Worksheets7th Grade Review Mid Year
Total questions: 152
Worksheet time: 10hrs 7mins
Simplify the ratio of
20 to 25
1 to 5
2 to 5
3 to 5
4 to 5
What was the price PER gallon?
When finding a UNIT RATE, you should __________ the top number by the bottom number.
Add
Subtract
Multiply
Divide
6 movie tickets cost $30.00. What is the cost per ticket (unit rate)?
What will you do to find the unit rate?
multiply by 6 to get $180 per ticket
divide by 6 to get $5 per ticket
multiply by 30 to get $900 per ticket
divide by 30 to get $1 per ticket
$22 for 6 books
Find the UNIT RATE
(round to the hundredths place)
6 books22 dollars
1 book3.67 dollars
12 books44 dollars
1 book8 dollars
$279 for 9 concert tickets. Find the cost per ticket.
$31
$39
$2,511
$34
A store has 120 customers in 6 hours. What is the unit rate in customers per hour?
16 customers per hour
12 customers per hour
20 customers per hour
15 customers per hour
If Antonia can type 408 words in 4 minutes, how many words can she type per minute?
408 words per minute
100 words per minute
400 words per minute
102 words per minute
Which operation do you use to solve for unit rate?
Multiplication
Division
Addition
Subtraction
A pump moves 42 gallons in 7 minutes. Find the unit rate.
5
6
7
8
A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
50 miles per hour
45 miles per hour
60 miles per hour
75 miles per hour
12 pencils cost $3.60. What is the cost per pencil (unit rate)?
What will you do to find the unit rate?
multiply by 12 to get $43.20 per pencil
divide by 12 to get $0.30 per pencil
multiply by 3.60 to get $43.20 per pencil
divide by 3.60 to get $0.30 per pencil
A printer prints 180 pages in 6 minutes. Find the unit rate in pages per minute.
30 pages per minute
36 pages per minute
40 pages per minute
24 pages per minute
If Justin can type 408 words in 4 minutes, how many words can he type per minute? (What is his unit rate)
Mallory is purchasing a 13-ounce box of cereal that costs $3.99. What is she actually paying per ounce?
$3.26 per ounce
$3.06 per ounce
$0.30 per ounce
$0.31 per ounce
For 3 pounds of granola, Will spent $3.75. What is his unit rate in dollars per pound?
$1.25 per pound
$0.92 per pound
$1.40 per pound
$0.80 per pound
A dog eats 0.5 of a pound of food every 50 minutes, at this rate how many pounds will the dog have eaten after 200 minutes.
The table represents how much someone makes while working. Based on the table, what is their unit rate?
$0.11 per hour
$9 per hour
$8 per hour
Not a consistent rate
You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?
$4.95 per pizza
$5.75 per pizza
$6.50 per pizza
Which is the better buy and by how much? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.98?
The 12-pack by about 4 cents
The 6-pack by about 8 cents
The 12-pack by about 2 cents
The 6-pack by about 9 cents
Which is the "better buy" and by how much? A 12 ounce can of corn for $1.92 or a 20 ounce can of corn for $3.00?
The 12 ounce can is a better deal by about 40 cents
The 20 ounce can is a better deal by one penny
The 12 ounce can is a better deal by 16 cents
The 20 ounce can is a better deal by 6 cents
In 45 minutes, Beverly was able to make 15 dessert bags. At this rate, how many bags a minute is she averaging?
3 bags/minute
⅓ of a bag/minute
¾ of a bag/minute
1.5 bags/minute
Determine what number should be in spot A and spot B
A = 36, B = 10
A = 45, B = 10
A = 14, B = 7
A = 45, B = 12
The graph shown represents the number of miles someone is traveling each hour. How many miles per hour is the person traveling?
80 mph
20 mph
40 mph
160 mph
Determine the constant of proportionality for the table. Express your answer as y = kx
y = 1/2x
x = 1/2y
y = 2x
k = x
Determine the constant of proportionality for the table. Express your answer as y = kx
y = 30k
y = 30x
y = 0.03x
y = 9x
Determine the constant of proportionality for the table. Express your answer as y = kx
y = 33x
y = 0.003x
x = 33y
33k
Determine the constant of proportionality for the table. Express your answer as y = kx
33
y = 1/3x
y = 33x
y = 33
Determine the constant of proportionality for the table. Express your answer as y = kx
15k
x = 15y
y = 0.06x
y = 15x
k represents
the constant of proportionality
the king
ketchup
a strikeout
Which equation matches the constant of proportionality?
x = y
y = x
y = kx
l x w
Which equation helps you solve for k?
k = x/y
k = y/x
k = y + x
k = 2x
Which equation is NOT proportional?
y = 2x - 3
y = 150x
y = 1/2x
Select ALL equations that are proportional.
y = 3x
y = 25x
y = 7x
y = 2x - 1
y = 4000x
Identify the constant of proportionality.
k = 2
k = 4
k = 1/2
k = 1/4
none (not proportional)
3x + 2x = 40
(a)
6x + 2x = 32
(a)
Solve.
-6x + 2x = 40
(a)
Solve.
-3x + 6x = 6
(a)
Solve.
7x + 3x = -110
(a)
Solve.
x + 2x = 36
(a)
8x - 2x = 12
(a)
Solve.
3x + 9x = 60
(a)
Solve.
x + 4x = 25
(a)
-4x + -2x = -12
(a)
5x + 7 = 12
8x - 10 = -34
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
x + 2/3 = 8/9
x = 1/3
x = 2/9
x = 14/9
x = 5/18
r/1.5 = 2.4
y = 3.6
y = 2.4
y = 3.9
y = 1.6
-7(6 + d) = 49
-11 - 3x = 44
A number is doubled, then 9 is added. The result is 23.
2x + 9x =23
x ≤ 9
6 > x
Match the graph with its inequality.
a > 11
a < 11
a ≥ 11
a ≤ 11
x + 5 ≤ 13
3x ≥ 12
Solve the inequality
22 < 6c + 4
77 ≤ 5 + 8n
7n - 1 > 76
Solve the inequality
-9a - 1 < 26
Solve the inequality
2- 3x ≤ 20
Do I need to flip the inequality sign?
-3x ≥ 12
Solve and graph the inequality -83 < n - 80
Solve and graph the inequality p - 3 > -8
Solve the inequality 24 ≤ h + 15
What inequality does the number line graph represent?
x ≤ 4
x ≥ -4
x < -4
x < 4
Solve the inequality r - 14 ≥ 17
Solve and graph the inequality b - 6 < -15
Solve and graph the inequality k - 13 > -51
A manager samples receipts of every fifth person in line. Out of 50 people, 4 had a mispriced item. If 600 people go to the store each day, how many can you expect to have a mispriced item?
50 people
80 people
48 people
12 people
A store manager selects 30 cartons of eggs and finds 4 cartons that have cracked eggs. If the store has 105 cartons of eggs, how many cartons can she expect to have cracked eggs in them?
15 cartons
7.5 cartons
26 cartons
14 cartons
The Magic Kingdom theme park has many attractions, one of which is Space Mountain. Are the people who ride Space Mountain the population, or a sample, of the theme park? Explain.
Population. They are all the people at the theme park.
Sample. They are a subset of all the people at the theme park.
Both population and sample. They are all the people at the theme park
Neither population nor sample. They are not the people at the theme park.
A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:
Average
Asking all the students in the hot lunch line.
Asking 10 random students from each homeroom.
Asking every other student who gets off a school bus.
Asking all the 10th graders.
The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
The students in her homeroom
Players whose names are randomly selected from a hat
The players in the starting lineup
All players over 5 feet tall
Every 5th player selected from an alphabetical roster of the team
A taxi service charges an initial fee of $10 plus $1.65 per mile. How many miles can you travel if you have a total of $44.65?
21 miles
18 miles
15 miles
12 miles
Darcy owes $65.25 for her cell phone bill this month. If her monthly fee is $30 and she is charged $0.15 per text message, how many texts did she send this month?
235 texts
150 texts
235 texts
235 texts
You and 7 friends decide to go to the local fair. Together, the amount spent to get into the fair and park is $33.00. If it costs 5 dollars to park, how much did each ticket cost per person? WRITE AN EQUATION and solve.
$3.50 per ticket
$4.00 per ticket
$3.00 per ticket
$2.50 per ticket
At a local coffee shop, you decide to buy a refill mug that costs $9.50. Each refill in the mug costs $1.50. This week, you spent a total of $15.50 for the mug and your refills. How many refills did you buy this week?
4 refills
3 refills
5 refills
2 refills
You and your family spend $37.50 at the bowling alley. You spend $20 on game play plus $3.50 per person for shoe rental. How many people in your family went bowling? WRITE AN EQUATION and solve.
5 people
4 people
3 people
6 people
Maria's family decided to go to the amusement park. In total, they spent $225 (not including food and drinks). If the cost per person to get into the park was $35.00, and they had a $20 coupon, how many people from her family went to the park?
5 people
6 people
7 people
8 people
At Eagle Creek Park, you can rent a sailboat for 2 hours for $40. You are also required to wear life jackets, which are $5 each to rent. If you spent a total of $100, how many life jackets did you rent?
8 life jackets
10 life jackets
12 life jackets
6 life jackets
A wedding photographer charges a non-refundable booking fee of $50 plus $85 per hour at the wedding. If your sister spent $560 for the photographer at her wedding, how many hours did the event last?
6 hours
7 hours
8 hours
9 hours
You and your 3 friends spend $18.70 at the skating rink. Each of you rents a pair of skates, and it costs $5.50 for admission. How much did each skate rental cost? WRITE AN EQUATION and solve.
$2.80 per skate rental
$3.00 per skate rental
$3.30 per skate rental
$3.50 per skate rental
Tickets for a rock concert are selling fast! Tim and his 2 friends decide to buy tickets, and his dad loans him $20 as well for an early birthday present. How much did each ticket cost if Tim paid $145 for himself and his friends? Write an equation and solve.
$35 per ticket
$45 per ticket
$50 per ticket
$55 per ticket
A bottle of laundry detergent costs $4.95 per bottle. If you have a coupon for $2.00 off and your total is $7.90, how many bottles of detergent did you buy?
1 bottle
2 bottles
2.5 bottles
4 bottles
At the gas station, you buy a soda for $1.75 plus 3 bags of chips. If your total was $4.72 without tax, how much did each bag of chips cost?
$.50 per bag
$.25 per bag
$2.00 per bag
$.99 per bag
