RATIOS AND PROPORTIONAL RELATIONSHIPS: RP.1
1
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?
A The elevator traveled upward at a rate of 6 feet per second.
B The elevator traveled upward at a rate of 4
2
feet per second.
3
C The elevator traveled downward at a rate of 6 feet per second.
2
3
D The elevator traveled downward at a rate of 4 feet per second.
2
Wallpaper was applied to one rectangular wall of a large room. The dimensions of the wall are
shown below.
42 feet
25.5 feet
If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per
square foot?
A $0.61
B $0.72
C $1.39
D $1.65
1
3
A recycling plant processes an average of ton of glass each minute. At approximately what rate
3
does the recycling plant process glass, in tons per day? (1 day = 24 hours)
A 20
B 180
C 480
D 4,320
Page 1
1
4
1
A recipe requires cup of milk for each 4 cup of water. How many cups of water are needed
3
for each cup of milk?
A
1
12
3
4
C 11
12
1
D 1
3
B
1
5
Gary buys a 3 -pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of
2
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)
A
B
C
D
7 52
×
2 3
7 3
×
2 52
1 3
3 ×
2 52
3
1 52
×
2 3
1
6
The label on a 1 -pound bag of wildflower seeds states that it will cover an area of 375 square
2
feet. Based on this information, what is the number of square feet that 1 pound of wildflower
seeds will cover?
A
1
250
B 250
C 562
1
2
D 750
Page 2
1
7
Ms. Graves gave her class 12 minutes to read. Carrie read 5 pages in that time. At what rate,
2
in pages per hour, did Carried read?
A 1
1
10
B 22
C 27
1
2
D 66
2
8
A crew of highway workers paved
mile in 20 minutes. If they work at the same rate, what
15
portion of a mile will they pave in one hour?
A
B
C
D
9
1
150
2
45
2
5
5
2
1
2
A pine tree measured 40 feet tall. Over the next 7
During the 7
1
years, it grew to a height of 57 feet.
2
1
years, what was the average yearly growth rate of the height of the tree?
2
Show your work.
Answer __________________ feet per year
Page 3
RATIOS AND PROPORTIONAL RELATIONSHIPS: RP.2
10
11
A company ordered 10 boxed lunches from a deli for $74.50. Each boxed lunch cost the same
amount. Which equation represents the proportional relationship between y, the total cost of the
boxed lunches, and x, the number of boxed lunches?
A
7.45𝑥 = 𝑦
B
7.45 10
=
𝑥
𝑦
C
74.50𝑥 = 𝑦
D
74.50 10
=
𝑥
𝑦
Line KN represents a proportional relationship. Point N lies at (18, 12), as shown on the graph
below.
Which ordered pair could represent the coordinates of point K?
A (6, 0)
B (2, 3)
C (1.5, 0)
D (7.5, 5)
Page 4
12
Maya uses blue and orange fabric to make identical wall decorations. The graph below shows the
relationship between the amounts of blue and orange fabric used.
What is the constant of proportionality as shown in the graph?
A
B
C
D
13
3
10
2
5
3
7
1
2
The graph below shows the relationship between the number of people in a group and the total
cost of admission tickets for a circus.
What point on the graph represents the unit rate?
A (0, 0)
B (1, 15)
C (15, 1)
D (8, 120)
Page 5
14
A rhombus with side length s is shown below.
The perimeter, P, of a rhombus is proportional to the length of each side, s. Which equation
represents this relationship?
A P = 4s
B s = 4P
C P=4+s
D s=4+P
15
Jocelyn was shopping at a farmer’s market. She observed the prices of cucumbers at several
stands. Which sign shows a proportional relationship in the pricing of the cucumbers?
Page 6
16
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased.
Jerri paid $2.52 for 6 oranges. If p represents the cost, in dollars, and n represents the number of
oranges purchased, which equation best represents this relationship?
A p = 0.42n
B p = 2.52n
C p = 6n
D p = 15.12n
17
Bananas cost $0.45 per pound. What equation is used to find C, the total cost of p pounds of
bananas?
A C = 0.45p
B C = p + 0.45
C 0.45C = p
D 0.45 + C = p
18
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?
A (2, 6)
B (2, 8)
C (6, 2)
D (8, 2)
19
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his
bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling
games costs the same amount of money, what is the constant of proportionality between the
money spent and the number of games played?
A 1.5
B 2.0
C 4.5
D 9.0
Page 7
20
The lines graphed below show the amounts of water in two tanks as they were being filled over
time.
For each tank, explain whether or not there is a proportional relationship between the amount of
water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit
rate. Use specific features of the graph to support your answer.
________________________________________________________________________________
________________________________________________________________________________
________________________________________________________________________________
21
A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs
$1.28. Brand B contains 12 fluid ounces and costs $1.68.
What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?
Show your work.
Answer $__________________________ per fluid ounce
Page 8
22
The table below shows the prices of different numbers of cards on a web site.
COST OF CARDS
Number
of Cards
20
40
60
100
Price
(dollars)
13
26
39
65
For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one-time
mailing fee of $5.95. Based on the information in the table, what will be the total cost for an order
for 280 cards?
Show your work.
Answer $__________________________
RATIOS AND PROPORTIONAL RELATIONSHIPS: RP.3
23
Last year 950 people attended a town’s annual parade. This year 1,520 people attended. What was
the percent increase from last year to this year?
A 37.5%
B 57.0%
C 60.0%
D 62.5%
Page 9
24
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?
A $0.50
B $1.50
C $5.00
D $15.00
25
A clothing store used the sign shown below to advertise a discount on shirts.
DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt
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?
A $41.99
B $42.70
C $44.59
D $45.18
26
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?
A $252
B $360
C $378
D $450
Page 10
27
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
28
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?
A $106.78
B $128.60
C $136.88
D $144.99
29
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?
A $750
B $1,750
C $3,250
D $5,500
Page 11
30
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?
A 20%
B 25%
C 80%
D 125%
31
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?
A 12%
B 14%
C 78%
D 88%
32
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?
A $4.20
B $6.00
C $8.40
D $12.60
33
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 costumer’s total
cost for the DVD?
A $12.84
B $18.42
C $18.84
D $19.26
Page 12
34
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?
A 15%
B 37.5%
C 60%
D 62.5%
35
Julia’s service change 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?
A $87.12
B $92.93
C $100.60
D $145.20
36
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?
Show your work.
Answer $_______________
Page 13
37
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?
Show your work.
Answer $_______________
38
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?
Show your work.
Answer $_______________
Page 14
39
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.
Show your work.
Answer _______________%
40
A group of friends went to lunch. The bull, 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?
Show your work.
Answer $_______________
Page 15