Rates and ratios
Proportions
Percents
Rational numbers
Expressions/equations
100
2/12 or 1/6
100
How do you find the constant of proportionality?
y/x or x/y
y/x
100
What is 5% of 120?
6
100
Solve: -10 - 3
-13
100
Solve for y:
−2y=12
y=-6
200
Find the unit rate
1 1/5 or 1 2/10
200
Tyson bought four roses for $8.88. If the cost per rose is constant, how much would 6 roses cost?
$13.32
200
What percent of 36 is 24?
66.6%
200
Solve: (−8)−(−3)
-5
200
Solve for n:
4n−10=22
n=8
300
Samantha bought six books for $15.90. How much would 15 books cost?
$39.75
300
If the constant of proportionality is 7, write an equation that models the proportional relationship.
y=7x
300
What is the percent of increase from 10 to 12?
20%
300
Without a calculator, solve:
(−2.7)(−3.1)
8.37
300
Evaluate the expression:
5ℎ + 1 when ℎ = 7
36
400
The ratio of males to females at a basketball game was 4 : 5. Suppose there were 80 females at the basketball game. How many people were at the game altogether?
144 people
400
Write an equation that models the proportional relationship shown in the table below?
y=3x
400
Roe bought a video game in Miami. The game was $30. Miami has a 7% sales tax. How much money did Roe pay for the video game including sales tax?
$32.10
400
Julie bought 4 2/5 pounds of apples and 2 3/10 pounds of bananas. What was the total weight of the fruit she purchased?
6 7/10 pounds
400
Factor the following expression:
15x+10
5(3x+2)
500
A map has a scale of 2 inches : 25 miles. Gabriel uses the map to find the distance from the zoo to his house. The distance on the map is 5 inches. If Gabriel bikes at a rate of 12.5 miles per hour, how long will it take him to get to the zoo?
5 hours
500
Mia ran 10 laps in 8 minutes. Shawna ran 4 laps in 3 minutes. Which person ran at a faster rate? Use mathematics to justify your answer
Mia- 1.25 laps/minute
Shawna- 1.33 laps/minute
Shawna ran more laps per minute
500
David estimated that the band fundraiser would make $492. The fundraiser actually made $600. What was the percent error of David’s estimate?
18%
500
Jackie liked to go bowling. One-fifth of her rolls were strikes. If she rolled 30 balls, how many were strikes?
6 strikes
500
Simplify the following expression:
3(2𝑥 − 5) + 15
6x