2.3.1 Solving Equations with Variables on Both Sides self-paced

Multiple Choice

Which of the following is a helpful strategy when solving equations with variables on both sides?

• Move all constants to one side and all variables to the other side.

• Add the same number to both sides repeatedly.

• Multiply both sides by zero.

• Ignore the variables on one side.

Multiple Choice

Which of the following is the correct solution for the equation 5x = x - 12?

• x = -3

• x = 3

• x = 12

• x = -12

Multiple Choice

What do you think your response would be to the previous question?

• x= -16/6

• Infinitely many solutions

• No solution

• x=0

Multiple Select

What is the first step you would take to solve the equation 10 - 5x = -5x + 10?

• Add 5x to both sides

• Subtract 10 from both sides

• Add 10 to both sides

• Divide both sides by 5

Multiple Choice

What do you think your response would be to the previous question?

• x= -16/6

• Infinitely many solutions

• No solution

• x=0

Multiple Select

Which selection has NO solutions? (Select all that apply)

• 4x - 2x = 20

• 12 + 4x = 6x + 10 - 2x

• 5x + 14 - 4x = x + 14

• 0.2x + 9 = 5.2x + 9

Multiple Select

Which of the following means infinitely many solutions? (Select all that apply)

• x = 3

• 0 = 0

• 5 = 5

• 17 = -48

Open Ended

Explain the difference between what happens in the process of solving an equation that has a solution of all real numbers versus an equation that has no solution.