Inequalities
The inequality x < 20 represents the number of books in a donation box, where x is the number of books in the box. What sentence best describes how many books are in the donation box?
A. There are more than 20 books in the box.
B. There are 20 books in the box.
C. There are less than 20 books in the box.
D. There are at least 20 books in the box.
C. There are less than 20 books in the box.
There are 11 girls and 14 boys in Mrs. Beck's class. What is the ratio of girls to the total number of students in Mrs. Beck's class? Write your answer 3 ways.
11 to 25
11 : 25
11/25
Write an example of a unit rate, using miles and hours.
___ miles/1 hour
How many inches are in 9 feet?
108 inches = 9 ft
What is 40% of 100?
40
Using a number line, graph the following inequality:
b is greater than or equal to 17
There are 25 white cars and 15 red cars in a parking lot. Which of these shows the ratio of white to red cars in the parking lot?
A. 15 to 25
B. 5 to 3
C. 6 to 4
D. 25 to 17
B. 5 to 3
Mr. Rick is selling tickets for the school dance. If he sells 60 tickets in 3 hours, what is the unit rate?
20 tickets/1 hour
Convert 10 pints to quarts.
5 quarts = 10 pints
Turn 87.5% into a decimal.
0.875
Mr. Clark is saving up to buy a PlayStation 5, that costs $500. He has already saved $250. Write an inequality that represents the amount of money, m, he still needs to save.
m > (or equal to) $250
Mrs. Sander has a collection of music. She has 14 pop albums, 20 rock albums, and 17 punk albums. What is the ratio of punk albums to pop and rock albums in her collection?
17 to 34
17 : 34
17/34
If a car travels 73 miles per 1 hour, how far will they get in 4 hours? Write your answer as a rate.
292 miles/ 4 hours
How many meters (m) are equal to 80 centimeters (cm)?
0.8 m = 80 cm
What percent of 64 is 16?
25%
SURPRISE EQUATION QUESTION
Mrs. Marquez has 42 hoodies in her closet. She gives x hoodies to Ms. Lombardi. Write an equation that represents the number of hoodies, h, Mrs. Marquez has left.
42 - x = h
There are 63 cars in the parking lot. The parking lot is not full and there are 18 empty spots.
What is the ratio of available parking spots to total spots?
18 to 81
Teacher Leonard is buying apples. He sees that 1 pound of apples is $2.15. How much would he pay if he bought 3 pounds of apples?
$6.45 for 3 pounds of apples
If a dog weighs 54 pounds (lbs), how many ounces (oz) does it weigh?
864 oz = 54 lbs
12 is 4% of what number?
300
SURPRISE EQUATION QUESTION
A plumber charges $30 per hour for a job. The company they work for also charges a flat-fee of $24 for any repair visit. Write an equation that represents the total cost, C, of a repair that the plumber spent h hours working on.
30h + 24 = C
Mrs. Marquez and Ms. Lombardi was planning a BBQ for the 6th graders. While at the store they decided to buy hot dogs and buns. The hot dogs came in a package of 10 and the buns came in a package of 8. How many packages of each would they have to buy so that each hot dog had a bun?
They would need to buy 4 packages of hots dogs and 5 packages of buns.
Mr. Anderson went to the store and bought 8 pencils for $2.24. What is the unit price?
$0.28 for 1 pencil
Ms. Lombardi lives 55 km from OTMS. If 1 kilometer (km) = 0.62 miles, how many miles does Ms. Lombardi live from OTMS?
34.1 miles = 55 km
A dinner at Five Guys costs $26. If you tip 20%, what is the total cost of the meal, including the tip?
$31.20