Interpret Equations

An elevator travels down from the top floor of a skyscraper. Its height, in feet, is given by the equation h=800-8t, where h represents the elevator's height, in feet, and t represents the time, in seconds. What could the number 8 represent in the equation?

• How quickly the elevator decends, in feet per minute

• The height the elevator stars at

• The elevator's final height

• The elevator's height after one second

At the beginning of spring, Lauren planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=9+3w. What could the number 9 represent in the equation?

• The sunflower's height when it was planted

• The sunflower's final height

• The rate of change in the sunflower's height

• The sunflower's height after one week

Kylie is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3.5+2.3x, where y represents the total cost in dollars and cents, and x represents the number of miles she travels. What could the number 3.5 represent in the equation?

• How much the taxi costs per mile

• Total charge for one mile

• The flat charge to order the taxi

• How far Kylie can ride for $1

Starting at noon, Emily observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent s, how many inches of snow were on the lawn: s=0.024x+7, where x represents the number of minutes past noon. What could the number 0.024 represent in the equation?

• The amount of snow on the lawn at 12:01 pm

• The amount of snow on the lawn at noon

• How much more snow is added to the lawn every minute

• The total amount of snow

Part A: ​ (a)   Part B: ​ (b)  

• A

• D

• B

• C

Mrs. Kelly's class started a new book. After skipping a handful of pretext pages in the beginning, the class reads the same number of pages per day. The class can use the equation p=20d+3 to determine the page number, p, they are on in the book based on how many days, d, they have been reading the book. The coordinate (18, 363) is the solution to the equation that corresponds with the day the class finished the book. Match each of the following numbers to the description that BEST matches it.

• The page-length of the book.

• 18

• The number of pages the class skipped.

• 363

• How many days it took the class to finish the book.

• 3

• The number of pages the class read each day.

• 20

Match the following. Determine if the statements below correctly describe the equation, 20 + 12x = 240.

• no

• Felix exercises by spending 12 minutes warming up and then running for 20 minutes. He has exercised a total of 240 minutes this month.

• yes

• Isaiah is saving $12 per week from his allowance. After 20 weeks, Isaiah has $240.

• no

• Joanie earns $12 per hour, plus a $20 bonus for completing the training program. This week Joanie earned $240.

Match the following. Determine if the statements below correctly describe the equation, 20 + 12x = 240.

• no

• Felix exercises by spending 12 minutes warming up and then running for 20 minutes. He has exercised a total of 240 minutes this month.

• no

• Joanie earns $12 per hour, plus a $20 bonus for completing the training program. This week Joanie earned $240.

• yes

• Isaiah is saving $12 per week from his allowance. After 20 weeks, Isaiah has $240.

Jocelyn is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jocelyn will spend is given by the equation y=3.5x+28, where y represents the total amount of money, in dollars and cents, and x represents the number of rides Jocelyn goes on. What could the number 28 represent in the equation?

• The total amount Jocelyn will spend if she goes on 1 ride

• The change in total amount of money for each additional ride she goes on

• The total amount Jocelyn will spend if she goes on 100 rides

• The cost to get into the amusement park

Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=57+6.3x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=99?

• A student's expected quiz score if they spend 1 hour on their homework

• A student's expected quiz score if they spend 99 hours on their homework

• How many hours a student spends studying all year

• The number of hours a student should spend on their homework to expect a score of 99 on the quiz