STAAR Practice Test #1
TEKS 2 (Linear Equations)
1. (2B) The population of Webb County, Texas, from the year
2000 through 2010 is shown in the graph. If the trend shown in
the graph continues, what will be the population of Webb
County in 2015?
Name:________________________
Block:_________ Date:__________
2 (2B) What is the equation in standard form of the line that
passes through the point (4, −8) and has a slope of
1
4
?
A 307,000
B 278,500
C 471,500
D 158,000
3. (2A) The graph of an
4. (2A) The student council sent its members on four field trips
equation in the form
y = mx + b is shown on the
grid. Based on the graph,
what is the value of x when
y = −7?
during the school year. The number of buses needed to transport
the members on each trip is a function of the number of members
who went on each trip. This function consists of only the ordered
pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain
for this situation?
F {52, 105}
G {3, 4, 5, 6}
H {52, 72, 86, 105}
J {3, 4, 5, 6, 52, 72, 86, 105}
6. (2A) A factory worker packed 12 boxes at a constant rate,
took a 30-minute break, and then continued packing boxes at
twice the rate before the break. The worker then spent 1 hour
cleaning the work area. Which graph models this situation?
5. (2A) The scatterplot below shows the relationship between
the number of baseballs used in 14 games and the number of
pitches thrown in these games. Based on the scatterplot, what is
the best prediction of the number of baseballs that will be used if
275 pitches are thrown?
A 150
B 60
C 100
D 160
7. (2D) The value of y varies directly with x, if y = 48
when x=3, find x when y = 80.
8. (2D) Weight varies directly with a planet’s gravity. A
Mars rover plus lander weighs 767 pounds on Earth, but
only 291 pounds on Mars. The Mars rover without the
lander weighs 155 pounds on Mars. How much does the
rover without the lander weigh on Earth? Round your
answer to the nearest pound.
A. 6
A. 305
B. 5
C. 4
D. 8
B. 401
C. 500
D. 409
9. ( 2A) The graphs show the cost of attending a county fair on Thursday and on Saturday and playing x games each day.
Based on the graphs, which statement is true?
A The cost of each game on Thursday is $0.50 less than the cost of each
game on Saturday.
B A person would spend $4 more to attend the fair and play 6 games on
Saturday than on Thursday.
C The cost of each game on Saturday is $2 less than the cost of each
game on Thursday.
D A person would spend $3 more to attend the fair and play 5 games on
Thursday than on Saturday.
10. (2A) Which statement is true for the function
11. (2A) The mapping below represents all of the points on
whose graph is shown below?
the graph of function f. What is the domain of f?
A.
B.
C.
D.
The domain is {x | x = -2, -1, 0, 1, 2}
The domain is {x | x = -4, -2, 0, 2, 4}
The range is all real numbers.
The range is y < 2.
F {−4, −1, 0, 2, 7}
G {−5, −4, −1, 0, 1, 2, 4, 7}
H {−5, 0, 1, 2, 4}
J {5}
12. (2C) Which equation
can be represented by
the graph shown below?
13. (2A) The dishwasher at a restaurant is loaded with the same
number of dishes every time it is used. The table below shows
the total number of dishes washed as a function of the number
of times the dishwasher is used.
F. −3x+8y+16=0
Based on the data in the
table, what is the total
number of dishes that will
have been washed when the
dishwasher is used 9 times?
G. 3x−8y+16=0
H. −3x−8y−16=0
J. 3x+8y−16=0
14. (2A) A storm is headed through North Texas. The
duration of the storm is measured in hours while the
rainfall is measured in inches as seen in the table below.
Does this situation represent a discrete or continuous
function?
Duration of the
storm(hrs), x
Amount of
rain(inches), y
1
2
3
0.5
1
1.5
15. (2A) Given the function: 𝑓(𝑥) = {(−3, 1), (0, 5), (1, 7)}.
What is f(1)?
A) −3
B) 7
C) 1
D) 0
16 (2G) Write an equation, in slope-intercept form, of the
line that passes through the point (3, –2) and is
1
perpendicular to the line 𝑦 = 4 𝑥 + 1.
17. (2D) Cameron earns $8 per hour at her after-school
job. The total amount of her paycheck varies directly with
the amount of time she works. Find the amount of her
paycheck if she works 5 hours.
18. (2A) Which situation is represented by the graph
below?
19. (2A) One type of redwood tree has an average height
of 65 feet when it is 20 years old. If the tree is more than
20 years old, the average height, h, can be modeled by the
function h=1.95(a−20)+65, where a is the age of the tree
in years. Which statement about this situation is true?
A Every additional 1.95 ft of length over 20 ft adds 45
years to the age of this type of redwood tree.
F A man poured lemonade from a full pitcher at a
constant rate. Then for several seconds, he stopped
pouring from the pitcher. Then the man poured the rest of
the lemonade from the pitcher at a faster rate than before.
B For this type of redwood tree, the average height
increases by 1.95 ft per year throughout its lifetime.
C Each additional year of age over 20 years adds 1.95 ft
to the average height of this type of redwood tree.
D For this type of redwood tree, the average height
G A boy poured lemonade into an empty pitcher. Then for
increases by 65 ft for every 20 years of growth.
several seconds, he stopped pouring into the pitcher. Then
the boy poured more lemonade into the pitcher at a slower
rate than before.
20. (2D) The mass of a substance varies directly with the
volume of the substance. The volume of 100 kilograms of
H A woman poured lemonade from a full pitcher at a
the substance is 80 liters. What is the volume, in liters, of
constant rate. Then for several seconds, she stopped
pouring from the pitcher. Then the woman poured the rest 3.2 kilograms of this substance?
of the lemonade from the pitcher at a slower rate than
before.
J A girl poured lemonade into an empty pitcher. Then for
several seconds, she stopped pouring into the pitcher.
Then the girl poured more lemonade into the pitcher at a
faster rate than before.
21. (2E) Is the line passing through (6 , -3) and (0 , 0)
1
5
parallel to y = 2 𝑥 − 6 ? Show work and explain.
22. (2E) What is the equation in standard form of the line
that passes through the point (6 , 9) and is parallel to the
1
1
line 𝑦 = 2 𝑥 + 4 2 ?
23. (2G) What is the slope of the line below:
24. (2F) Write an equation, in slope-intercept form, of the
line that passes through the point (-2, 9) and is
1
perpendicular to the line y = 4 x + 1.
25. (2F) Write an equation, in slope-intercept form, of the
line that passes through the point (0,0) and is
perpendicular to the line 𝒚 = −𝟑 𝒙 + 𝟏.
26. (2A) What is the range of the function graphed
on the grid?
27. (2G) Which of the following has a zero slope?
A
B
28. (2H) Some students at a music recital perform 3minute pieces and some perform 5-minute pieces. The
total time of this part of the recital needs to be at least 30
minutes long. Write an inequality to represent this
situation.
C
D
29. (2H) Complete the linear inequality that represents the
relationship shown in the table: 𝑦
A. >
B. <
C. ≥
D. ≤
⃞⃞⃞⃞ 3𝑥 −
1
2
Answer Key for Test #1
1
2
3
B
A
X = -5
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
H
C
F
B
D
B
B
F
G
234
CONTINUOUS
B
Y = -4x + 10
$40
F
C
V=4
No
x – 2y = -12
Undefined
4x – y = 1
26
27
28
29
1
𝑦 = 3𝑥
G
B
3𝑥 + 5𝑦 ≥ 30
B