Solving Linear Equations: Variable on One Side Answers

Consider the functions shown on the graph.

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

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

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?

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).

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?

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

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).

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

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