y = −4(x + 3) − 2?
F
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
H
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
G
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
J
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
11148
GO ON
Algebra I
Page 33
Form 01
33 Which expression is a factor of 10x
2
− 19x + 6?
A 10x − 3
B 10x − 1
C 5x − 3
D 5x − 2
11072
34 The table shows the linear relationship between the distance in feet
below sea level and the time in seconds traveled by a submarine.
Submarine
Time
(seconds)
Distance Below
Sea Level (feet)
0 460
18 604
34 732
52 876
70 1,020
What is the rate of change of the distance in feet below sea level with
respect to time that the submarine traveled?
Record your answer and ll in the bubbles on your answer document.
10676
GO ON
Algebra I
Page 34
Form 01
35 Which equation best represents the line shown on the grid?
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
923456789
x
−
5
−
4
−
6
−
7
−
8
−
9
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
y
A y = 0
B y = −6
C x = 0
D x = −6
11248
36 An insect population after x months can be modeled by the function
g(x) = 18(1.3)
x
. Which statement is the best interpretation of one of
the values in this function?
F The insect population increased by 13 insects each month.
G The insect population decreased by 13 insects each month.
H The insect population increased at a rate of 30% each month.
J The insect population decreased at a rate of 30% each month.
11400
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Algebra I
Page 35
Form 01
37 The graph of y = −
1
6
x − 4 is shown on the grid.
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
9
−
10 2345678910
x
−
5
−
4
−
6
−
7
−
8
−
9
−
10
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
10
y
Which ordered pair is in the solution set of y > −
1
6
x − 4?
A (−8, 8)
B (6, −5)
C (4, −6)
D (−2, −7)
11161
GO ON
Algebra I
Page 36
Form 01
38 The conversion of degrees Celsius to degrees Fahrenheit can be
represented by a linear relationship. The graph shows the linear
relationship between y, the temperature in degrees Fahrenheit, and x,
the temperature in degrees Celsius from the freezing point of water.
510152025303540450
112
104
96
88
80
72
64
56
48
40
32
24
16
8
Temperatures
Degrees Celsius
Degrees Fahrenheit
x
y
Which equation best represents this situation?
F y =
5
9
x
G y =
9
5
x
H y =
5
9
x + 32
J y =
9
5
x + 32
11245
GO ON
Algebra I
Page 37
Form 01
39 Which graph best represents the solution set for this system
of inequalities?
x + 2y < −2
y − x < 3
A
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
C
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
B
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
D
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
10666
GO ON
Algebra I
Page 38
Form 01
40 Which graph best represents h(x) = (x + 1)(x − 3)?
F
x
−
11
−
2
−
3
−
4
−
5
−
6
23456
y
−
5
−
4
−
6
−
3
−
2
−
1
1
2
3
4
5
6
H
x
−
11
−
2
−
3
−
4
−
5
−
6
23456
y
−
5
−
4
−
6
−
3
−
2
−
1
1
2
3
4
5
6
G
x
−
11
−
2
−
3
−
4
−
5
−
6
23456
y
−
5
−
4
−
6
−
3
−
2
−
1
1
2
3
4
5
6
J
x
−
11
−
2
−
3
−
4
−
5
−
6
23456
y
−
5
−
4
−
6
−
3
−
2
−
1
1
2
3
4
5
6
11363
GO ON
Algebra I
Page 39
Form 01
41 The rst six terms in a geometric sequence are shown, where a
1
= −4.
−4 −16 −64 −256 −1,024 −4,096 . . .
Based on this information, which equation can be used to nd the n
th
term in the sequence, a
n
?
A a
n
= −4n
B a
n
= −(4)
n
C a
n
= −n
2
D a
n
= (−4)
n
10654
42 What is the solution to 4(q + 56.5) = 30q − 112?
Record your answer and ll in the bubbles on your answer document.
11710
43 Which expression is equivalent to 36m
2
− 100?
A (9m − 20)(4m + 5)
B 4(3m − 5)(3m + 5)
C 2(2m − 5)(9m + 10)
D 4(3m − 5)
2
11111
GO ON
Algebra I
Page 40
Form 01
44 The table shows the net revenue in millions of dollars of a company
every three months for two years. An exponential function can be
used to model the data.
Company
Time, x (months) Net Revenue, r(x) (millions of dollars)
3 274
6 389
9 467
12 560
15 960
18 1,100
21 1,320
24 1,584
Which function best models the data?
F r(x) = 223.06(1.09)
x
G r(x) = 1.09(223.06)
x
H r(x) = 2,232.91(0.92)
x
J r(x) = 0.92(2,232.91)
x
11411
GO ON
Algebra I
Page 41
Form 01
45 Which graph best represents this system of equations and its solution?
2x = 6 − y
5x − 4y = 28
A
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
923456789
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
C
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
923456789
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
B
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
923456789
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
D
–
11
–
2
–
3
–
4
–
5
–
6
–
7
–
8
–
923456789
x
–
5
–
4
–
6
–
7
–
8
–
9
–
3
–
2
–
1
1
2
3
4
6
7
8
9
5
y
10664
GO ON
Algebra I
Page 42
Form 01
46 Which function is equivalent to k(x) = x
2
+ 2x − 15?
F k(x) = (x + 15)(x − 1)
G k(x) = (x + 1)(x − 15)
H k(x) = (x + 5)(x − 3)
J k(x) = (x + 3)(x − 5)
11068
GO ON
Algebra I
Page 43
Form 01
47 Which graph best represents part of a quadratic function with a
domain of all real numbers less than −4?
A
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
C
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
B
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
D
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
823456
7
8
x
−
5
−
4
−
6
−
7
−
8
−
3
−
2
−
1
1
2
3
4
5
6
7
8
y
11361
GO ON
Algebra I
Page 44
Form 01
48 The graph of a line passes through the points (−3, 1) and (5, 8).
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
9
−
10 2345678910
x
−
5
−
4
−
6
−
7
−
8
−
9
−
10
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
10
y
What is the slope of the line?
F
9
2
G
7
8
H −
9
2
J −
7
8
11147
GO ON
Algebra I
Page 45
Form 01
49 A mail carrier delivers mail on one of two different routes: a morning
route or an afternoon route. Each workday the mail carrier is assigned
one of these two routes.
• Last month the mail carrier delivered mail on the morning
route 16 times and on the afternoon route 12 times, for a
total distance traveled of 141 miles.
• This month the mail carrier delivered mail on the morning
route 10 times and on the afternoon route 15 times, for a
total distance traveled of 123.75 miles.
What is the distance of the morning route in miles?
A 5.25 mi
B 6.00 mi
C 4.75 mi
D 5.00 mi
11311
GO ON
Algebra I
Page 46
Form 01
50 Quadratic functions p and q are graphed on the grid. The graph of p
was transformed to create the graph of q.
−
11
−
2
−
3
−
4
−
5
−
6
−
7
−
8
−
923456789
x
−
5
−
4
−
6
−
7
−
8
−
9
−
3
−
2
−
1
1
2
3
4
5
6
7
8
9
y
p
q
Which function best represents the graph of q?
F q(x) = −(x − 2)
2
G q(x) = −(x + 2)
2
H q(x) = −x
2
− 2
J q(x) = −x
2
+ 2
11373
51 What is the solution to this equation?
2(40 − 5y) = 10y + 5(1 − y)
A 7.5
B 15
C 5
D Not here
10001
GO ON
Algebra I
Page 47
Form 01
52 The initial value of a home is $200,000. The value of the home will
increase at a rate of 6% each year.
Which graph best models this situation?
F
900,000
800,000
700,000
600,000
500,000
400,000
300,000
200,000
100,000
Home
5010152025
y
x
Time (years)
Value (dollars)
H
900,000
800,000
700,000
600,000
500,000
400,000
300,000
200,000
100,000
Home
5010152025
y
x
Time (years)
Value (dollars)
G
900,000
800,000
700,000
600,000
500,000
400,000
300,000
200,000
100,000
Home
5010152025
y
x
Time (years)
Value (dollars)
J
900,000
800,000
700,000
600,000
500,000
400,000
300,000
200,000
100,000
Home
5010152025
y
x
Time (years)
Value (dollars)
11422
GO ON
Algebra I
Page 48
Form 01
53 A coach has 96 golf balls for the school’s golf team. The coach will
give each player on the team 8 golf balls. The graph shows the linear
relationship between y, the number of golf balls remaining for the
team, and x, the number of players on the team.
1 234560
96
84
72
60
48
36
24
12
Golf Team
Number of Players
Number of Golf Balls
Remaining
x
y
The coach will use no more than 6 players on the school’s golf team.
Which set best represents the range of the function for this situation?
A {96, 84, 72, 60, 48, 36, 24}
B {8, 9, 10, 11, 12, 13, 14}
C {96, 88, 80, 72, 64, 56, 48}
D {0, 1, 2, 3, 4, 5, 6}
11231
STOP
STOP
BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS
ON THE ANSWER DOCUMENT.
Algebra I
Page 49
Form 01
54 Linear function k has a zero of −2 and a y-intercept of 6. Which graph
best represents k?
F
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
H
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
G
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
J
−
11
−
2
−
3
−
4
−
5
−
6
−
72
3
4567
x
−
5
−
4
−
6
−
7
−
3
−
2
−
1
1
2
3
4
5
6
7
y
11144
Form 01
Form 01
STAAR
Algebra I
May 2022
