Solving Linear Equations: Variable on One Side

Question 1

Determine which statements are true. Check all that apply.

Revolt · Accepted Answer

A: h(x) has a constant output of –2.50.; C: g(x) is greater than –2.50 for x values less than –1.; E: The input value for which g(x) = h(x) is between –1 and 0.

Question 2

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

Revolt · Accepted Answer

C: x = 1.5

Question 3

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?

Revolt · Accepted Answer

B: It must be a positive number since it represents a number of hours.

Question 4

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?

Revolt · Accepted Answer

C: 14

Question 5

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?

Revolt · Accepted Answer

C: the number of students who rode on each bus

Question 6

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.

Revolt · Accepted Answer

: 40x + 18(x – 3) = 468; : $6

Question 7

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?

Revolt · Accepted Answer

C: ✔ 7h + 43 = 64

Question 8

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

Revolt · Accepted Answer

A: In Step 1, she correctly distributed –3 to the parentheses.; D: In Step 4, she should have multiplied both sides by –1 to isolate the variable.

Question 9

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.

Revolt · Accepted Answer

B: ✔ 40x + 18(x – 3) = 468

Question 10

$2✔ $3$4 $5

Revolt · Accepted Answer

B: ✔ $3

Solving Linear Equations: Variable on One Side Answers

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