Rate/Ratio
Tracie speaks 30 words in 45 seconds. At that rate, approximately how many words will Tracie speak in 120 seconds?
80 words
Simplify the following expression using the distributive property: 3(2d + 5w)
6d + 15w
The musical had one performance at the Opera House. The Opera House has 1,700 seats. Tickets for 95% of the total number of seats were sold. How many tickets were sold at the Opera House?
1,615 seats
What is the solution to the equation? x + 5.1 = 9.8
4.7
What is the value of the expression?
3.2 · 2 + 5.7
12.1
Daniel used 4 strawberries and 12 blueberries to make a parfait. What was the ratio of the number of strawberries to the number of blueberries in the parfait?
Bonus: (write your answer in simplified form)
4:12
Bonus answer: 1:3
Write all of the expressions below where x = 7.2?
A. x + 4.1 = 11.3
B. 14 - x = 6.2
C. 2x + 3 = 17.4
D. 8 + 2 - x = 2.8
E. 5 + 3x = 26.3
A. x + 4.1 = 11.3
C. 2x + 3 = 17.4
D. 8 + 2 - x = 2.8
A soccer team played 40 games in a season. They won 75% of their games.
How many games did the team win, and how many did they lose?
Won = 30 games
Lost = 10 games
Sam has 1 ¾ cups of ice cream to make milkshakes. Each milkshake uses ⅔ cup of ice cream. What is the maximum number of milkshakes that Sam can make with ice cream?
2 milkshakes
What is the value of 6⁴?
1,296
A football team has 25 offensive players and 40 defensive players. What is the ratio of the number of defensive players to the number of offensive players on the team?
Bonus: (write your answer in simplified form)
40:25
Bonus answer: 8:5
What is the value of r in the following equation?
4 + r - 17 = 10
23
A band is having a concert in Detroit at the Center for the Arts. The Detroit Center for the Arts has 748 seats. If 75% of tickets were sold, how many seats were sold?
Bonus: How many seats were left (unsold)?
561
Bonus answer: 187
A recipe uses 1 ½ cups of juice to make 18 servings. If the same amount of juice is used for each serving, how many servings can be made using 1 gallon of juice?
[1 gallon = 16 cups]
192 servings
What is the value of the expression?
13.52 - (2.6 · 5.2)
0
Darnell paid $48.24 for 12 straws. At this rate, how much would it cost Darnell to buy 9 straws?
$36.18
Barbie and Ken are making bracelets. Barbie makes 30 bracelets. Ken makes m more bracelets than Barbie. Which expression represents the total number of bracelets Barbie and Ken make?
A. 30 + (30 + m)
B. 30 + 30m
C. 30 + m
D. 30m
A. 30 + (30 + m)
Liam is buying a video game that costs $60. He has a coupon for 20% off. How much will he pay for the video game?
$48
Saltwater freezes only at temperatures colder than 4 degrees below zero on the Celsius scale. If t represents the temperature of saltwater in degrees Celsius, which inequality represents the temperatures at which saltwater freezes?
A. t > -4
B. t ≥ -4
C. t ≤ -4
D. t < -4
D. t < -4
What is the value of the expression?
2,040 ÷ 24
85
A factory produces 72 pairs of legging 6 minutes. At the same rate, how many pairs of leggings will the factory produce in 8 minutes?
96 pairs of leggings
A carpenter needs to cut 10-inch pieces of wood from a board of wood that is 8 feet in length. What is the greatest number of 10-inch pieces the carpenter can cut from 6 of these wood boards?
54 pieces
A class of 40 students took a math test. 80% of the students passed. Of those who passed, 25% earned an A grade.
How many students earned an A on the test?
8 students
Which statement below shows two equivalent expressions?
A. c + c + c + c c⁴
B. 12d - 5 + 2d 10d - 5
C. 8g + 2w 2(4g + w)
D. 3k² + 8k + 5 11k² + 5
C. 8g + 2w 2(4g + w)
What is the value of the expression?
5³
125