Homework Explained - Math Practice 101

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Chapter 7: Solving Linear Equations; Lesson 1:Equations with the Variable on Both Sides

Independent Practice

• Question 7

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

b. Analyze Relationships

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

• Question 8

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

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

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

• Question 10

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

• Question 11

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

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