Unit Rates
The Stephen drives 260 miles in 4 hours. How fast does he drive in miles per hour?
65 miles per hour
-8x+5x+12=60
x = -16
See Geo 1
8 cubes
Ava’s dad gives her $8 each Saturday as a weekly allowance. Which equation represents the number of dollars d Ava receives as allowance during w weeks?
d = 8w
-4(-2)=
8
Stephen drives for 7.5 hours before he has to refill his gas tank. If he is driving 60 miles per hour how many miles did he travel?
450 miles
0.35(2x+2)=-0.7
x=-2
See Geo 2
x = 32
The relationship between days and grain the goats eat is represent by the equation, g =14t, with g representing pounds of grain and t representing days. The farmer orders 2,000 pounds of grain. This grain will feed all the goats for a maximum of how many whole days?
142 whole days
13 ÷ (-5) =
-2 3/5
The truck drives for 500 miles on 15 gallons of gas and a car drives 387 miles on 9 gallons of gas, which one has a higher miles per gallon rate and what is that rate?
-4x+3(x-2)=6
x = -12
Is there a triangle that has sides with lengths 10, 12 and 23?
No
10+12=22
22 < 23
If the scale factor between an original and an enlargement is 2. What number could I multiply the area of the original by to find the area of the enlargement?
4 because you would have to multiply by the scale factor twice since it is area and not length.
The water level of a river is monitored daily for 9 days. • At the start, the water level of the river was 12 centimeters below its normal water level. • After a day of rain, the water level of the river increased by 18 centimeters. • The next 8 days were dry, and the water level of the river dropped by 2.6 centimeters each day. Write a numerical expression representing the water level after the 9-day period.
- 12 + 18 + (8(- 2.6))
Stephen starts driving with a full tank of 16 gallons of gas and drives for 9.2 hours at 50 miles per hour. How many miles does he drive per gallon of gas?
28.75 miles per gallon
2x+1.5(6x+12)=10.85
x=-0.65
Yes, The third angle measures 75 degrees
If the scale factor between an original and an reduction is 0.5. What number could I multiply the area of the original by to find the area of the reduction?
0.25, because I would have to multiply by the scale factor twice since it is area and not length.
Abdul earns and spends money during the week.
• On weekdays, he earns $8.00 per day for mowing lawns. • On weekdays, he spends $2.25 per day for school lunch. • After 4 weeks, he saves 1 / 3 of what is left for a new lacrosse stick.
How much money in dollars that Abdul has saved for the lacrosse stick after 4 weeks?
38 1/3
Kevin's Car gets 28 miles to the gallon. His Car's gas tank has 6.5 gallons in it. If he drives at 55 miles per hour how long can he drive until he runs out of gas? (round to the nearest hundredth)
3.31 hours
2(x+4)+3(x+2)=-7+6
x = -3
See Geo 3
30 bricks
Shawn makes his own secret barbecue sauce. His recipe calls for 1/2 teaspoon of pepper and 3/8 teaspoons of mustard. Shawn decides to scale his recipe up. He uses 1 teaspoon of pepper. How many teaspoons of mustard should Shawn use to make his secret barbecue sauce?
3/4 teaspoons of mustard
The water level of a river is monitored daily for 9 days. • At the start, the water level of the river was 12 centimeters below its normal water level. • After a day of rain, the water level of the river increased by 18 centimeters. • The next 8 days were dry, and the water level of the river dropped by 2.6 centimeters each day. What is the water level after the 9-day period.
-14.8