Solving Linear Equations: Variable on One Side Answers

Consider the functions shown on the graph.

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?

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?

What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38

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

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

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

Solve the equation.−10x + 1 + 7x = 37

Two functions are defined as shown.f(x) = x – 2g(x) = –1Which graph shows the input value for which f(x) = g(x)?

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?