371 Equations & Inequalities Review Station

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| Attempts: 283
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    2.  A handyman charges a flat rate of $150, plus $25 per hour for house painting.  A painter charges $55 per hour for house painting.  Which equation could be used to determine, h, the number of hours each would have to work for their fees to be the same?

    • A
    • B
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    • D
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About This Quiz

This quiz titled '371 Equations & Inequalities Review Station' assesses understanding of equations and inequalities in real-world contexts, such as comparing costs and determining breakeven points. It helps learners apply algebraic concepts to practical scenarios.

Algebra Quizzes & Trivia

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  • 2. 

    5.  Which of the following scenarios can be represented with the inequality          31.2 – 0.12y < 28.62 – 0.08y ?

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    Remember to label what each expression represents.

    Rate this question:

  • 3. 

    6.  Scoops Ice Cream Shop sells a large bowl of ice cream for $5.00 plus $1.25 per topping.  They also sell a medium bowl of ice cream for $3.50 plus $1.50 per topping.  For how many toppings will a medium bowl of ice cream cost more than a large bowl of ice cream?

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    Remember to label what each expression represents in the inequality you build.

    Rate this question:

  • 4. 

    1.  Purple Taxi has no pick-up fee, but charges $0.25 per mile.  ABC Taxi charges $3 for pick-up and $0.15 per mile.  Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    Remember that "exceeds" means to be more than. Example, "I exceeded (went over) my expectations and made a 95 on the test!"

    Rate this question:

  • 5. 

    7.  A swimming pool containing 23,000 gallons of water loses water due to evaporation at a rate of 600 gallons per week.  A swimming pool containing 15,000 gallons of water loses water due to evaporation at a rate of 200 gallons per week.  After how many weeks, w, will the smaller pool have at least as much water as the larger pool?

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    Remember that "at least" means "more than or equal to." For example, I need to make at least a 70 to pass means I have to make a 70 or higher.

    Rate this question:

  • 6. 

    3.  Which of the following scenarios can be modeled with the equation                                       365 +125x = 175 + 250x ?

    • A

    • B

    • C

    • D

    Correct Answer
    A. A
    Explanation
    Remember that this question contains and equation, not an inequality. If you missed this one, think about the biggest difference between and equation and the inequality.

    Rate this question:

  • 7. 

    8.  A home builder wants to hire a painter to paint the inside of a home he is building.  Ace painting Services charges a flat rate of $37.50 per hour.  Acme Painters charges $25.00 per hour plus $75.00 for supplies.  For how many hours, h, will Ace Painting Services charge less than Acme Painters?

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    Remember to label what each expression represents in the inequality you build.

    Rate this question:

  • 8. 

    4.  D. J. plans to earn money for an electric guitar.  He has two options: Option 1:   His grandmother will pay him $250 to paint her tool shed, and he can work for his dad for $10 per hour.  He will save 80% of the money he earns.Option 2:   He can work for his uncle for $16 per hour.  He will save 75% of the money he earns.           Which equation below can be used to find the number of hours, h, that D. J. will need to work in order for the money he saves from each option to be the same?

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    If you missed this one, think about what 4/5 represents as a decimal and a percent. Also, what does 3/4 represent as a decimal and a percent?

    Rate this question:

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 03, 2017
    Quiz Created by
    Jaclynsayshowdy
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