Ratio & Rates
The ratio below is:
!!! ????
3:4, 3 to 4
What is the coefficient of the variable in the expression?
8x + 7 (3-1)
8
Write an integer to represent each situation:
a. The temperature is 17 degrees below 0.
b. An airplane is 300 feet above sea level.
c. Kendra is $47 in debt.
d. Caleb scores 50 points in a game.
a. -17
b. 300
c. -47
d. 50
What is the value of 1/2 divided by 3/4?
2/3
Mary rides her bike at an average speed of 12 miles in 1 hour. Riding at this rate, how many miles does she ride in 3 hours?
36 miles
What is the definition of a variable?
A letter representing an unknown number.
What is the opposite of -6.75?
6.75
Find the product of 6 1/5 and 5 2/3.
35 2/15
There are 104 calories in an 8-ounce serving of soda. How many calories are in 1 ounce of soda?
13 calories
What is the least common multiple of 9 and 12?
36
An elevation of -12 m is higher than an elevation of -17 m. An elevation of -17 m is lower than an elevation of -14m. Write a set of inequalities to express these relationships.
-12 > -17 or -17 < -12
-17 < -14 or -14> -17
Mike has 12/8 cups of orange juice in a jar. He pours the juice into glasses that hold 3/4 cup. How many glasses can he fill?
2 glasses
Ms. Wilson is buying packages of pencils. Each package costs $11.52 and contains 96 pencils. What is the unit price of a pencil?
$0.12
What is the greatest common factor of 16 and 24?
8
Sammy wants to bring more than 40 tamales to a party. He has already made 15 tamales. He writes the inequality 15 + t > 40, where t is the number of tamales he still needs to make. Which values are solutions of the inequality?
a. 10 b. 20
c. 25 d. 30 e. 35
d. 30
e. 35
One pound of apples costs $1.77. The scale says they weigh 1.32 lbs. How much does the bag of apples cost?
$2.34
Jasmine goes to the store to buy some fruit to make a fruit salad. She buys:
3 pounds of apples for $4.05
2 pounds of grapes for $4.80
5 pounds of oranges for $7.50
3 pounds of peaches for $4.65
Which type of fruit costs $1.55 per pound?
Peaches
A pizza parlor bakes 125 pizzas per day. Write an equation that can be used to determine the number of pizzas, p, the owner bakes for any number of days, d?
p = 125d
Martha and Jim are climbing down into a canyon. Martha is already at -10 ft. Jim is keeping watch from a platform that is 15 ft above sea level, directly above Martha. Write an inequality comparing the distances of Martha and Jim. Who is closer to sea level?
-10 < 15 or 15 > -10
Martha is closer to sea level.
What is the volume, in cubic inches, of a cereal box with the dimensions below?
8 1/10 inches by 4 4/5 inches by 12 1/2 inches
486 inches cubed.