Solving Linear Equations: Variable on One Side Answers

Solve the equation.−10x + 1 + 7x = 37

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

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

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?

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).

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?

What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38Add 3.5 and 1.2.Distribute 1.2 to 6.3 and –7x .Combine 6.3 and –7x .Combine 3.5 and 7.56.Subtract 11.06 from both sides.

Solve the equation.5x + 8 − 3x = −10

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