Writing Equations & Inequalities

Oscar needed to get his office cleaned before he leaves for vacation. The local cleaning company charges a set fee of $25 plus $15 per hour.

Which function shows the relationship between y, the total amount Oscar will pay, and x, the number of hours it takes to clean his office?

• y = 15x - 25

• y = 15x + 25

• y = 25x - 15

• y = 25x + 15

Rosa is buying snacks for her and her friends at the movies. Popcorn costs $11 and sodas cost $5.5. She needs to buy at least 7 snacks to share. If Rosa and her friends can spend no more than $60, which inequality best models this situation?

Angy's mom bought variety boxes of chips for the family reunion. There are 18 bags of chips per box. Before they left for the reunion, Angy took out 4 bags of her favorite chips to save for later.

Which function best models this situation between x, the number of variety boxes bought and y, the total number of bags of chips?

• y = 18x - 4

• y = 18x + 4

• y = 18x

• y = 14x

The country Buffet restaurant has tables that seat 6 people and booths that seat 4 people. The restaurant has 38 seating spaces to seat a total 188 people. Which system of equations could be used to find the number of tables, t, and the number of booths, b, that are at the restaurant?

Mr. Newman's class needs to sell at least 70 tickets for the school's car wash for them to raise money for their class t-shirt. Morning tickets cost $4 and afternoon tickets cost $6. If their goal is to raise more than $450, which system of inequalities can be used to determine the number of morning tickets, m, and afternoon tickets, a, they need to sell?

Kiera was driving to her parent's house for the holidays. She still had 435 miles left to go. Not wanting to get a speeding ticket, Kiera drove 65 miles per hour.

Which function best models this situation between y, the total miles left to drive and x, the number of hours driven?

• y = 65x

• y = 65x - 435

• y = 65x + 435

• y = -65x + 435

Three burgers and one hotdog cost $4.82. At the same price, one burger and two hotdogs cost $3.70. Write a system of of equations to figure out how much does a hotdog and burger cost.

• 3b + h = 4.82

  b + 2h = 3.70

• 3b + h = 3.70

  b + 2h = 4.82

• 3h + b = 4.82

  2b + b = 3.70

• 3h + b = 3.70

  2b + b = 4.82

Steven wants to buy chocolate bars and lollipops. Each chocolate bar costs $5 and the lollipops cost $6. If Steven can spend at most $90 and can only buy less than 13 items, which inequality best models this situation?

Match the following words to its corresponding inequality symbol.

• less than

• at least

• more than

• maximum

Match the following words to its corresponding inequality symbol.

• above

• or more

• below

• at most