Volume of rectangular prisms and cylinders
What is the volume of a cylinder with a radius of 3 and a height of 9?
254.34
Choose all the numbers that are perfect squares.
A. 16
B. 20
C. 36
D. 49
E. 75
Answer:
A, C, D
An inequality is given:
6x+4>28
Which value for x will make t he inequality true?
x>4
What is 60% of 240?
X=144
A city bus travels 1/2 of a mile in 7 minutes. How many miles does it travel per minute?
1/14 of a mile per minute.
What is the volume of a rectangular prism that measures 10x5x2
100
Calculate the square root of 256
16
A store has a vending machine. Customers put in a quarter and they receive a handful of candy. The machine is profitable if x>40, where x is the total amount of money in quarters at the end of the week. Select all the numbers that are solutions to this inequality
a. 38.5
b. 39.25
c. 40
d. 45
e. 50.75
The answer is c, d and e.
Fifteen is what percent of 50?
X=30%
Which statement represents a unit rate?
a. $2 for 1 apple
b. $5 for 2 apples
c. $7 for 3 apples
d. $1 for 5 apples
The correct answer is a. $2 for 1 apple.
A cylindrical dog food container has a volume of 1413 cubic inches. It has a height of 18 inches. What is the approximate radius of the container?
A. 2 inches
B. 5 inches
C. 25 inches
D. 78.5 inches
Answer B) 5 inches
What is the square root of 25
a. 5
b. 10
c. 15
d. 50
a. 5
An inequality is given:
5x+7 >-33 What is the value of x?
x>-8
The original price of a basketball costs $25. It is on sale for 35% off. What is the sale price?
The sale price is $16.25.
Choose the description that represents a proportional relationship
a. A cleaning company charges $56 per hour plus a $10 service fee.
b. A gym membership costs $80 per monnth
c. A man pays a $50 deposit and $20 per hour to rent a car.
b. A gym membership costs $80 per month.
A cylindrical container is used to store dry dog food. The container has a radius of 5 inches and a height of 18 inches. The dog eats 18.84 cubic inches of food each day. How many days will a full container of dry food last?
75 days
An equation is given: The square root of x is 13. What is the value of x
169
A student's water bottle can hold up to 36 ounces of water. The student has poured 18.5 ounces of water in the bottle so far. Write an inequality to represent this situation.
x + 18.5 <36
A student answers 85% of the questions on a test correctly. The student correctly answers 34 questions. What is the total number of questions on the test?
X=40
A student writes 93 words in 4 minutes. What is the unit rate in words per minute?
23 1/4 words per minute or 23.25.
A factory produces bricks. They need to know how much material is needed to make each brick.
- the dimensions of the brick are 2 inches by 4 inches by 8 inches.
- There are 10 cylindrical holes in each brick with a radius of 1/2 inch and a height of 8 inches.
What is the total volume of the brick?
48.3 cubic inches
What operation can be applied to the square root of 81 to equal 81?
You can square the square root of 81 or you can do the square root of 81 times the square root of 81.
A climber is climbing a mountain to a minimum height of 8.75 miles.
. the climber has already climbed 1.3 miles.
. He climbs at a rate of 2.5 miles per hour.
Write an inequality to represent the situation.
2.5x + 1.3 >8.75
A shirt is on sale. The original price of the shirt is $11.50.
The sale price of the shirt is $10.12.
What percent discount did the store apply to the shirt?
Discount = 12%
The cost of granola is proportional to its weight. Granola costs $2.80 for 7 ounces. Identify the equation that represents the relationship between the cost,c and the weight, w.
a. c=0.4w
b. c=2.5w
c. c=2.8w
d. c=40w
Answer: C) c=2.8w