Solving Linear Equations: Variable on One Side Answers

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Determine which statements are true. Check all that apply.

Use the graph to determine the input value for which f(x) = g(x) is true.

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.7h – 5(3h – 8) = –72Which statement is true about Pieter’s solution?

Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?

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Determine which statements are true. Check all that apply.

Use the graph to determine the input value for which f(x) = g(x) is true.

Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? | If h represents the hourly fee, which equation models this problem? | What was the hourly fee for the rototiller?

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? | If h represents the hourly fee, which equation models this problem? | What was the hourly fee for the rototiller?

Analyze Lorena’s work to determine which statements are correct. Check all that apply.

This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers. | If x represents the amount Michael collects from each repeat customer, which equation models this problem? | What is the fee Michael charges each new subscriber?