Types of Solutions in Equations

What characterizes an equation with one solution?

• Variables are the same, constants are different.

• Variables are different, constants can be anything.

• Variables and constants are both the same.

• The final statement is false.

What is the result when an equation has no solution?

• The variable equals a specific number.

• The final statement is true after variables zero out.

• The final statement is false after variables zero out.

• All real numbers make the equation true.

Which of the following describes an equation with infinite solutions?

• Only one value makes the equation true.

• There is no value that makes the equation true.

• The variables are the same, but the constants are different.

• All real numbers make the equation true.

What type of solution does the equation 6(2x + 2) - 6x = 12 + 6x have?

• One solution

• No solution

• Infinite solutions

• Two solutions

What is the solution to the equation 4(5x - 3) = 3(-3x - 4)?

• x = 1

• x = -1

• x = 0

• No solution

What type of solution does the equation -0.75(60 + 12x) = -3x - 6x - 15 have?

• One solution

• No solution

• Infinite solutions

• Two solutions

What type of solution does the equation 10 - (2x + 6) = -4x + 4 + 2x have?

• One solution

• No solution

• Infinite solutions

• Three solutions

What is the solution to the equation 4x = 38 - 1/2(4x + 16)?

• x = 5

• x = -5

• x = 30

• x = 6