8th Grade Math Review Bank 2014-15
This collection of items came from a variety of sources, including from released
assessments in and outside of the state of Texas. Only items that could be
correlated to the new 8th grade TEKS were included.
The items are purposefully scrambled and not grouped by strand. Part of review
should involve students identifying the mathematics needed to solve the
problem. During the year their practice and assessments are typically
categorized, which gives them hints as to the type of mathematics they’ll need to
use (a quiz over proportions, or a test over perimeter and area…). Giving students
a mix of items allows the teacher to see if students can identify the mathematics
needed to solve the problem, in addition to actually solving the problem.
This bank should not be used as a “packet” to be distributed to students to
complete in isolation. Some items may be completed individually while others
can be completed in pairs or with small groups. What is important is that the
students’ work is accompanied by discussion about strategies, and that their work
is used as formative assessment data for the teacher to respond to with further
instruction as needed. Some suggestions for use are listed on the following page.
Suggested Structures and Strategies
(to increase engagement)
Math Mystery
Organize students into four groups using a 4-Corners activity: Corner 1 – like Coca Cola best, Corner 2 –
like Sprite best, Corner 3 – Dr. Pepper, Corner 4 – Sports Drinks, (or use vacation destinations, snacks,
sports)
Students practice one assessment item, targeted toward an SE that students find difficult according to
the data. Four copies of the same assessment item are used (hang one in each corner).
Corner groups are assigned one answer choice and must either …
Defend the answer to the class as “innocent of a crime” because it is the correct response.
Prosecute the answer in front of the class as “guilty of a crime” explaining why the answer is
the incorrect response.
Corner 1 focus on answer choice A, Corner 2 on answer choice B, Corner 3 on answer choice C, and
Corner 4 answer choice D.
Teacher decides to include this option: Your group MAY choose to try and trick the class by purposefully
defending an incorrect answer to make the other students identify a flaw in their reasoning.
Sage-N-SCRIBE
Teacher provides at least 2 problems for students to work in pairs.
Within each pair, decide who will take on which role for the first problem (“partner with the longer hair will
be the Sage for the first problem”).
The Sage talks through the problem and instructs the Scribe what to write on the paper.
The Scribe does not talk. He/she writes exactly what the Sage instructs, while thinking about accuracy of
the Sage’s procedures (but doesn’t give feedback yet).
Once the Sage is finished, the Scribe gives feedback on how the problem was solved.
Pairs switch roles for the next problem.
One STRAY
Put students in groups of 4 and give each student a number (1, 2, 3, or 4).
Groups work together to solve the first problem.
Everyone must record the group’s work on his/her own paper & everyone in the group should be able to
explain how the problem was solved.
Once all groups are finished the teacher calls out a number (1 through 4) and says “Stray!”
The selected number must go find another group and share how their original group solved the problem.
Their new group listens then gives feedback and/or shares any different strategies they used. Repeat
with the next problem (select a different person to “stray”).
SHOWDOWN
Teacher provides each group of 3-4 students with a set of problems, each one on a separate “card” (set
is face down in middle of table).
Each student has a dry erase board.
Showdown captain turns up first problem, reads it aloud, then everyone works alone to solve. Establish a
signal for when finished.
When showdown captain sees all are finished, he says “1, 2, 3, SHOWDOWN!” and everyone reveals
their work. Captain facilitates discussion and leads everyone in checking their answers. Once everyone
agrees on a correct solution and understands the process to solve the problem, the role of Showdown
Captain rotates to the next person.
Tour of Knowledge
1. Students are organized into groups (no more than 3 per group).
2. Each group is given a different colored marker.
3. Groups will rotate through stations observing a given assessment stimuli – no question and no answers
(i.e. graph, table, equation, verbal description, problem scenario, etc.).
4. Groups will be given three minutes at each station to record anything they know or notice about the
given stimuli on the provided chart paper. Groups may not repeat previously provided information from
the other groups. This is the “I Notice” or “I See” round of rotations.
5. Teacher may elect to reward the group that provided the most observant information, or unique
information, from each of the four posters.
6. Repeat steps #1-5; however, groups will now record a question that could be asked of the provided
stimulus. This is the “I Wonder” round of rotations.
7. Students work a problem associated to the given stimulus, identifying what information was needed to
answer the question.
Optional: If using stimuli from released items, show students the original questions to see how they
compare to the student-written questions.
Item #
Key
TEKS
1
A
8.7D
2
D
8.7B – readiness
3
C
8.11B
4
A
8.10C– readiness
5
C
8.5F
6
A
8.10B
7
D
8.7D
8
A
8.10C– readiness
9
B
8.5D– readiness
10
B
8.10A
11
A
8.4C– readiness
12
B; # of years when the
8.9
populations are equal
13
C
8.5I– readiness
14
B
8.5D– readiness
15
301.44
8.7A– readiness
16
D
8.5G– readiness
17
A
8.5G– readiness
18
A
8.3C– readiness
19
B
8.8C– readiness
20
A
8.5I– readiness
21
D
8.5A
22
B
8.5C
23
a) yes b) Andy’s
c) Bargain Hardware
8.4B & 8.5A
24
B
8.5A
25
B
8.5I– readiness
26
A
8.3A
27
i, ii, vi
8.5F
28
B
8.10C– readiness
29
B
8.5F
30
B
8.8D
31
A
8.10C
Teacher Notes / Student Data
32
D
8.7C– readiness
33
A
8.6A
34
C
8.8D
35
A
8.3C– readiness
36
D
8.5G– readiness
37
A
8.8C– readiness
38
C
8.5G– readiness
39
C
8.7A– readiness
40
D
8.8C– readiness
41
C
8.7C– readiness
42
C
8.4C– readiness
43
A
8.7A– readiness
44
A
8.4B– readiness
45
B
8.4C– readiness
46
A
8.5G– readiness
47
C
8.2D– readiness
48
B
8.5G– readiness
49
A
8.7B– readiness
50
C
8.7C– readiness
51
B
8.4B – readiness
52
B
8.3C – readiness
53
D
8.8D
54
C
8.12D – readiness
55
B
8.8D
56
B
8.11B
8th Grade Review Items
1. In the coordinate plane, what is the distance between (3, 5) and (3, 8)?
A
3 units
B
6 units
C
8 units
D
13 units
2. What is the surface area of the figure below?
A
54 ft2
B
84 ft2
C
72 ft2
D
90 ft2
3. Below are the grades for three students on five assignments. Each student has an average of 83.
Student 1: 77, 80, 100, 75, 83
Student 2: 82, 90, 80, 81, 82
Student 3: 83, 83, 84, 82, 83
Which statement is true about how their mean absolute deviations (MAD) compare?
A
The MAD of Student 3 is the greatest.
B
The MAD of Student 2 is the greatest.
C
The MAD of Student 1 is the greatest.
D
The MAD of all three students is the same.
4. Point Q is shown on the coordinate grid below.
Which statement correctly describes the relationship between the point (3, 2) and point Q?
A
It is a reflection across the x-axis.
B
It is a reflection across the y-axis.
C
It is the result of a translation described by (x + 5, y – 1).
D
It is the result of a translation described by (x + 4, y).
5. Jocelyn was shopping at a farmers’ market. She observed the prices of cucumbers at several
stands. Which sign shows a proportional relationship in the pricing of the cucumbers?
6. A sequence of transformations was applied to an equilateral triangle in a coordinate plane. The
transformations used were rotations, reflections, and translations. Which statement about the
resulting figure is true?
A It must be an equilateral triangle with the same side lengths as the original triangle.
B It must be an equilateral triangle, but the side lengths may differ from the original triangle.
C It may be a scalene triangle, and all the side lengths may differ from the original triangle.
D It may be an obtuse triangle with at least one side the same length as the original triangle.
7. The coordinates of the vertices of a rectangle are (–2, 3), (4, 3), (4, –4), and (–2, –4).
What are the dimensions of the rectangle?
A
1 unit by 2 units
B
1 unit by 6 units
C
7 units by 2 units
D
7 units by 6 units
8. Figure Q was the result of a sequence of transformations on figure P, both shown below.
Which sequence of transformations could take figure P to figure Q?
A
reflection over the x-axis and translation 7 units right
B
reflection over the y-axis and translation 3 units down
C
translation 1 unit right and 180° rotation about the origin
D
translation 4 units right and 180° rotation about the origin
9. The trend line below approximates the relationship shown in scatterplot.
Based on the trend line, what y-value corresponds to an x-value of 6?
A
4
B
6.4
C
5.5
D
7.5
10. Rectangle R undergoes a dilation with scale factor 0.5 and then a reflection over the y- axis. The
resulting image is Rectangle S. Which statement about Rectangles R and S is true?
A
B
C
D
They are congruent and similar.
They are similar but not congruent.
They are congruent but not similar.
They are neither congruent nor similar.
11. The table below shows the cost of different numbers of goldfish at a pet store.
The cost is a linear function of the number of goldfish. Which statement describes the
rate of change of this function?
A
The cost increases $0.30 each time 1 goldfish is added.
B
The cost increases $1.50 each time 1 goldfish is added.
C
The cost increases $3.00 each time 5 goldfish are added.
D
The cost increases $6.00 each time 5 goldfish are added.
12. The population growth of two towns over a period of five years is represented by the system of
equations below, both algebraically and graphically.
Which ordered pair is the solution to the system of equations?
A
(2, 6)
B
(4, 10)
C
(6, 2)
D
(10, 4)
What does this solution represent about this situation?
13. Which equation represents the relationship shown in the table below?
A
y=x–4
B
y = 2x + 9
C
y = 3x – 2
D
y = 3x – 5
14. A researcher studied the eyesight of people at different ages. She calculated a vision score for
each person in the study and plotted the data on the graph below.
The researcher used the line y = -0.1x + 110 to model the data. When she substituted
the value x =65 into this equation, what did the result tell her?
A
B
C
D
the exact value for the vision score of a 65-year-old
the predicted value for the vision score of a 65-year-old
the minimum possible value for the vision score of a 65-year-old
the maximum possible value for the vision score of a 65-year-old
15. A box contains 9 identical glass spheres that are used to make snow globes. The spheres are
tightly packed, as shown below. What is the total volume, in cubic inches, of all 9 spheres?
Bubble your answer in the grid provided. Use 3.14 for pi and round your answer to the nearest
tenth of a cubic inch.
16. The table below represents a relationship.
Which statement is true about the relationship shown in the table?
A
B
C
D
It is a proportional relationship.
The y-intercept is 5.
The slope is 4.
It is a linear function.
17. Which graph represents a function?
18. The circle shown below is centered at (0,0) and passes through point P located at (2,0).
The circle is dilated with the center of dilation at the origin and a scale factor of 0.5.
What will be the coordinates of the image of point P after this transformation?
A
(1, 0)
B
(4, 0)
C
(1, 0.5)
D
(1.5, 1)
19. The equation 5w + 3 = 4w + 9 is modeled below.
What value of w makes this equation true?
A
1
B
6
C
5
D
12
20. Which equation represents the line shown on the coordinate grid below?
21. Which equation has a constant of proportionality equal to 4?
A
4y = 4x
B
y=x+4
C
y=¼x
D
3y = 12x
22. The scatter plot below shows the sizes and annual rents of some office spaces in the downtown
area of a city.
Which best describes the association between office space and rent shown in the scatterplot?
A
No association
B
Positive linear association
C
Non-linear association
D
Negative association
23. The table shown below was posted on the wall at Andy’s Hardware to show the price of varying
lengths of chain-link fencing.
a.) Does this represent a proportional relationship? Explain.
b.) The price of the same fencing at Bargain Hardware can be determined by the
equation y = 2.5x where y is the price, in dollars, for x feet of fencing. Who has the
cheaper unit price per foot, Bargain Hardware or Andy’s Hardware?
c.) If both store’s pricing were graphed on the same coordinate grid, which store’s
graph would be steeper? Explain.
24. Chad built a scale model of a statue. He built the model 7 inches tall to represent the actual
height of 15 feet. Which equation below represents the relationship between the actual height
(a), in feet, and the height of the model (m), in inches?
7
𝑚
15
A
𝑎=
C
𝑎 = 0.75𝑚
7
𝑎
15
B
𝑚=
D
𝑚 = 0.75𝑎
25. Consider the values in the table below.
Which equation represents the data in the table?
5
8
A
y = 1.25x
B
y= x
C
y = 0.625x + 1.25
D
y = 1.6x – 1.95
26. Two similar quadrilaterals are shown below. The ratio of the lengths of the corresponding sides MN and
ST is 2:3, respectively.
What is the measure of RS?
A
18 centimeters
B
15 centimeters
C
14 centimeters
D
8 centimeters
27. Which options represent proportional relationships between x and y? Select all that apply.
i.
ii.
iii.
iv.
v.
vi.
28. Triangle PQR is shown on the coordinate plane.
Triangle PQR is rotated 90° counterclockwise about the origin to form the image triangle PQR
(not shown). What are the signs of the coordinates (x,y) of point Q?
A
B
C
D
Both x and y are positive.
x is negative and y is positive.
Both x and y are negative.
x is positive and y is negative.
29. The numbers of parts produced by three different machines are shown in the table. Only one of
the machines produces parts at a constant rate.
Which equation represents y, the number of parts produced in x minutes, for the one machine
that produces parts at a constant rate?
A
y = 3x
B
y = 8x
C
y = 6x
D
y = 9x
30. The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals. All lines
are in the same plane.
Based on this information, which pair of angles must be congruent?
A
 TUV   RTS
B
 TUV  RST
C
 TUV   TRS
D
 TUV   TVU
31. Consider the three figures shown below.
Which statement about these figures is true?
A
Triangle ABC is the transformation of triangle ABC after a reflection in the y-axis
followed by a translation 2 units to the right.
B
Triangle ABC is the transformation of triangle ABC after a reflection across the y-axis.
C
Triangle ABC is the transformation of triangle ABC after a reflection across the
line y = x.
D
Triangle ABC is the transformation of triangle ABC after a dilation by a scale factor
of 2, with the origin as the center of dilation.
32. A side view of a desk telephone is shown below.
Which of the following is closest to the value of x?
A
1.5 cm
B
3.75 cm
C
14.5 cm
D
5.5 cm
33. The cylindrical toothbrush holder modeled below has a diameter of 6.5 centimeters and a height of 9
centimeters. The shaded part represents the base of the cylinder.
Which equation can be used to find B, the area of this cylinder’s base in square centimeters?
34. The base of triangle ABC and the base of triangle DEF both lie on line m. The measure of 4 is less than
the measure of 8.
Based on this information, which statement is true?

A
m 3
 m 7
B
m 3
C
m 3
 m 7
D
m 3 + m 7 = m 8
m 7
35. Triangle EFG is shown on the grid below.
Triangle EFG is dilated with the origin as the center of dilation, using the rule (x,y)  (2.5x, 2.5y) to form
triangle EFG. Which ordered pair represents the coordinates of E  ?
A
(−10, 10)
B
(−2.5, 2.5)
C
(−6.5, 6.5)
D
(−8, 8)
36. The four tables below show relationships in which the x values represent inputs and the y values
represent the corresponding outputs.
Which table represents a relationship that is not a function?
A
Table Q
B
Table R
C
Table S
D
Table T
D
37. Triangle ABC and Triangle DEF are similar.
75
A
75
C
(2x + 5)
B
(7x – 10)
E
F
What is the value of x?
A
3
B
35
C
11
D
1
38. Which graph below does not represent y as a function of x?
39. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320π cubic
feet. What is the diameter, in feet, of the water tank?
A
16
B
10
C
8
D
4
40. Marette solved the equation 0.2(d – 6) = 0.3d + 5 – 3 + 0.1d. Her work is shown below.
Step 1 
Step 2 
Step 3 
Step 4 
Did Marette make a mistake, and if so, where did her mistake occur?
A
She made a mistake in Step 1.
B
She made a mistake in Step 3.
C
She made a mistake in Step 4
D
She did not make any mistakes.
41. In the drawing below, the dashed line segment represents the distance across a pond.
What is the actual distance, in yards, across the pond?
A
14 yards
B
10 yards
C
20 yards
D
28 yards
42. Students organized a 12-hour “dance-a-thon” as a fundraiser for their summer camp. The graph below
represents the amount of money they raised during the first 8 hours.
What is the slope and what does it represent in this situation?
1
A
The slope is . The students raised an additional $2 for every additional hour of dancing.
B
The slope is 60. The students raised an additional $60 for every additional hour of dancing.
C
The slope is 30. The students raised an additional $30 for every additional hour of dancing.
D
The slope is
2
1
30
. The students raised an additional $30 for every additional hour of dancing.
43. Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. Which of the following is the
best estimate of the volume of this cone?
A
60 in.3
B
30 in. 3
C
180 in. 3
D
90 in. 3
44. The Perry family joined a babysitting service. The service charges an initial flat fee for their one-time
membership charge and an additional $12 per hour for each job. Which graph could represent the
relationship between the hours of babysitting and total amount paid for the Perry family?
A
B
C
D
45. The graph shows the time it took a worker to package 16 bottles of shampoo.
What is the rate of change represented in this graph, and what does it represent?
A
B
2.5; The worker was able to package 2.5 bottles every minute.
2
5
; The worker was able to package 2 bottles every 5 minutes
C
2; The worker was able to package 2 bottles every minute.
D
0.4; The worker was able to package a bottle every 0.4 minutes
46. Which set of ordered pairs represents y as a function of x?
47. Which set of numbers is listed from least to greatest?
A
B
C
D
7
4 , 4.5%, √12, 3.06,
9
−8
−2
−2
−2
7
, 3.06, 4.5%, 4 , √12,
9
4.5%, 3.06, √12,
−8
−8
−8
−2
7
7
, 4 ,
9
, 4.5%, 3.06, 4 , √12
9
48. Which mapping represents a relationship where y is a function of x?
Relation #1
x
Relation #2
y
x
y
A
Relation #1 is a function
B
Relation #2 is a function
B
Both are functions
D
Neither are functions
49. Regina owns a drum that has a diameter of 14 inches and a height of 5.5 inches, as shown below. She
wants to build a case for the drum out of material so that it covers the entire surface area of the drum,
but needs to know how many square inches of material will be needed.
What is the approximate surface area of the drum?
A
550 square inches
B
770 square inches
C
846 square inches
D
1078 square inches
50. Which set could be the lengths of the sides of a right triangle? (all measures are in centimeters)
A
4, 6, 10
B
10, 10, 20
C
7.5, 10, 12.5
D
2, 4, 20
51. The graph below shows the relationship between the number of brownie recipes and the number of cups
of flour required.
Based on the information in the graph, what is the unit rate in cups of flour per recipe?
A
2 cups per recipe
B
2.5 cups per recipe
C
3 cups per recipe
D
1.5 cups per recipe
52. Rectangle ABCD is dilated to form rectangle A´B´C´D´ using the origin as the center of dilation.
Which algebraic representation best describes the dilation?
3
3
4
4
4
4
3
3
3
3
2
2
A
(x, y) → ( x, y )
B
(x, y) → ( x, y )
C
(x, y) → ( 2x, 2y )
D
(x, y) → ( x, y )
53. In the sketch below, ∆ABD has exterior angle ACD.
If the m∠1 = 56 and m∠2 = 54, what is the measure of ∠ACD?
A
70°
B
60°
C
120°
D
110°
54. Travis invests $25,000 in a savings account that pays 2.75% simple interest. How much interest does he
earn each year?
A
$787.50
B
$825.00
C
$657.50
D
$687.50
55. Lines l and m are parallel. The measure of angle 1 is 2x + 4 and the measure of angle 2 is 5x + 1.
What is the measure of angle 8?
A
25°
B
54°
C
126°
D
45°
56. The chart below shows the perimeters of six triangles the class created for a class project.
Which of the following best describes the mean absolute deviation of this data?
A
Less than 6 in.
B
Between 6 in. and 7 in.
C
Between 7 in. and 8 in.
D
Larger than 8 in.