Modeling Inequalities

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator? (Hint 5x)

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Tags

CCSS.7.EE.B.4B

The function f(x) = 800x +4000 represents Carlos's total sales as a function of the number of laptop computers he sells. How many computer must he sell to earn more than $12500?

• 10

• 11

• 10.6

• 9

The function f(x) = 13x + 52 represents the total number of points Leon will score this season. Write and inequality for when how games until Leon scores 85 or fewer points.

Tags

CCSS.7.EE.B.4B

A bathtub filled with 55 gallons of water is drained. The water drains at a rate of 5 gallons per minute. The function f(x) = -5x + 55 represents the volume of water in the tub as it drains. Write and inequality for when the tub has less than 10 gallons left.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Tags

CCSS.7.EE.B.4B

Which inequality could be used to represent the situation: Mrs. Bailey graded more than 5 papers with no name on them.

• x < 5

• x > 5

• x ≤  5

• x ≥ 5

Tags

CCSS.6.EE.B.8

Which inequality could be used to represent the situation: At least 5 students wore jeans on jeans day.

• x < 5

• x > 5

• x ≤  5

• x ≥ 5

Tags

CCSS.6.EE.B.8

Which inequality could be used to represent the situation: Less than 5 students purchased a slushie at lunch.

• x < 5

• x > 5

• x ≤  5

• x ≥ 5

Tags

CCSS.6.EE.B.8

If Rosa's age is represented by R, which inequality represents the statement "Rosa is at most 29 years old"?

Tags

CCSS.6.EE.B.8

The sign shown above is posted in front of a roller coaster ride at the Wadsworth County Fairgrounds. If h represents the height of a rider in inches, what is a correct translation of the statement on this sign?

Tags

CCSS.6.EE.B.8