Benchmark 2 Study Guide
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Andrew sold 45 tickets to the school play and Sara
C. 10.5 mi/h
sold 40 tickets. What is the ratio of the number of
D. 5.2 mi/h
tickets Andrew sold to the number of tickets Sara
sold?
6. Bars of soap come in packages of 5 and packages
A. 5 to 9
of 10. The 5-bar pack costs $5.95, and the 10-bar
B. 9 to 8
pack costs $10.40. Which is the better deal? What
C. 5 to 8
is the price per bar of the better deal?
D. 40 to 45
A. 10-bar pack at $1.04 per bar
B. 5-bar pack at $0.60 per bar
2. Cindy and Sarah were in charge of selling tickets to
C. 5-bar pack at $1.04 per bar
the class play. Cindy sold 21 tickets and Sarah sold
D. 5-bar pack at $1.19 per bar
77 tickets. What is the ratio of the number of tickets
Cindy sold to the number of tickets Sarah sold?
7. The following are various hot dog vendors’ prices.
A.
Joe sells for $1.50 a piece; Mike sells 2 for $2; Jen
sells for $1.25 a piece; and Sue sells 3 for $2.25.
B.
Who has the best deal?
A. Joe
C.
B. Mike
C. Jen
D. Sue
D.
3. There are 12 white shirts, 8 blue shirts, and 6 red
shirts on a rack. Which colors have a ratio of 3:4?
A. blue to white
B. red to white
C. blue to red
D. red to blue
4. Find the price per muffin
$6.80 for 9 muffins
A.
B.
C.
D.
5. A race walker completed a 13 mile walk in 2.5
hours. What is the walker's speed in miles per hour?
A. 0.19 mi/h
B. 32.5 mi/h
8. Which measurement is equivalent to 880 cm?
A. 88 mm
B. 0.88 km
C. 8.8 m
D. 8,800 km
9. Sandra needs 180 feet of purple ribbon to prepare
wedding decorations. How many yards of ribbon is
this?
A. 30 yd
B. 45 yd
C. 60 yd
D. 540 yd
10. Alicia runs for exercise. If Alicia runs 30 miles in
six days, how many feet does she run per day?
A. 8,800 ft
B. 22,629 ft
C. 26,400 ft
D. 158,400 ft
11. Raquel uses 13 oranges to make 1 cup of orange
juice. How many oranges would she use to make 1
gallon of juice?
A. 416 oranges
B. 208 oranges
C. 36 oranges
D. 13 orange
16
12. Foot Locker is having a sale. All sneaker that are
regulary priced at $70 are on sale for $45.50. What
percent off the orignal price is the sale price?
A.
B.
C.
D.
24.5%
25%
35%
65%
13. Stacy bought a dress at the Macy’s Super Saturday
sale for $54. She paid 75% of the original price,
what was the original price?
B. $72
C. $75
D. $90
14. A jar is filled with buttons of various colors. If the
jar has a total of 420 buttons and 85% of the
buttons are green, how many green buttons are in
the jar?
A. 335 green buttons
B. 35,700 green buttons
C. 63 green buttons
D. 357 green buttons
15. An airline is trying to promote its new Boston to
Atlanta flight. The usual price of this flight is $315.
However, the airline is offering a 40% discount
until the end of the month. How much will the
flight cost after the discount?
A. $126
B. $441
C. $189
D. $567
A. $40.50
16. Juana is making fruit salad. The table shows the numbers of apples and bananas needed for various amounts of
fruit salad. How many apples does Juana need to make 5 bowls of fruit salad?
Bowls of fruit salad
Apples needed
Bananas needed
2
12
14
4
24
28
A. 30
B. 35
C. 6
D. 7
17. The table shows the price of different numbers of
pairs of socks. Predict the cost of 5 pairs of socks.
A.
B.
C.
D.
D. 203
19. Which expression shows twelve less than a
number?
A.
B.
C.
$1.99
$5.99
$9.95
$9.99
18. What is the value of
A. 4
B. 22
C. 342
6
36
42
D.
?
20. Hendrick makes birdhouses. It takes him 35
minutes to make a birdhouse. What is an expression
that shows how long it takes him to make
birdhouses?
A.
B.
C.
D.
A.
B.
C.
D.
21. A person’s height at age 2 is about half of their
height as an adult. If Jeremy is inches tall at age
2, write an expression to show his age as an adult.
A.
B.
C.
D.
22. Rhonda is 4 inches taller than her friend Kadim. If
Kadim is
inches tall, write an expression to
show Rhonda’s height.
A.
B.
C.
D.
23. Identify the terms in the expression
A.
, , and
B. 3, 9, and
C.
and
D.
and
.
26. Evaluate
A.
B.
C.
D.
for
for
and
and
.
for
and
29. Determine whether the two expressions are
equivalent.
2(x + 5); 2x + 5
A. equivalent
B. not equivalent
30. Which expression is NOT equivalent to the
expression
?
A.
B.
C. 6
D.
32. On a 3-day weekend in February, Dakota went
to Orlando for vacation. The lowest
temperature during the weekend was
52 degrees Fahrenheit.
What inequality shows the
February Fahrenheit temperature, t, during
Dakota’s vacation?
A.
B.
C.
D.
.
12
18
27
9
27. Evaluate
28. Determine whether the two expressions are
equivalent.
6(x + 3); 6x + 18
A. equivalent
B. not equivalent
31. A grocery store sells rolls of toilet paper in
packages of 18. In order to make a profit, they
need to sell each package for more than
$6.84. If p stands for the price of one roll of
toilet paper, which inequality represents a
profitable price for 18 rolls of toilet paper?
A.
B.
C.
D.
24. In the expression
, 3 and 6 are
examples of which of the following?
A. terms
B. constants
C. coefficients
D. factors
25. Evaluate
A. 14
B. 9
C. 2
D. 20
2
8
16
24
.
34. If the volleyball team washes 9 more cars, then
they will have met their overall goal of washing
55 cars to raise money for their season. Let c
represent the number of cars that the volleyball
team has washed so far. Which of the
following equations can be used to solve for c?
A.
B.
C.
D.
35. Allison wants to buy a used skateboard, which
costs $16. She estimates that she can save $2
from her weekly allowance. Allison charts her
savings on a graph. After how many weeks will
she have saved enough to buy the
skateboard?
Allison’s Savings
y
Savings (dollars)
33. Spencer and Flor are collecting stamps for a
Social Studies project. Spencer has collected
20 stamps. Flor has more than 3 times that
amount, but has less than 70 stamps. Which of
the numbers below COULD BE the number of
stamps that Flor has?
A. 50
B. 75
C. 65
D. 55
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9
x
Weeks
A.
B.
C.
D.
9 weeks
8 weeks
16 weeks
2 weeks
36. A plumbing company charges an hourly rate of
$25 for labor. If the total charge for labor on a
job came to $75.00, which of the following
equations can be solved to find the number of
hours spent on the job? Let h represent the
number of hours.
A.
B.
C.
D.
37. Solve
A.
B.
C.
.
D.
41. Solve the equation
simplest form.
38. Solve the equation. Choose the answer in simplest
form.
A. w =
49
9
B. w =
1
9
7
9
w = 7. Express your answer in
A.
C. w = 9
B.
C.
D. w =
9
49
D.
39. A community farmers market has a different
number of farmers each week. The community
charges the farmers a fee of $27.25 for each
space used that week. Write an equation that
shows how much the community receives in
fees during a given week.
Use s to represent the unknown number of
spaces and t to represent the total fees
collected.
Solve the equation when
A.
.
42. Veronica is having a birthday party and plans to
order a large bouncy house for her guests to enjoy.
The bouncy house she is considering has a weight
limit of 1800 pounds. The salesperson tells her the
average adult weights 150lbs, the average child
weighs 100lbs and the air conditioner weighs
100lbs. The inequality below represents the number
of adults and children that can safely be in the
bouncy house at a time
150A+100C+100
If there are 4 adults in the bouncy house for
supervision how many children can safely join
them?
A.
B.
C.
D.
B.
1800
10
12
15
23
C.
43. Simon has $315 to buy MP3 players for 5 people.
Each MP3 player costs $m, with a $4 packing fee
per player and a $10 shipping fee per order.
D.
The inequality 5(m + 4) + 10  315 represents the
situation.
40. Solve
A.
B.
C.
D.
.
Suppose each MP3 player costs $55. Does Simon
have enough money to buy an MP3 player for each
person? Explain.
A. No, because the total cost is $1110
and $1110$315.
B. No, because the total cost is $335
and $335$315.
D. Yes, because the total cost is $305,
and $305$315.
C. Yes, because the total cost is $285,
and $285$315.
Short Answer
44. A student club needs to collect a minimum of 85 cans in their annual can drive to reach their goal.
Part A Write an inequality to show the number of cans they can collect if they have reached their goal.
Part B Represent the solutions of this inequality on a number line.
Benchmark 2 Study Guide
Answer Section
MULTIPLE CHOICE
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NT.CCSS.MTH.10.6.6.RP.1
NT.CCSS.MTH.10.6.6.RP.1
NT.CCSS.MTH.10.6.6.RP.1
NT.CCSS.MTH.10.6.6.RP.2
NT.CCSS.MTH.10.6.6.RP.2
NT.CCSS.MTH.10.6.6.RP.2 | NT.CCSS.MTH.10.6.6.RP.3.b
NT.CCSS.MTH.10.6.6.RP.3.b
NT.CCSS.MTH.10.6.6.RP.3.d
NT.CCSS.MTH.10.6.6.RP.3.d
NT.CCSS.MTH.10.6.6.RP.3.d
NT.CCSS.MTH.10.6.6.RP.3.d
MCC.6.RP.3c
MCC.6.RP.3c
NT.CCSS.MTH.10.6.6.RP.3.c
NT.CCSS.MTH.10.6.6.RP.3.c | NT.CCSS.MTH.10.7.7.EE.3
NT.CCSS.MTH.10.6.6.RP.3.a
NT.CCSS.MTH.10.6.6.RP.3.a
NT.CCSS.MTH.10.6.6.EE.1 | NT.CCSS.MTH.10.6.6.EE.2.c
NT.CCSS.MTH.10.6.6.EE.2.a
NT.CCSS.MTH.10.6.6.EE.2.a
NT.CCSS.MTH.10.6.6.EE.2.a
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NT.CCSS.MTH.10.6.6.EE.2.b
NT.CCSS.MTH.10.6.6.EE.2.b
NT.CCSS.MTH.10.6.6.EE.2.c
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NT.CCSS.MTH.10.6.6.EE.4
6: 6.EE.8
6: 6.EE.8
6: 6.EE.8
6: 6.EE.7
6: 6.EE.9
6: 6.EE.7
NT.CCSS.MTH.10.6.6.EE.7
NT.CCSS.MTH.10.6.6.EE.7
6: 6.EE.7
NT.CCSS.MTH.10.6.6.EE.7
NT.CCSS.MTH.10.6.6.EE.7 | NT.CCSS.MTH.10.6.6.NS.1
42. ANS: A
43. ANS: D
NAT: MCC.6.EE.5
NAT: NT.CCSS.MTH.10.6.6.EE.5
SHORT ANSWER
44. ANS:
Example of a Top-Score Response:
Part A
Part B
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NAT: 6: 6.EE.8
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