8th Gr Intervention Practice Questions

STAAR Intervention Practice Questions – Readiness Standards
Name: ________________________________
Category 1: Numerical Representations and Relationships
4 Which number in the list is the least?
8.2D - Order a set of real numbers arising from mathematical
and real-world contexts
1
12
1
, 0.12, 11%, √ , 0.08
16
1 Mr. Valdez plans to open a savings account. The annual
interest rates offered by four banks are shown below. What is
the difference between the greatest and least interest rates?
3
8
8
3
5 The table shows Linda’s monthly expenses. Which list
shows the expenses in order from greatest amount to least
amount of the monthly budget?
2.5%, 2 %, 2.8%, %
2 The temperatures for five days in Fairbanks, Alaska, are
shown in the following table. Which list shows these
temperatures in order from least to greatest?
Day
Temperature (°F)
Amount of
Monthly Budget
Expense
Utilities
13%
43
Rent
100
Monday
1
Tuesday
–11
Food
Wednesday
–25
Car
27%
Thursday
–14
Other
0.07
Friday
3
A –11°F, –14°F, –25°F, 1°F, 3°F
B –25°F, –14°F, –11°F, 1°F, 3°F
C 3°F, 1°F, –11°F, –14°F, –25°F
1
10
F other, food, utilities, car, rent
G rent, car, utilities, food, other
H food, other, utilities, car, rent
J car, rent, food, other, utilities
D 1°F, 3°F, –11°F, –14°F, –25°F
3A Which list shows the numbers in order from least to
greatest?
6 Which list shows the numbers in order from greatest to
least?
A
1 9
F √8, 2 , , 230%, 2.31
2 4
14
5
, √8, 2.74
14
B √8,
1 9
5
C 2.74, √8,
, 2.74
D 2.74,
14
5
14
5
, √8
G 230%, 2 , ,√8, 2.31
2 4
9
1
H , 230%, 2.31, 2 , √8
4
2
1
9
2
4
J √8, 2 , 2.31, 230%,
3B Which list shows the numbers in order from greatest to
least?
A
101
, 110%, 1.001, 1.0101
7 Which list of numbers are shown on the number line?
9
3
1
16
1
9
F 6 , √42, 6 , √48
G 6 , √39, 6 , √48
9
16
100
2
B 1.0101, 110%,
C 1.001,
101
, 1.001
100
101
, 1.0101, 110%
100
D 110%, 1.0101,
9
H 6 , √42, 6 , √48
9
16
101
, 1.001
100
2
9
9
16
J 6 , √33 ,6 , √39
STAAR Intervention Practice Questions – Readiness Standards
8 John recorded five math quiz scores in the table. What is the
difference, expressed as a fraction, between the greatest and
least quiz scores?
Quiz
Score
1
80%
2
3
4
5
A
B
Name: ________________________________
11 The graph represents the relationship of John’s earnings
over several weeks. What is the slope of the graph? What does
the slope represent?
11
12
0.85
89
100
90%
1
C
60
2
D
75
1
25
12 The graph shows the distance Darius traveled on his
vacation. What is the unit rate and what does it represent?
7
60
9 Which number in the list is the greatest?
1.2, –
21
10
, –100%, 0, 3.2, 1
1
2
Category 2: Computations and Algebraic Relationships
(8.4B, 8.4C, 8.5G, 8.5I, 8.8C)
8.4B – Graph proportional relationships, interpreting the unit
rate as the slope of the line that models the relationship
10 Mini read a book at a constant rate. The graph of her
progress is shown. Which statement is true?
A 50; 50 hours
C 150; 150 hours
B 50; 50 miles per hour
D 150; 150 miles per hour
13 The table shows the amount of money Kenneth saved each
month. If you were to graph the line of this proportional
relationship, what is the slope and what does it represent?
2
A The slope of the line is different from the unit rate of
3
page per minute.
1
B The slope of the line is different from the unit rate of
2
page per minute.
2
C The slope of the line is the same as the unit rate of
3
page per minute.
1
D The slope of the line is the same as the unit rate of
2
page per minute.
Number of
Months
2
Total Amount of
Savings ($)
70
3
105
4
140
F 35; Kenneth saved $35 per month.
G 70; Kenneth saved $70 per month.
H 105; Kenneth saved $105 per month.
J 140; Kenneth saved $140 per month.
STAAR Intervention Practice Questions – Readiness Standards
Name: ________________________________
1
14 Jen jogged at a constant pace. After 2 hours, she had
2
jogged 10 miles. If you were to graph the line of this
proportional relationship between distance jogged and time,
which of the following pairs of coordinates represent points
on the line?
F (1, 4) and (2, 10)
1
G (2 , 10) and (1, 5)
2
H (1, 4) and (2, 8)
8.4C - Use data from a table or graph to determine the rate of
change or slope and y-intercept in mathematical and realworld problems
18 The table shows the times it took a rider in a parade to pass
each mile marker. What is the average rate of change for the
rider in miles per hour for the entire parade?
1
J (2 , 10) and (5, 15)
2
Miles
Time (min)
1
9
2
17
15 Madeline drove 240 miles on 8 gallons of gasoline. Which
statement is NOT true?
3
23
4
29
A Madeline drove 30 miles on 1 gallon of gasoline.
5
37
B Madeline drove 120 miles on 4 gallons of gasoline.
C Madeline drove 180 miles on 5 gallons of gasoline.
D Madeline drove 210 miles on 7 gallons of gasoline.
16 The graph represents the cost to rent a front loader for
different numbers of hours. What is the hourly rental rate, in
dollars per hour?
19 The data in the table represents a linear relationship.
Determine the slope and y-intercept of the line on which the
points lie.
x
y
–2
–2
0
–1
2
0
A m = 2; y-intercept = –1
1
B m = ; y-intercept = –1
2
1
C m = ; y-intercept = 2
2
D m = 2; y-intercept =
1
2
20 Determine the slope and y-intercept of the line.
17 It cost $1.25 for a quarter pound of birdseed. What is the
unit rate and what does it represent?
F 0.25; It cost $0.25 for each pound of birdseed.
G 1.25; It cost $1.25 for each pound of birdseed.
H 2.50; It cost $2.50 for each pound of birdseed.
J 5; It cost $5.00 for each pound of birdseed.
F m = 1; y-intercept = 1
G m = 1; y-intercept = – 1
1
2
3
H m = ; y intercept = 1
4
3
1
4
2
J m = ; y-intercept = – 1
STAAR Intervention Practice Questions – Readiness Standards
21 The graph shows the depth of water in a fountain over
several days. What is the slope and what does it represent?
A –3; The amount of water in the fountain decreases 3 cm
each day.
B –1; The amount of water in the fountain decreases 1 cm
each day.
C 1; The amount of water in the fountain increases 1 cm
each day.
Name: ________________________________
25 The graph shows the amount of money Leslie saved over a
6-week period. What do the slope and y-intercept mean?
A The slope of 15 means that the initial amount Leslie
had was $15. The y-intercept of 28 means that Leslie
saved $28 each week.
B The slope of 28 means that the initial amount Leslie
had was $28. The y-intercept of 15 means that Leslie
saved $15 each week.
D 3; The amount of water in the fountain increases 3 cm
each day.
C The slope of 15 means that Leslie saved $15 each
week. The y-intercept of 28 means that the initial
amount Leslie had was $28.
22 The points in the table lie on a line. What is the value of y
when x is –18?
D The slope of 28 means that Leslie saved $28 each
week. The y-intercept of 15 means that the initial
amount Leslie had was $15.
x
y
–6
–1
–3
–2
3
–4
6
–5
8.5G - Identify functions using sets of ordered pairs, tables,
mappings, and graphs
26 Determine whether the relation shown in the table is a
function. Explain.
x
–10
8
9
4
9
12
y
2
10
3
11
5
10
1
23 The slope of a line is − . One point on the line is
2
(–2, 9). What is another point on the line?
F (–4, 10)
H (2, –9)
G (1, 6)
J (4, 8)
27 Which relation is a function?
3
24 The slope of a line is . One point on the line is (6, 1).
5
What is another point on the line?
A {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
B {(0, 1), (1, 3), (2, 5), (3, 7)}
C {(−1, 4), (−1, 6), (0, 4), (1, 8)}
F (1, –4)
G (1, –2)
H (3, –6)
J (9, 5)
D {(9, 5), (9, −5), (11, 7), (11, −7)}
STAAR Intervention Practice Questions – Readiness Standards
28 Which value of x makes the data in the table a function?
Number of
Employees, x
12
9
x
3
Number of
Customers, y
2
10
3
11
Name: ________________________________
32 Which relation shown in the graph is NOT a function?
F 12
G9
H6
J3
29 Which domain would make the list of ordered pairs a
function?
(__, 4), (__, 5), (__, 6), (__, 12), (−7, 7)
33 Which shows a function?
A { 5, 8 }
B { −7, −6, −5, −4 }
A
C { –7, –4, 3, 0 }
x
–5
5
–5
15
y
20
10
9
10
D { –9, –5, 0, 3 }
30 Which mapping is NOT a function?
C {(0, 15), (2, 11), (6, 5), (13, 11), (1, 0)}
34 For which value of x is the data in the table NOT a
function?
31 Which domain value causes the relation in the list of
ordered pairs to not be a function? (−5, 7), (−6, 4),
(0, 3), (0, 4)
Number of Crates, x
14
x
5
2
Number of Apples, y
11
9
11
17
F1
H 11
G2
J 17
STAAR Intervention Practice Questions – Readiness Standards
8.5I – Write an equation in the form y = mx + b to model a
linear relationship between two quantities using verbal,
numerical, tabular, and graphical representations
Name: ________________________________
40 What is the equation of the graph?
35 Write an equation to represent the relationship shown in
the table.
Number of Questions Correct
6
10
12
Score on Test
51
83
99
3
2
Fy= x+4
Hy= x+3
2
36 What is the equation for a line passing through the points
(–2, –2) and (2, –4)?
3
2
9
3
2
Gy=− x+
2
Jy=− x+3
3
41 What is the equation for the values in the table?
3
Ay= x–3
2
2
By=− x+3
x
–10
–5
5
10
y
–3
–1
3
5
3
1
Cy= x+3
2
1
Dy=− x–3
2
37 Which equation represents the relationship shown in the
table?
2
Ay=− x–1
5
5
x
–2
–1
0
1
y
–8
–5
–2
1
By= x+1
2
2
Cy= x+1
5
1
1
2
2
Dy= x–
42 Parallel lines have the same slope. What is the slope of a
line parallel to 4y = 16x + 8?
1
Fy= x–2
2
1
Gy=− x+2
2
H y = 3x – 2
J y = –3x + 2
38 What is the slope of the equation of a line that crosses the
y-axis at the origin, and for every vertical increase of three
units, it increases horizontally by four units?
39 An online sports ticket-selling company charges a service
charge of $4 to buy tickets. Each ticket costs $55 for a
basketball game. Which equation represents the cost of
buying tickets through the company?
A y = 4x + 55
C y = 55x + 4
B y = 4x – 55
D y = 55x – 4
43 A swimming pool is filled with water at a constant rate of 9
gallons every 10 minutes. After 30 minutes, the pool is
filled with 55 gallons of water. Which equation represents
this relationship?
F y = 9x + 55
Hy=
G y = 10x + 28
Jy=
9
10
9
10
x + 28
x + 55
44 What is the equation for a line passing through the points
(–1, 4.5) and (6, 8)?
A y = x + 5.5
Cy=x+2
B y = 0.5x + 5
D y = 2.5x + 7
STAAR Intervention Practice Questions – Readiness Standards
8.8C - Model and solve one-variable equations with variables
on both sides of the equal sign that represent mathematical and
real-world problems using rational number coefficients and
constants
45 Jack’s age 6 years ago is half of his age 12 years from
now. How old is Jack now?
1
46 A small candle burns inch every hour. A large candle
2
2
burns inch every hour. After how many hours will the two
3
candles be the same height?
Name: ________________________________
49 Marco and Juan entered a trivia competition. When they
miss a question, they lose points. Their starting points and
rate of loss is listed in the table. For how many weeks, w,
will Juan have fewer points than Marco?
Competitor
Starting
Points
Marco
220
Juan
200
Loss per Week
(points/wk)
1
3
1
3
F w < 15
H w < 19
G w < 17
J w < 21
50 The sum of one-half of a number and 6 is one-third of the
number. What is the number?
Candle
Initial Height (in.)
Small
12
A –36
C 30
Large
15
B –30
D 36
A5h
C 12 h
B8h
D 18 h
51 Mary is thinking of three consecutive even integers, x, y,
and z. Three times the value of z exceeds half the value of x
by 37. What is the value of z?
47 Mr. Smith has two leaks in his ceiling. He put buckets
under the leaks to catch the water. The table shows the
amount of water in each bucket. If the water continues to
leak at the same rate, at what time will the buckets have the
same amount of water?
Time
Bucket A (in.)
Bucket B (in.)
1:00 P.M.
10.0
15.0
1:30 P.M.
10.8
15.2
2:00 P.M.
11.6
15.4
2:30 P.M.
12.4
15.6
3:00 P.M.
13.2
15.8
F 3:10 P.M.
H 5:10 P.M.
G 3:30 P.M.
J 5:30 P.M.
52 Four times a number is less than or equal to half the sum of
a number and –2. What are the possible values of the
number?
F x ≤ –2
Gx≤−
H x ≥ –2
2
48 One-third Kaylee’s age increased by 12 is equal to twice
her age decreased by 3. How old is Kaylee?
C9
B8
D 15
Jx≥−
7
2
7
53 Ashley and Bridget started work for a bank. Their starting
salaries and rates of increase in pay are given in the table.
How many years will it take for Ashley to make the same
amount of money as Bridget?
Starting
Salary
Rate of Increase
per Year
Ashley
$10/hour
$0.50/hour
Bridget
$15/hour
$0.25/ hour
Employee
A5
2
A 5 years
C 15 years
B 10 years
D 20 years
STAAR Intervention Practice Questions – Readiness Standards
54 The data in each table represents a linear function. At what
x-coordinate are the two functions equal?
Name: ________________________________
57 Rectangle ABCD has vertices A(−1, 2), B (4, 2),
C(4, −1), and (D−1, −1). Rectangle ABCD is dilated by a
3
scale factor of . Which statement is true?
4
x
–4
–3
–2
–1
y
1
1.5
2
2.5
F Rectangle ABCD and rectangle A′B′C′D′ are congruent.
x
0
–3
–4
–6
G Rectangle ABCD and rectangle A′B′C′D′ are similar.
Rectangle ABCD is larger than rectangle A′B′C′D′.
y
5
9.5
11
14
H Rectangle ABCD and rectangle A′B′C′D′ are similar.
Rectangle ABCD is smaller than rectangle A′B′C′D′.
J Rectangle ABCD and rectangle A B C D are similar.
Rectangle ABCD is the same size as rectangle A′B′C′D′.
Category 3: Geometry and Measurement (8.3C, 8.7A,
8.7B, 8.7C, 8.10C)
8.3C – Use an algebraic representation to explain the effect of
a given positive rational scale factor applied to two
dimensional figures on a coordinate plane with the origin as
the center of dilation
58 Triangle EFG is dilated by a scale factor of 5. Which is an
algebraic representation of the dilation?
55 Square MNPQ has vertices M(1, 4), N(1, 8), P(5, 8), and
Q(5, 4). The square is dilated with a scale factor of 2, centered
at the origin. Write an algebraic representation for the dilation.
Determine the coordinates of square M′N′P′Q′.
1
1
5
5
A (x, y) → (x, y)
C (x, y) → ( 𝑥, 𝑦)
B (x, y) → (5x, 5y)
D (x, y) → (0.5x, 0.5y)
59 Which algebraic representation represents a dilation with a
scale factor of 7?
56 A triangle has vertices J(−3, 8), K(7, −1), and
L(−2, 0). The triangle is dilated so that vertex K′ has
coordinates (21, −3). Which algebraic representation
represents the dilation?
1
1
7
7
F ( 𝑥, 𝑦)→ (x, y)
H (x, y) → (7x, 7y)
G (7x, 7y) → (x, y)
J (x, y) → ( 𝑥, 𝑦)
1
1
7
7
A (3x, 3y) → (x, y)
B (x, 3y) → (3x, y)
C (3x, y) → (x, 3y)
D (x, y) → (3x, 3y)
60 A rectangle with coordinates A(0, 0), B(4, 0), C(4, 6), and
D(0, 6) is dilated, decreasing both dimensions by 30%. Then
the image is dilated, increasing both dimensions by 50%.
The origin is the center of both dilations. What is the
perimeter of the final image, P″?
STAAR Intervention Practice Questions – Readiness Standards
61 Rectangles ABCD and A′B′C′D′ are shown on the
coordinate plane. Which algebraic representation shows how
the coordinates of rectangle A′B′C′D′ were found?
1
1
2
2
A ( 𝑥, 𝑦)→ (x, y)
1
1
2
2
C (2x, 2y) → (x, y)
D (x, y) → (2x, 2y)
3
F (3x, 3y) → (x, y)
3
3
3
3
2
2
2
2
3
3
G ( 𝑥, 𝑦)→ (x, y)
62 Which algebraic representation represents a dilation with a
1
scale factor of ?
1
64 Triangles KLM and K′L′M′ are shown on the coordinate
plane. Which algebraic representation shows how to find the
coordinates of triangle K′L′M′?
F ( 𝑥, 𝑦)→ (x, y)
B (x, y) → ( 𝑥, 𝑦)
1
Name: ________________________________
G ( 𝑥, 𝑦)→ (x, y)
1
1
3
3
3
3
2
2
H (x, y) → ( 𝑥, 𝑦)
2
2
3
3
J (x, y) → ( 𝑥, 𝑦)
65 A triangle has vertices A(0, 5), B(4, –6) , and C(5, 3). The
triangle is dilated so the vertex C′ is at (10, 6). Which
algebraic representation represents the dilation?
H (x, y) → ( 𝑥, 𝑦)
J (x, y) → (3x, 3y)
A (2x, 2y) → (x, y)
C (2x, y) → (x, 2y)
B (x, 2y) → (2x, y)
D (x, y) → (2x, 2y)
63 Quadrilateral STUV with vertices S(−5, −2), T(−4, 7), U(0,
5
5), and V(3, −6) is dilated by a scale factor of . Which
3
statement is false?
A Quadrilateral STUV is larger than quadrilateral
S′T′U′V′.
B Quadrilateral STUV and quadrilateral S′T′U′V′ are
similar.
C The algebraic representation of the dilation is
5
5
3
3
(x, y) → ( 𝑥, 𝑦)
D Quadrilateral STUV is smaller than quadrilateral
S′T′U′V′.
8.7A - Solve problems involving the volume of cylinders,
cones, and spheres
66 If the radius of a cylinder is doubled, how does this affect
the volume of the cylinder?
STAAR Intervention Practice Questions – Readiness Standards
67 Melinda is trying to decide between two different storage
containers. She wants to purchase the container that has
more volume. Which statement is true? Use π = 3.14
A The rectangular container is larger and has a volume of
6,480 in3.
Name: ________________________________
70 The cylindrical tank of the kerosene lantern shown below is
full. Kerosene has a density of approximately 0.8 gram per
cubic centimeter. How much kerosene, to the nearest tenth
of a gram, is in the lantern?
F 120.6 g
H 482.3 g
G 150.7 g
J 602.9 g
B The rectangular container is larger and has a volume of
7,536 in3.
C The cylindrical container is larger and has a volume of
6,480 in3.
D The cylindrical container is larger and has a volume of
7,536 in3.
71 The cylinders shown below have the same volume. What is
the radius of Cylinder Y? Round to the nearest tenth.
2
68 The cone-shaped paper cup is full of sand. What is the
3
volume of the part of the cone that is filled with sand? Use
3.14 for π.
F 102.57 cm3
H 307.72 cm3
G 153.86 cm3
J 461.58 cm3
A2m
C6m
B4m
D 12 m
69 The height of a cone with a 7-inch radius and 9-inch height
is doubled. How does that affect the volume of the cone?
A The volume is doubled.
B The volume is tripled.
72 The radius of a sphere is halved. What fraction of the
original volume is the volume of the smaller sphere?
F
C The volume is squared.
D The volume is cubed.
G
1
2
1
4
H
J
1
8
1
16
STAAR Intervention Practice Questions – Readiness Standards
73 A sleeve of golf balls is shown. To the nearest inch, what is
the volume of the box that is NOT filled by the 3 balls?
Name: ________________________________
8.7B - Use previous knowledge of surface area to make
connections to the formulas for lateral and total surface area
and determine solutions for problems involving rectangular
prisms, triangular prisms, and cylinders
75 Coffee is sold in a cylindrical canister made of metal on
the bottom and sides, with a plastic lid for the top. What is the
area of the metal portion of the coffee canister and the area of
the plastic lid? Use π = 3.14
A 8 in3
C 2.6 in3
B 16.1 in3
D 6 in3
76 Labeling paper covers the lateral area of a soup can like the
one shown below. How much labeling paper is needed for 8
soup cans? Use 3.14 for π.
74 What is the approximate volume of the farmer’s silo shown
below? Use 3.14 for π.
A 62.8 in2
C 502.4 in2
B 251.2 in2
D 541.65 in2
77 Elizabeth wants to wrap the box below with shipping
paper. About how much shipping paper will Elizabeth need
to cover the entire box?
A 28,938 ft 3
C 34,364 ft 3
B 30,747 ft 3
D 37,981 ft 3
F 12 ft 2
1
G 14 ft 2
2
H 576 ft 2
J 704 ft 2
STAAR Intervention Practice Questions – Readiness Standards
78 The table shows the dimensions of four rectangular prisms.
Which prism has the greatest surface area?
Prism
Length
(cm)
Width
(cm)
Height
(cm)
1
2
6
8
2
2.5
6
4
3
3
5
6
4
5
2
3
A Prism 1
C Prism 3
B Prism 2
D Prism 4
79 Rodney is going to spray paint all the surfaces of the ramp
shown below. One canister of spray paint will cover
approximately 10 square feet. How many canisters will
Rodney need?
Name: ________________________________
81 Marcy wants to paint the sides of the wooden storage chest
shown below gray, and the lid white. How much greater is
the gray surface than the white surface?
A 1,260 in2
C 1,890 in2
B 1,710 in2
D 9,900 in2
82 A rectangular prism has a height of 7.5 centimeters and a
length of 9 centimeters. If the total surface area is 399
square centimeters, what is the width of the prism?
F 6 cm
H 8 cm
G 7.5 cm
J 9 cm
83 Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?
80 Mia wants to make a canvas tent with the dimensions
shown, including the floor. The canvas costs $1.45 per
square foot. How much will Mia spend on canvas?
F $95.10
H $120.75
G $110.40
J $160.08
A $114
C $214.32
B $194
D $364.72
STAAR Intervention Practice Questions – Readiness Standards
8.7C - Use the Pythagorean Theorem and its converse to solve
problems
Name: ________________________________
88 The distance between consecutive bases on a baseball field
is 90 feet. The pitcher’s mound is located 60.5 feet from
home plate. How far is the pitcher’s mound from second
base? Round to the nearest tenth of a foot.
84 Sue is building a wheelchair access ramp. She blocked off
10 feet of floor space for the base of the ramp. If the length of
the ramp is 12 feet, and the height of the ramp is 1.5 feet, find
the length, to the nearest tenth of a foot, of the base of the
ramp. Did Sue block off enough floor space to accommodate
the ramp?
85 What is the length of diagonal ̅̅̅̅
𝐴𝐶 , in inches? (Hint: First,
find the length of diagonal ̅̅̅̅
𝐵𝐶 .)
A 60.5 ft
C 66.8 ft
B 65 ft
D 72.3 ft
89 To be safe, the base of a ladder from the wall upon which it
1
leans should be at least of the ladder’s length. Which
4
statement is true?
86 A 32-inch television measures 32 inches diagonally and
has a width of 25 inches. A 26-inch television measures 26
inches diagonally and has a width of 18.8 inches. To the
nearest inch, how much taller is the 32-inch television than
the 26-inch television?
F The ladder is 13.3 feet from the wall, which is safe.
G The ladder is 13.3 feet from the wall, which is not safe.
A 1 in.
C 4 in.
H The ladder is 31.2 feet from the wall, which is safe.
B 2 in.
D 6 in.
J The ladder is 31.2 feet from the wall, which is not safe.
90 What is the perimeter, in centimeters, of a right triangle
that has leg lengths of 8 centimeters and 11 centimeters?
Round to the nearest tenth centimeter.
87 Which measures could be the side lengths of a right
triangle?
F 7 cm, 21 cm 25 cm
G 30 cm, 72 cm, 78 cm
H 3 cm, 5 cm, 9 cm
J 7 cm, 25 cm, 26 cm
STAAR Intervention Practice Questions – Readiness Standards
91 What is the area, to the nearest square foot, of a square
garden that measures 80 feet diagonally from corner to
corner?
A 6 ft 2
C 40 ft 2
B 16 ft 2
D 120 ft 2
Name: ________________________________
8.10C - Explain the effect of translations, reflections over the
x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360°
as applied to two-dimensional shapes on a coordinate plane
using an algebraic representation
94 ∆GHI is reflected over the x-axis, and then translated right
6 units and up 3 units. Write an algebraic representation that
explains the effect of each transformation. Then determine the
coordinates of the vertices of the image.
92 The table shows the side lengths of different triangles.
Which are right triangles?
Triangle
Side 1
Side 2
Side 3
1
10
24
26
2
5
11
13
3
15
17
24
4
15
20
25
95 What algebraic representation explains the effect of the
transformation from ∆ABC to ∆A′B′C′?
F Triangles 1 and 2
G Triangles 1 and 3
H Triangles 1 and 4
J Triangles 3 and 4
A (x, y) → (x + 2, y – 5)
93 Carla’s house is 3 miles east of the school and 4 miles
north of the park. If Carla walks at an average rate of 4
miles per hour, how long will it take her to walk from the
park to her school?
B (x, y) → (x – 2, y + 5)
C (x, y) → (x – 5, y + 2)
D (x, y) → (x + 5, y – 2)
96 ∆XYZ is translated right 2 units, down 3 units, and reflected
over the x-axis. What algebraic representation explains the
effect of the transformations?
F (x, y) → (x – 3, y + 2)
G (x, y) → (x + 2, –y + 3)
H (x, y) → (–x – 3, y + 2)
A 30 min
C1h
B 45 min
D 1 h 15 min
J (x, y) → (–x + 2, y – 3)
STAAR Intervention Practice Questions – Readiness Standards
97 Sarah is taking an aerobics class. During the first set of
moves they take 3 steps forward (up), 1 step left, 2 steps
right, and 4 steps back (down). Which algebraic
representation shows the set of moves?
Name: ________________________________
100 Which algebraic representation describes the
transformation from trapezoid ABCD to trapezoid A′B′C′D′?
Trapezoid ABCD
Trapezoid A′B′C′D′
A(0, 3)
A′(–1, 5)
A (x, y) → (x + 1, y – 1)
B(–5, 3)
B′(–6, 5)
B (x, y) → (–x, –y)
C(–1, 6)
C′(–2, 8)
C (x, y) → (x – 1, y + 1)
D(–4, 6)
D′(–5, 8)
D (x, y) → (x, y)
F (x, y) → (x – 1, y + 2)
98 Sophia is drawing triangles for an art project. Which
algebraic representation describes the transformation of
∆ABC to ∆A′B′C′ ?
G (x, y) → (–x, 2y)
H (x, y) → (x + 1, y + 2)
J (x, y) → (–x + 2, y – 1)
101 Sam went to an amusement park. From the main entrance
he used the algebraic representation (x, y) →
(x – 10, y + 14) to walk to a ride. Which ride did Sam walk
to?
F (x, y) → (–x – 3, y + 5)
G (x, y) → (x + 3, y + 5)
H (x, y) → (–x + 3, y + 3)
J (x, y) → (x + 3, –y – 3)
99 Allie is moving a piece of artwork to a new location on her
wall. The original location of the artwork is shown in the
graph below. She rotates the artwork 90° clockwise. Then
she uses the algebraic representation (x, y) → (x + 4, y – 3)
to move the artwork. What are the coordinates of the vertex
A after the transformations?
102 ∆MNP is translated up 5 units and reflected over the yaxis. Which algebraic representation explains the effect of
the transformations?
A (x, y) → (x + 5, y)
B (x, y) → (–x, y + 5)
C (x, y) → (x + 5, –y)
D (x, y) → (–x, –y + 5)
STAAR INTERVENTION READINESS STANDARDS PRACTICE QUESTIONS
Category 4: Data Analysis and Personal Financial
Literacy (8.5D, 8.12D)
8.5D – Use a trend line that approximates the linear
relationship between bivariate sets of data to make predictions
106 The graph shows the number of people at an amusement
park at different times, where 0 represents 9:00 A.M. If this
trend continues, about how many people will be at the park
at 12:00 P.M.?
103 Mr. Brown is building a fence around his property. There
are already 25 sections of fence. The graph shows the total
number of sections of fence at the end of each week. If the
trend continues, how many sections of fence will Mr. Brown
have after 15 weeks?
F 5,000
H 3,000
G 4,000
J 2,000
107 The graph shows the costs of renting a bicycle for
different numbers of miles. If Sierra rides a bicycle for 24
miles, what is the cost, in dollars? Round to the nearest
whole number.
A 120
C 145
B 180
D 210
104 If the trend shown in the graph continues, how many
tickets will be sold after 10 hours?
A 10 tickets
C 25 tickets
B 15 tickets
D 50 tickets
A $20
C $13
B $18
D $10
108 If Marty continues to walk at the same rate, how far will
he walk in 3.1 hours?
105 If Joe continues to travel at the same rate as shown in the
trend line, how many miles will Joe travel after 9 hours?
Round to the nearest whole number.
A 2.5 miles
C 12.4 miles
B 7.5 miles
D 22.6 miles
STAAR INTERVENTION READINESS STANDARDS PRACTICE QUESTIONS
109 The graph below shows the quarts of strawberries left to
pick in a garden. If a trend line were drawn, through which
pair of points would it most likely pass?
112 Lucy deposited $1,000 into an account that earns 5%
compound interest, compounded daily. How much interest
will Lucy earn after 10 years? Assume 1 year = 365 days.
Compound Interest: 𝐴 = 𝑃 (1 +
𝑟 𝑛𝑡
)
𝑛
F $634.78
H $644.78
G $638.66
J $648.66
F (1, 10) and (5, 60)
113 Josh deposited money into an account that earns simple
annual interest. How much money, in dollars, is in his
account after 20 years?
G (1, 20) and (5, 70)
H (1, 72) and (5, 55)
J (1, 90) and (5, 20)
8.12D – Calculate and compare simple interest and compound
interest earnings
Principal, p
Interest
Rate, r
Time, t
$1,500
6%
20 years
110 Ian deposited $1,000 into an account that earns 5%
simple annual interest. Ingrid deposited $1,000 into an account
that earns 5% compound interest, compounded annually.
Which investment earns more interest after 10 years? How
much more? Compound Interest: 𝐴 = 𝑃 (1 +
𝑟 𝑛𝑡
)
𝑛
114 Amelia deposited money into an account that earns
compound interest, compounded quarterly. How much
money is in her account after 20 years?
Compound Interest: 𝐴 = 𝑃 (1 +
111 Rex deposited $1,000 into an account that earns 5%
compound interest, compounded monthly. How much
interest will Rex earn after 10 years?
Compound Interest: 𝐴 = 𝑃 (1 +
𝑟 𝑛𝑡
)
𝑛
A $637.01
C $1,637.01
B $647.01
D $1,647.01
𝑟 𝑛𝑡
)
𝑛
Principal,
p
Interest
Rate, r
Time, t
Compound
Period, n
$1,500
6%
20
years
4
A $3,435.99
C $4,935.99
B $4,245.99
D $5,252.99
STAAR INTERVENTION READINESS STANDARDS PRACTICE QUESTIONS
115 Eli’s parents opened a savings account for him when he
was born. The account earns compound interest,
compounded monthly. How much money will be in Eli’s
account at age 21?
Compound Interest: 𝐴 = 𝑃 (1 +
𝑟 𝑛𝑡
)
𝑛
For Exercises 117 and 118, use the tables.
Option
Principal,
p
Interest
Rate, r
Time,
t
Compound
Period, n
A
$1,200
4%
20 yrs
12
Principal,
p
Interest
Rate, r
Compound
Period, n
Option
Principal,
p
Interest
Rate, r
Time,
t
$2,500
5.5%
12
B
$1,200
6%
20 yrs
F $5,414.15
H $6,914.15
G $6,414.15
J $7,914.15
117 What is the total interest, in dollars, for Option B after 20
years?
116 Tina is considering two compound interest account
options as shown below. Which option yields the most
interest? How much more?
Compound Interest: 𝐴 = 𝑃 (1 +
𝑟 𝑛𝑡
)
𝑛
118 After 20 years, which option yields more interest? How
much more? Note: Option A uses compound interest and
Option B uses simple intrest.
Compound Interest: 𝐴 = 𝑃 (1 +
Simple Interest: 𝐴 = 𝑃𝑟𝑡
Option
Principal,
p
Interest
Rate, r
Time,
t
Compound
Period, n
A
B
$500
$500
6%
6.5%
5 yr
5 yr
4
12
F Option A; $21.70
G Option B; $21.70
H Option A; $27.10
J Option B; $27.10
A Option A; $17.98
B Option B; $17.98
C Option A; $19.78
D Option B; $19.78
𝑟 𝑛𝑡
)
𝑛