Linear Equations: Solving Equations With Variables on Both Sides Quiz
Quiz Overview
Description
Equations can have variables on both sides. Standard techniques for solving apply, but one more step must be added in order to solve the equation correctly. The variable must be isolated on one side of the equation.
Example: 4x - 1 = 2x + 7
4x - 2x - 1 = 2x - 2x + 7 Subtract 2x from both sides
2x - 1 = 7
2x - 1 + 1 = 7 + 1 Add 1 to both sides
2x = 8
2x/2 = 8/2 Divide both sides by 2
x = 4
Try to isolate the variable in such a way that it's always positive.
For each of the following questions, solve for "x." You will need scratch paper, a pencil and a calculator. Select the best answer from the choices.
Example: 4x - 1 = 2x + 7
4x - 2x - 1 = 2x - 2x + 7 Subtract 2x from both sides
2x - 1 = 7
2x - 1 + 1 = 7 + 1 Add 1 to both sides
2x = 8
2x/2 = 8/2 Divide both sides by 2
x = 4
Try to isolate the variable in such a way that it's always positive.
For each of the following questions, solve for "x." You will need scratch paper, a pencil and a calculator. Select the best answer from the choices.