Homework Explained - Math Practice 101

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Grade 8 Homework Resolved
Chapter 7: Solving Linear Equations; Lesson 1:Equations with the Variable on Both Sides

  Independent Practice  

  • Question 7 (request help)

    Derrick’s Dog Sitting and Darlene’s Dog Sitting are competing for new business. The companies ran the ads shown.


    a. Write and solve an equation to find the number of hours for which the total cost will be the same for the two services.

  •     hours
  • Question 7 (request help)

    b. Analyze Relationships

    Which dog sitting service is more economical to use if you need 5 hours of service? Explain.

  •    
  • Question 8 (request help)

    Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

    a. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

  •     square yards
  • Question 8 (request help)

    b. Justify Reasoning

    Mr. Shu wants to hire one of the two carpet companies to install carpeting in his basement. Is he more likely to hire Country Carpets or City Carpets? Explain your reasoning.

  •    

Write an equation to represent each relationship. Then solve the equation.

  • Question 9 (request help)

    Two less than 3 times a number is the same as the number plus 10.

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  • Question 10 (request help)

    A number increased by 4 is the same as 19 minus 2 times the number.

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  • Question 11 (request help)

    Twenty less than 8 times a number is the same as 15 more than the number.

  • Type below:

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