Proportional Relationships
Lukkas pays $227.25 for 3 new windows. What is the unit rate for 1 window?
$75.75
Preston's team starts a football game. On the first play, they gain 6 yards. On the second play they lose 12 yards. How many yards have they lost or gained after the two plays?
-6 yards
A small apple weights 5/16 pound. A digital scale shows the weight in decimal form. What weight, in pounds, does the scale show?
0.3125 pounds
Write an equivalent expression to:
-5(2g + 6) - 4g
-14g - 30
If Morgan starts at $45 in January, and now has $43 to start February, would this represent a percent increase or a percent decrease?
Decrease
Emma's Companies A & Finn's Company B produce phone chargers. Emma's company makes 15 phone chargers in the amount of time Finn's company makes 20 phone chargers. When Emma's company makes 30 phone chargers, how many phone chargers will Finn's company make?
40 phone chargers
What is the sum of -18 and -27?
-45
Allison says that (-5)(-7) is -35. Is Allison correct or incorrect? Why?
Incorrect. Negative x negative = positive
Solve: 1/4(x - 16) = 3/4
19
Eli wants to purchase a shirt for $36 and has a 20% off coupon. How much will he pay for the shirt if he uses the 20% off coupon?
$28.80
Loralai is on a road trip. She uses 3/4 of a tank of gas every 9/2 hours. How many tanks of gas will Loralai use after 12 hours?
2 tanks
(Find unit rate: 3/4 / 9/2 = 1/6 x 12 = 2)
What is (-3 3/4) - (-2 1/4)?
-1 2/4 or -1 1/2
What is -5/6 ÷ -1/3?
5/2 or 2 1/2
Zoey works at a bookstore. She sells 15 magazines that each cost m dollars and one book that costs $18. The total amount of money she collects is $93. Write an equation to model this scenario.
15m + 18 = 93
At the end of January, Landon had $176 in his savings account. By the end of February, he had $217. To the nearest percent, what is the percent change in the amount of money in Landon's savings account?
23%
The marching band walks 1/15 miles in 1.5 minutes. At this rate, how many minutes will it take to complete 1 mile?
22.5 minutes
A bird flies 8.64 meters above a pond. A fish swims below the bird at -1.78 meters from the surface of the water. How many meters apart are the bird and the fish?
10.42 meters
The grocery store sells cheese at the deli counter. The weight of the cheese changes by -8 pounds in 5 days. What rational number (decimal) represents the average change in pounds of the cheddar cheese each day?
-1.6
Ella builds a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs at least 3 square feet of space. How many chickens can the coop hold?
0-13 chickens
Felicity is buying a drone. The price of a new drone is $289. Sales tax is 9%. What is the total cost of the drone in dollars, including tax?
$315.01
The scale from a map to actual distance is 2 cm to 100 miles. The driving distance on the map between two cities is 5.4 cm. What is the actual distance, in miles, between the two cities?
270 miles
Forrest stands on a ladder 4.61 meters above the ground. A worm is 0.23 meters below the ground. How far apart are Forrest and the worm?
4.84 meters
James has a barrel that collects rainwater. As the rainwater evaporates, the height of the rainwater changes from 24.83 inches to 18.08 inches over a period of 5.4 days. What is the average change in the height of rainwater each day?
-1.25 inches per day
A plane can hold at most 38,000 pounds. There are 35 boxes on the plane. Each box weighs 625 pounds. How many additional boxes of the same weight can the cargo plane hold?
25 more boxes
The temperature in an oven changes from 350 degrees to 362 degrees. What is the percent increase in temperature, to the nearest tenth of a percent?
3.4%
(Amount of change/original amount x 100)