Name:___________________________________________________________ Date:_____________
NYS 7th Grade Math Assessment Review By Standard
NYS Math Exam
Tuesday, May 2, 2017: Book 1 – Multiple Choice, No Calculator
Wednesday, May 3, 2017: Book 2 – Multiple Choice, Calculator Allowed
Thursday, May 4, 2017: Book 3 – Extended Response, Calculator Allowed
This packet is just one resource to be used for state exam preparation. Past exam questions have been
compiled, by New York State curriculum standard, to serve as an opportunity for review. Question sets will be
assigned in class. Answer sets will be provided after assignments to give students and opportunity to check
their work. After completing the assigned problems, focus on the sections you had difficulty with. Questions
labeled “No Calculator” should be attempted without a calculator, since they were given on the Book 1 portion
of the exam which does not allow a calculator.
To conserve paper, questions were condensed. Nearly all question require work to be shown, especially
extended response questions.
ALL WORK SHOULD BE DONE ON A SEPARATE PIECE OF PAPER!
Grade 7 Mathematics Reference Sheet
7.NS.1d
______1. What is the value of the expression below? (2013)
3
4
3
5
+ (− ) + (− ) +
8
5
8
4
A. 0
B.
1
C.
20
9
4
D. 2 5
20
______2. Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had
decreased by 15.7 degrees. What was the temperature at midnight? (2015)
A. −4.3 °F
B. −11.4 °F
C. −15.7 °F
D. −27.1 °F
______3. What is the value of the expression below? (2016) (no calculator)
2
3
−0.75 − (− ) + 0.4 + ( - )
5
4
A. - 1.5
B. - 0.7
C. 0.8
4. Graham’s monthly bank statement showed the following deposits and withdrawals:
−$25.20, $52.75, −$22.04, −$8.50, $94.11
If Graham’s balance in the account was $47.86 at the beginning of the month, what was the account
balance at the end of the month?
(2014)
Show your work.
Answer $_______________
______5. Altitude above sea level is given in positive values and below sea level is given in negative
values. Which situation describes a hiker in Death Valley stopping at an altitude of 0 feet?
(2015)
A.
B.
C.
D.
The hiker starts at −10 feet then increases altitude by 10 feet.
The hiker starts at −10 feet then decreases altitude by 10 feet.
The hiker starts at 10 feet then increases altitude by 10 feet.
The hiker starts at 0 feet then decreases altitude by 10 feet.
D. 2.3
7.NS.1c
_____6. Which expression is equivalent to 4 – (-7) ?
A. 7 + 4
(2016)
B. 4 – 7
C.
-7 – 4
D. - 4 + 7
7.NS.2a
______7. What is the product of
A. -
1
4
3
7
(- ) x (- ) ?
7
12
(2015)
3
B. - 28
C.
3
28
D.
7
12
7.NS.2d
7
_____8. What is the decimal equivalent of
A. 0.780
_____9. Convert
3
11
8
?
B. 0.870
(2015)
C. 0.875
D. 0.885
to a decimal equivalent using long division.
(2014)
Show your work.
Answer _______________
7.NS.2b
_____10. The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After
traveling for 15 seconds, the elevator is 20 feet below ground level. Which statement
describes the elevator’s rate of change in elevation during this 15 second interval? (2016)
A. The elevator traveled upward at a rate of 6 feet per second.
2
B. The elevator traveled upward at a rate of 4 feet per second.
3
C. The elevator traveled downward at a rate of 6 feet per second.
2
D. The elevator traveled downward at a rate of 4 feet per second.
3
7.NS.2c
5
_____11. A number, n, is multiplied by − 8. The product is - 0.4. What is the value of n ? (2016)
(no calculator)
A. −
16
25
B. −
1
4
C.
1
4
D.
16
25
_____12. What is the value of the expression? (2016) (no calculator)
8
÷ (−0.35)
15
A. −
75
B. −
14
32
C.
21
−
21
D.
32
−
14
75
7.NS.3
_____13. The table shows prices for shoe rental, games, and snacks at the bowling alley.
Gina rented shoes, bowled 3 games, and bought 1 order of nachos. She used a coupon
1
for off the price of her bowling games. What was Gina’s total cost before tax was
2
added?
(2014)
A. $5.75
B. $6.00
C. $8.25
D. $12.00
_____14. Scientists determined that Antarctica’s average winter temperature was −34.44°C. The
difference between this temperature and Antarctica’s highest recorded temperature
was 49.44 degrees. What was Antarctica’s highest recorded temperature?
(2014)
A. −83.88°C
B. −15°C
C. 15°C
D. 83.88°C
_____15. Evaluate.
(2015) (no calculator)
(−
A. −6.8
_____16.
What is the value of (
A. −1
5
16
7
10
) ÷ (−0.125)
+ .15
B. −4.4
C. 4.4
− 14 − 12) ÷ (− 47 )?
B. −
3
7
C.
3
7
(2015)
D. 6.8
(no calculator)
D.
5
1 16
_____17. Travis, Jessica, and Robin are collecting donations for the school band. Travis wants to collect
20% more than Jessica, and Robin wants to collect 35% more than Travis. If the students meet
their goals and Travis collects $43, how much money did they collect in all?
(2015)
A. $106.78
B. $128.60
C. $136.88
D. $144.99
1
15
2
_____18. Amber determined that the expression
41 is equivalent to 82 . Which statement
−
15
−
describes the process Amber could have used?
(calculator allowed)
(2015)
1
A. She divided − by -15 and then divided the result by 41.
2
1
B. She multiplied − by -15 and then divided the result by 41.
2
1
C. She divided − by -15 and then multiplied the result by 41.
2
D. She multiplied −
1
2
by -15 and then multiplied the result by 41.
_____19. A pile of newspapers in Ms. McGrath’s art class was 17
3
4
inches high. Each consecutive week,
for the next 5 weeks, the height of the pile of newspapers increased by
the height, in inches, of the pile after 3 weeks?
A. 25
3
4
B. 26
(calculator allowed)
1
C. 42
4
2
3
7
8 12 inches. What was
5
6
1
(2015)
D.
4
43
1
2
( − )
_____20. What is the value of the expression
A. −
2
9
_____21. Last week Rachel power walked 2
also jogged 5
B. −
1
8
3
4
?
(2016) (no calculator)
C.
1
D.
8
2
9
3
miles per day on each of the 7 days. During the same week, she
5
3
miles per day on 4 days. What was the total number of miles Rachel power walked and
4
jogged last week?
(2015)
Show your work.
Answer________________miles
22. Three friends own a landscaping business. The number of hours each friend spent on the same
project is shown in the table below.
HOURS WORKED ON LANDSCAPING PROJECT
Name
Hours Worked
Edgar
Kelly
Shawn
17
1
4
18
1
4
14
1
2
In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for future
expenses. They then divided the rest proportionally based on the number of hours each worked. How
much money did Shawn receive? (2016)
A. $209.53
B. $240.84
C. $283.48
D. $295.11
23. Explain the steps needed to determine the value of the expression shown below. Be sure to provide
the correct value of the expression in your explanation. (2016)
1
2 + (− 1)
2
4
−
5
Answer ____________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
24. Ruby’s Market sells smoked meats by the pound. The prices for several different meats are shown in
the table. (2016)
RUBY”S MARKET PRICES
Type of Meat
Price per pound
Beef
$4.25
Chicken
$2.50
Sausage
$3.25
Turkey
$2.85
How much more does 1
1
4
1
pounds of beef cost than 1 pounds of turkey?
4
Show your work.
Answer $ ___________________________
(#24 is continued on the next page)
1
2
24. (CONTINUED FROM PREVIOUS PAGE) Brad has $10 to spend at Ruby’s. He orders pound of sausage and
1
4
1 pounds of chicken. How much money will Brad have left after he pays for this order?
Show your work.
Answer $ ___________________________
7.RP.1
2
_____25. A crew of highway workers paved 15 mile in 20 minutes. If they work at the same
rate, what portion of a mile will they pave in one hour?
(2013)
1
2
2
5
A. 150
B. 45
C. 5
D. 2
1
_____26. The label on a 1 2-pound bag of wildflower seeds states that it will cover an area of
375 square feet. Based on this information, what is the number of square feet that
1 pound of wildflower seeds will cover?
(2014)
A.
1
1
B. 250
250
C. 562 2
D. 750
1
______27. Ms. Graves gave her class 12 minutes to read. Carrie read 5 2 pages in that time.
At what rate, in pages per hour, did Carrie read?
(2014)
1
A. 1 10
1
B. 22
1
1
3
4
_____28. A recipe requires cup of milk for each
C. 27 2
D. 66
cup of water. How many cups of water are
needed for each cup of milk?
A.
(2015)
1
B.
12
3
C.
4
11
D. 1
12
1
3
1
_____29. Gary buys a 3 2 - pound bag of cat food every 3 weeks. Gary feeds his cat the same
amount of food each day. Which expression can Gary use to determine the number of
pounds of cat food his cat eats each year? (1 year = 52 weeks)
(2015)
A.
7
2
𝑥
52
3
B.
7
2
𝑥
3
52
1
C. 3 ( 2 𝑥
3
52
)
1
D. 3 ( 2 𝑥
52
3
)
1
_____30. A recycling plant processes an average of 3 ton of glass each minute. At
approximately what rate does the recycling plant process glass, in tons per day?
(1 day = 24 hours)
(2016)
A. 20
B. 180
C. 480
D. 4,320
_____31. Wallpaper was applied to one rectangular wall of a large room. The dimensions of the
wall are shown below.
If the total cost of the wallpaper was $771.12, what was the cost, in dollars of the
wallpaper per square foot. (2016)
A. $0.61
B. $0.72
1
C.$1.39
D. $1.65
1
32. A pine tree measured 40 2 feet tall. Over the next 7 2 years, it grew to a height of 57 feet.
1
During the 7 years, what was the average yearly growth rate of the height of the tree?
2
Show your work.
(2013)
Answer __________feet per year
7.RP.2d
______33. The relationship between the length of one side of a square, x , and the perimeter of the square, y,
can be represented in an xy-plane by a straight line. Which of the points with coordinates (x, y ) lie
on the line?
(2013 or 2014)
A. (2, 6)
B. (2, 8)
C. (6, 2)
D. (8, 2)
______34. The graph below shows the relationship between the number of people in a group and
the total cost of admission tickets for a circus.
(2015)
What point on the graph represents the unit rate?
A. (0, 0)
B. (1, 15)
C. (15, 1)
D. (8, 120)
7.RP.3 Percent and Money
_____35. Suzanne bought a sweater at the sale price of $25. The original cost of the sweater
was $40. What percent represents the discount that Suzanne received when buying
the sweater?
(2013)
A. 15%
B. 37.5%
C. 60%
D. 62.5%
_____36. Julia’s service charge at a beauty salon was $72.60, before tax. The sales tax rate
was 8%. If she added 20% of the amount before tax as a tip, how much did she pay
for the service at the salon?
(2013)
A. $87.12
B. $92.93
C. $100.60
D. $145.20
_____37. The Lions won 16 games last year. This year the Lions won 20 games. What is the
percent increase in the number of games the Lions won from last year to this year?
(2014)
A. 20%
B. 25%
C. 80%
D. 125%
_____38. A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the
percent decrease in the number of bicycles sold from last year to this year? (2014)
A. 12%
B. 14%
C. 78%
D. 88%
_____39. Charis invested $140. She earned a simple interest of 3% per year on the initial
investment. If no money was added or removed from the investment, what was the
amount of interest Charis received at the end of two years?
(2014)
A. $4.20
B. $6.00
C. $8.40
D. $12.60
_____40. A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the
purchase price. The customer was charged a 7% tax when the DVD was sold. What
was the customer’s total cost for the DVD?
(2014)
A. $12.84
B. $18.42
C. $18.84
D. $19.26
_____41. During a sale, a store offered a 40% discount on a particular camera that was originally
priced at $450. After the sale, the discounted price of the camera was increased by
40%. What was the price of the camera after this increase?
(2015)
A. $252
B. $360
C. $378
D. $450
_____42. Each sales associate at an electronics store has a choice of the two salary options
shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission
The average of the total sales amount for each associate last year was $125,000.
Based on this average, what is the difference between the two salary options each year?
(52 weeks = 1 year)
A. $4,262.11
B. $5,545.00
C. $10,956.90
D. $11,525.00
_____43. A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold
the boat for 30% more than the auction price. The salesperson received a commission
of 25% of the difference between the auction price and the dealership price. What was
the salesperson’s commission?
(2015)
A. $750
B. $1,750
C. $3,250
D. $5,500
_____44. Lehana and Marty each opened a savings account with a deposit of $100.
 Lehana earned 2.5% simple interest per year
 Marty earned 2% simple interest per year
 Neither of them made additional deposits or withdrawals
How much more did Lehana receive in interest than Marty after three years? (2016)
(no calculator)
A. $0.50
B. $1.50
C. $5.00
D. $15.00
_____45. A clothing store used the sign shown below to advertise a discount on shirts.
Ky wants to buy three shirts, which were originally priced $49.96 each. The store will
discount the price of the third shirt and then apply a 7.1% tax to the total cost of all
three shirts. Including the tax, what will be the mean cost of each shirt? (2016)
A. $41.99
B. $42.70
C. $44.59
D. $45.18
_____46. Last year 950 people attended a town’s annual parade. This year 1,520 people
attended. What was the percent increase in attendance from last year to this year?
(2016)
A. 37.5%
B. 57%
C. 60.0%
D. 62.5%
47. Kelsie sold digital cameras on her web site. She bought the cameras for $65 each and
included a 60% markup to get the selling price. To the nearest dollar, what was the selling
price for one camera?
(2014)
Show your work.
48. A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales
tax of 8% was added. The group then tipped 18% on the amount after the sales tax
was added. What was the amount, in dollars, of the sales tax?
(2013)
Show your work.
Answer $_________
What was the total amount the group paid, including tax and tip?
Show your work.
Answer $________
.
49. Mrs. Hamilton worked for a real estate agency. She sold a house for $175,000. The
agency’s fee for the sale was 4% of the sale price. Mrs. Hamilton received $4,725 of the
agency’s fee as her commission. What percent of the agency’s fee did Mrs. Hamilton
receive? Round your answer to the nearest tenth of a percent.
(2014)
Show your work.
Answer __________%
50. A home improvement store sold wind chimes for $30 each. A customer signed up for a free
membership card and received a 5% discount off the price. Sales tax of 5% was applied
after the discount. What was the final price of the wind chime? (2016)
Show your work.
Answer $___________________
51. The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally priced
$72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble’s web site for $54.75. A 9%
processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for
each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
(2016)
Show your work.
Answer $___________________
7.EE.1
_____52. Which expression represents the sum of (2x − 5y) and (x + y)?
A. 3x − 4y
B. 3x − 6y
C. x − 4y
_____53. Which expression is equivalent to (7x − 5) − (3x − 2)?
A. 10x − 7
B. 10x − 3
C. 4x − 7
(2013)
D. x − 6y
(2014)
D. 4x − 3
_____54. The expression below was simplified using two properties of operations.
Step 1
Step 2
Step 3
5(11z + 29 + 6z)
5(11z + 6z + 29)
5(17z + 29)
85z + 145
Which properties were applied in Steps 1 and 3, respectively?
A.
B.
C.
D.
commutative property, then distributive property
commutative property, then identity property
associative property, then distributive property
associative property, then commutative property
(2014)
_____55. Which expression is equivalent to 4.8 + 2.2w − 1.4w + 2.4 ?
A. 0.4(6 + 2w)
B. 0.8(9 + w)
C. 1.6(3 + 2w)
(2014)
D. 3.6(2 + w)
_____56. The three steps shown below were used to find an expression equivalent to
2
5
(15x − 30y) + 10x
(2015)
Step 1:
?
Step 2: 16x – 12y
Step 3: 4(4x – 3y)
A.
2
(25x − 30y)
5
B. 6x − 12y + 10x
C. 6x − 30y + 10x
D. 15(x − 2y) + 10x
_____57. Which expression represents a factorization of 32m + 56mp ?
A. 8(4m + 7p)
B. 8(4 + 7)mp
(2015)
C. 8p(4 + 7m)
D. 8m(4 + 7p)
_____58. Which expression is equivalent to 8c + 6 − 3c – 2 ?
A. 5c + 4
B. 5c + 8
_____59. Which expression represents the product of 3 and
A. 5.55n
(2015)
B. 9.15n
C. 11c + 4
D. 11c + 8
5
(4 𝑛 + 1.8)?
(2016)
C. 3.75n +1.8
D. 3.75n +5.4
_____60. Which expression is equivalent to the expression -3(4x – 2) – 2x ?
A. -8x
B. -16x
(2016)
C. -14x – 2
D. -14x + 6
7.EE.2
_____61. Leo bought a used car for x dollars. One year later the value of the car was 0.88 x .
Which expression is another way to describe the change in the value of the car?
(2013)
A. 0.12% decrease
B. 0.88% decrease
C. 12% decrease
D. 88% decrease
_____62. The population of a city is expected to increase by 7.5% next year. If p represents the
current population, which expression represents the expected population next year?
(2014)
A. 1.75p
B. 1.075p
C. p + 0.075
D. 1+ 0.075
_____63. Sammy drew a rectangle that was w inches wide. The expression 2(2w) + 2(w)
represents the perimeter of the rectangle that Sammy drew. Which statement relates
the perimeter to the width of the rectangle?
(2014)
A.
B.
C.
D.
The perimeter is 6 inches more than the width.
The perimeter is 6 times the width.
The perimeter is 2 inches more than the width.
The perimeter is 2 times the width.
_____64. Sally has a discount card that reduces the price of her grocery bill in a certain grocery
store by 5%. If c represents the cost of Sally’s groceries, which expression represents
Sally’s grocery bill?
(2014)
A. 0.05c
B. 0.95c
C. c − 0.05
D. c + 0.95
_____65. The original selling price of a share of stock was d dollars. The selling price for a
share of the same stock at a later date was represented by the expression
1.15(0.95d). Which description could explain what happened to the price of the share
of stock?
(2016)
A.
B.
C.
D.
The price decreased by 5% and then increased by 0.15%
The price decreased by 95% and then increased by 0.15%
The price decreased by 5% and then increased by 15%
The price decreased by 95% and then increased by 15%
_____66. Lance bought n notebooks that cost $0.75 each and p pens that cost $0.55 each. A
6.25% sales tax will be applied to the total cost. Which expression represents the total
amount Lance paid, including tax?
(2016)
A. 0.0625(n + p) + 0.0625(0.75n + 0.55p)
B. (0.75n + 0.55p) + 0.0625(0.75n + 0.55p)
C. 0.75(0.0625n) + 0.55(0.0625n)
D. 0.75(1.0625n) + 0.55(1.0625n)
7.EE.3
_____67. David bought a computer that was 20% off the regular price of $1,080. If an 8% sales
tax was added to the cost of the computer, what was the total price David paid for it?
(2013)
A. $302.40
B. $864.00
C. $933.12
D. $1,382.40
3
_____68.. Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 4
1
5
hours cleaning, 2 3 hours doing paperwork, and 1 12 hours serving customers. What
were Doug’s earnings?
(2014)
A. $46.97
B. $47.25
C. $53.00
D. $57.75
_____69. Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot,
including sales tax. If Salid paid with a $100.00 bill, how much change should he have
received?
A. $20.00
B. $38.75
C. $61.25
(2015)
D. $80.00
_____70.. What is the value of the expression below? (2016) (no calculator)
1
3
(3 − 9 ) ÷ (−2.5)
2
4
A. -2.5
B. -2.3
C. 2.3
D. 2.5
71. Patel bought a model rocket kit from a catalog. The price of the kit was $124.95. The state
sales tax of 7% was added, and then a $10 charge for shipping was added after the sales
tax. What was the total amount Patel paid, including tax and shipping cost?
(2013)
Show your work.
Answer $______________
Patel received an allowance of $15 per week. How many weeks will it take him to purchase
the kit?
Show your work.
Answer _______________ weeks
1
72. Ms. Donaldson earns $18.80 per hour for the first 40 hours she works in a week. She earns 1 times
2
that amount per hour for each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5
hours. How much money did she earn?
(2014)
Show your work.
Answer $ ____________________________
A health insurance payment of $34.55 was deducted from Ms. Donaldson’s earnings for the week.
After the insurance deduction, payroll taxes equal to 28% of the balance were deducted. What was the
amount that Ms. Donaldson received?
Show your work.
Answer $ _________________________________
73. A scientist uses a submarine to study ocean life.
• She begins at sea level, which is at an elevation of 0 feet.
• She travels straight down for 90 seconds at a speed of 3.5 feet per second.
• She then travels directly up for 30 seconds at a speed of 2.2 feet per second.
After this 120-second period, how much time, in seconds, will it take for the scientist to travel back to sea
level at the submarine’s maximum speed of 4.8 feet per second? Round your answer to the nearest tenth of
a second.
(2015)
Show your work.
Answer _________________________ seconds
74. Trent is fishing from a pier.
3

The tip of his fishing rod is 53 feet above the surface of the water.

The hook on the end of the fishing line is directly below the tip of the fishing rod 12 feet below the
3
surface of the water.
4
2
Trent estimates that the distance between the tip of his fishing rod and the hook is less than 65 feet.
Is Trent’s estimate reasonable? Explain your answer.
Answer :
Trent lets his hook drop another 10 inches. What is the distance, in feet, between the tip of the
fishing rod and the hook? Do not round your answer.
Show your work
7.EE.4a
_____75. Which steps can be used to solve for the value of y ?
2
3
(2013)
(y + 57) = 178
A. divide both sides by
2
3
, then subtract 57 from both sides
B. subtract 57 from both sides, then divide both sides by
C. multiply both sides by
D. subtract
2
3
2
3
2
3
, then subtract 57 from both sides
from both sides, then subtract 57 from both sides
______76. Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The
total charge was $320. Which equation can be used to determine how much the electrician
charged per hour?
(2013)
A. 5x = 320 + 70
B. 5x = 320 – 70
C. (70 + 5)x = 320
D. (70 − 5)x = 320
_____77. Solve for x .
(2014)
0.5x + 78.2 = 287
A. x = 104.4
B. x = 417.6
C. x = 495.8
D. x = 730.4
______78. Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20.
The items she bought cost a total of $160 before tax was added. What was the cost
of each sweater?
(2014)
A. $20
B. $35
C. $40
D. $45
_____79. The perimeter of a certain pentagon is 10.5 centimeters . Four sides of this pentagon have
the same length, in centimeters, h, and the other side has a length of 1.7 centimeters, as
shown below.
(no calculator)
(2016)
What is the value of h ?
A. 2.2
B. 3.7
C. 4.8
D. 8.8
_____80. Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus
$3 per mile. The total fare was $24, not including the tip. How many miles did Mike travel by
taxi on this ride?
(2016)
A. 2
B. 6
C. 8
D. 10
_____81. When Keisha installed a fence along the 200-foot perimeter of her rectangular back yard, she
left an opening for a gate. In the diagram below, she used x to represent the length, in feet,
of the gate.
(2016)
What is the value of x?
A. 10
B. 20
C. 25
D. 30
82. Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29,
including tax, and some bracelets that cost $4.50 each, including tax. Write an equation to
determine x, the maximum number of bracelets Mr. Gonzales could buy.
(2014)
Equation _____________________________________________
Solve the equation to determine the number of bracelets Mr. Gonzales could buy.
Show your work.
Answer ___________ bracelets
83. Members of a baseball team raised $967.50 to go to a tournament. They rented a bus for $450.00
and budgeted $28.75 per player for meals. They will spend all the money they raised. Write and solve
an equation that models this situation and could be used to determine the number of players, p, the
team could bring to the tournament.
(2015)
Show your work.
Answer _________________________ players
84. Ms. Hernandez has $100 to spend on parking and admission to the zoo. The parking
will cost $7, and admission tickets will cost $15.50 per person, including tax. Write
and solve an equation that can be used to determine the number of people that she
can bring to the zoo, including herself.
(2016)
Show your work.
Answer _________________________ people
7.EE.4b Inequalities
_____85. Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each
game. What was the greatest number of games Craig could have played?
(2014)
A. 4
B. 5
C. 6
D. 7
_____86. Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in
an 8-hour workday. What is the least number of deliveries he must make to reach his goal?
(2015)
A. 11
B. 12
C. 13
D. 14
_____87. Addison wants to ride her bicycle more than 80 miles this week. She has already ridden her
bicycle 18 miles. Which inequality could be used to determine the mean number of miles, m,
she would need to ride her bicycle each day for six more days to achieve her goal?
(no calculator) (2016)
A. 6m + 18 < 80
B. 6m - 18 < 80
C. 6m + 18 > 80
D. 6m - 18 > 80
_____88. A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount
of weight that can be loaded onto the trailer is 1,050 kilograms. An 82-kilogram crate has already been
loaded onto the trailer. What is the greatest number of 40-kilogram crates that can also be loaded onto
the trailer? (no calculator) (2016)
A. 24
B. 25
C. 26
D. 27
89. Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.75
each and one box of crackers that costs $3.50. Write and solve an inequality that models this situation
and could be used to determine the maximum number of bags of fruit, b, Harper can buy.
Show your work.
(2015)
Answer _________________________ bags of fruit
7.EE.7b
_____90. For her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep
her bill under $60 per month. Which inequality represents the number of texts, t, Heather can
send each month while staying within her budget?
A. t < 600
B. t > 600
C. t < 1,800
D. t > 1,800
7.SP.1
_____91. A school principal wants to determine which type of speaker the students prefer to
invite to an assembly for the entire student population. Which survey method would
produce the best representative sample?
(2016)
A. survey every fifth person who shops at a mall
B. survey all the students on the student council
C. survey every tenth student entering the school one morning
D. survey all of the students who went to the last basketball game
7.SP.2
_____92. Laticia randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 51 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?
(2014)
A. 15
B. 75
C. 150
D. 200
_____93. To select a new school mascot, 20 randomly selected students in each grade were
asked to choose between the two finalists: tiger and eagle. The results are shown
below.
(2014)
Which statement is best supported by the results?
A. The preferred mascot is a tiger.
B. The preferred mascot is an eagle.
C. Fifth and sixth grade students at the school preferred an eagle mascot.
D. Seventh and eighth grade students at the school preferred an eagle mascot.
94. Two math classes took the same quiz. The scores of 10 randomly selected students from
each class are listed below.

Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65

Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85
Based on the medians of the scores for each class, what inference would you make about the quiz
scores of all of the students in Class A compared to all of the students in Class B? Explain your
reasoning to justify your answer. (2016)
7.SP.3
_____95. Ms. Andrews made the line plots below to compare the quiz scores for her first-period
math class and her second-period math class. She gave the same quiz to each class.
What conclusion can Ms. Andrews make about the performance of her first- and
second-period classes?
(2014)
A. The first-period class had a higher median score than the second-period class.
B. The second-period class scores had a higher mean than the first-period class scores.
C. The first-period class scores had a greater range than the second-period class scores.
D. The second-period class scores had a greater mean absolute deviation than the first period class
scores.
7.SP.5
Lesson Summary

Probability is a measure of how likely it is that an event will happen.

A probability is a number between 0 and 1.

The probability scale is:
Probability Scale
0
1/2
Unlikely
Impossible
1
Equally Likely to
Occur or Not Occur
Likely
Certain
_____96. Sara is playing a board game. The probability that Sara will score a point on her next
1
turn is . Which statement describes the probability that Sara will score a point on her next
3
turn?
A. likely
B. certain
C. unlikely
D. impossible
_____97.
(2015)
Which event is most likely to occur? (2016) (no calculator)
A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the
marble being red
C. rolling a fair number cube, with the faces labeled one to six, and the cube landing on
a number less than six
D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the
arrow landing on a number greater than one
7.SP.6
_____98. Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number
cube 300 times. Which result is most likely?
(2013)
A. Cassie will roll a 1 or a 2 about 50 times.
B. Cassie will roll a 1 or a 2 exactly 50 times.
C. Cassie will roll an even number about 150 times.
D. Cassie will roll an even number exactly 150 times.
_____99. An owner of a small store knows that in the last week 54 customers paid with cash,
42 paid with a debit card, and 153 paid with a credit card. Based on the number of
customers from last week, which fraction is closest to the probability that the next
customer will pay with cash?
(2014)
A.
1
5
B.
1
4
C.
1
3
D.
1
2
_____100. A storeowner made a list of the number of greeting cards sold last month. The store
sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these
data, which number is closest to the probability that the next customer will buy a blank
card?
(2014)
A. 0.11
B. 0.33
C. 0.56
D. 0.89
_____101. The results for a survey of 120 students who were selected randomly are listed below:



60 students have a cell phone plan with company X
36 students have a cell phone plan with company Y
24 students do not have a cell phone plan
The total population of students was 380. Based on the data, what is the best
approximation for the total number of students who have a cell phone plan with
company Y? (2016)
A. 114
B. 127
C. 143
D. 163
_____102. The school bus Evie rides is scheduled to arrive at her stop at 8:20 a.m. each day. The
table below shows the actual arrival times of the bus for several days that were
randomly selected over the past few months.
(2015)
Based on these data, what is the probability that the bus will arrive at Evie’s stop before
8:20 a.m. tomorrow?
A.
3
B.
10
1
3
C.
7
D.
20
13
20
103. An after school program offers tutoring for different subjects. During the last month, a
teacher recorded the number of students who participated in the tutoring in each subject, as
shown in the table below.
Tutoring Participation
Subject
Number of Students
Math
40
Science
55
English
47
History
58
Explain how the teacher could use this data to predict about how many of the next 100
students will participate in math tutoring. (2016)
7.SP.7b
_____104. A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors.
The colors of the rings in each of 50 cereal boxes are shown in the table below. (2015)
Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring?
A.
1
B.
6
2
5
C.
3
5
D.
2
3
7.SP.8a
_____105. Henry has a fair number pyramid with four faces and a spinner with three equal-sized
colored sections. The possible outcomes for each section are shown below.
What is the probability that the number pyramid will land on three and the spinner will
stop on blue?
A.
1
12
B.
3
12
C.
4
12
D.
7
12
7.SP.8b
_____106. Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a
fair number pyramid that has four sides labeled 1 through 4?
(2014)
_____107. An electronic sign that showed the speed of motorists was installed on a road. The line
plots below show the speeds of some motorists before and after the sign was installed.
Based on these data, which statement is true about the speeds of the motorists after
the sign was installed? (2016)
(no calculator)
A. The mean speed and the range of the speeds of the motorists decreased
B. The median speed and the range of the speeds of the motorists increased
C. The mean speed of the motorists decreased and the range of the speeds increased D. The
median speed of the motorists increased and the range of the speeds decreased
7.SP.4
_____108. Malika and Adrian prepared containers of potato salad at a deli. Each container was supposed
to have a mass of one pound. The manager selected a random sample of containers prepared
by each employee to check the mass of each container. The results are shown in the table
below.
(2015)
Which inference is best supported by these data?
A. Malika will produce more containers with a mass of exactly one pound than Adrian will.
B. Adrian will produce more containers with a mass of exactly one pound than Malika will.
C. Most of Malika’s containers will have a mass closer to one pound than most of Adrian’s
containers.
D. Most of Adrian’s containers will have a mass closer to one pound than most of Malika’s
containers.
7.G.4
_____109. What is the radius, in centimeters, of a circle that has a circumference of 16π centimeters?
(2015)
A. 8
B. 16
C. 32
D. 64
_____110. The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth’s Moon is 1,737.5
kilometers. What is the approximate difference in the mean circumferences, in kilometers, of
Earth and Earth’s Moon? Round your answer to the nearest tenth of a kilometer.
(2015)
A. 40,030.2
B. 29,113.1
C. 14,556.6
D. 10,917.0
111. The circumference of a circle is 11π inches. What is the area, in square inches, of the circle?
Express your answer in terms of π.
(2014)
Show your work.
Answer ____________________ square inches
112. A contractor is building the base of a circular fountain. On the blueprint, the base of the
fountain has a diameter of 18 centimeters. The blueprint has a scale of three centimeters to
four feet. What will be the actual area of the base of the fountain, in square feet, after it is
built? Round your answer to the nearest tenth of a square foot. (2016)
Show your work
Answer __________________________ square feet
7.G.1
_____113. The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is
5 inches long. What is the length, in feet, of the actual train car?
(2014)
A. 67.5
B. 32.4
C. 14.5
D. 2.7
_____114. The drawing of a building, shown below, has a scale of 1 inch to 30 feet.
What is the actual height, in feet, of the building? (No calculator)
A. 22.5
B. 24
C. 37.5
D. 40
(2016)