Solving Linear Equations: Variable on One Side

Question 1

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 2, 4), (0, 2), and the point (1, 1). The other line is labeled g(x) and passes through (negative 3, negative 3), (0, 0) and the point (1, 1).

Revolt · Accepted Answer

C: x = 1

Question 2

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

Revolt · Accepted Answer

C: months he runs.

Question 3

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Revolt · Accepted Answer

G: 4p – 7 = 13

Question 4

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

Revolt · Accepted Answer

A: 5n – 300 = 1,500

Question 5

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

Revolt · Accepted Answer

G: $14

Question 6

The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?

Revolt · Accepted Answer

B: 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.

Question 7

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

Revolt · Accepted Answer

A: 3n – 15 + n = 101

Question 8

Solve the equation.−10x + 1 + 7x = 37

Revolt · Accepted Answer

B: x = −12

Question 9

Consider the functions shown on the graph.

Revolt · Accepted Answer

C: 1.5

Question 10

Solve the equation.5x + 8 − 3x = −10

Revolt · Accepted Answer

A: x = −9

Solving Linear Equations: Variable on One Side Answers

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