Unit 2 Study Guide

A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more than $700 on the photo booth rental. What is the maximum number of additional hours (beyond the first two) that Cindy can rent the photo booth for her party?

Responses

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A family room and two bedrooms cost $360 to steam clean the carpets. The amount of labor and the service fee are incorporated into the total cost. Let x represent the labor costs per room and $45 equal the service fee. If it took the carpet cleaners (3) hours to complete the job, how much was the labor?

• $360−45=3x
  

• $360+3x=$45
  

• $45+3x=$360
  

• $360+$45=3x
  

Mark and Anson each have a video game collection.
• The number of video games in Mark collection can be represented by x.
•  The number of video games in Anson collection is 5 times the number in Mark collection.
•  The total number of video games is no more than 72.
What is the solution set for x, the number of video games in Mark’s collection?

• x ≤ -12

• x ≤ 12

• x ≥ -1

• x ≥ 15

Which graph shows the solution to this inequality?

−0.2x+1.2<1.1

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Which is a simplified expression that represents the area of the rectangle in square units?

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Which of the following word problems can be solved using the equation 3x+6=24? Select TWO that apply.

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  Julio already has 3 erasers. He buys erasers at a store that sells erasers in packs of 6. How many packs, x, of erasers, does Julio buy if he ends up with 24 erasers?

• • A bug crawls away from a wall at a constant rate of 3 inches per minute. If the bug is already 6 inches away from the wall, how many minutes, x, would it take the bug to be 24 inches away from the wall?

• A class reading list contains 24 books. Renee has read 6 of the books and is planning on reading the same number of books each month for 3 months. How many books, x, does Renee need to read each month to complete the reading list?

• Theo spent $6 on supplies for a car wash fundraiser. He earns $3 for every car he washes. How many cars, x, will Theo need to wash to make $24 in profit?

• Mike buys a ticket to an amusement park for $24. He also goes on 6 rides that cost $3 each. How much money, x, did Mike spend in total?

What is the solution set for 16.5 ≥ 1.25x + 12.75?

• x ≤ -3

• x ≥ -3

• x ≥ 3

• x ≤ 3

Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account at the end of the summer. He withdraws $35 a week for entertainment. Write an inequality for the number of weeks Ken can withdraw money, and solve the inequality.

• 950 - 35w ≥ 600; w ≤ 10

• 950 - 35w ≥ 600; w ≤ 11

• 950 + 35w ≥ 600; w ≥ 10

• 950 + 35w ≥ 600; w ≥ 11

Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.  

PART B

Which of the following shows the algebraic steps used to write and solve an equation to determine the cost of each frozen meal?

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Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost. 

Which of the following sequences of steps can be used to find the cost of each frozen meal? 

PART A

• Multiply 9 by 2, then subtract the result from 22

• Subtract 9 from 22, then divide by 2

• Divide 22 by 2, then subtract 9

• Subtract 9 from 22, then subtract 2