Mastering Absolute Value Equations with Variables on Both Sides

What is the absolute value of -2?

• 2

• 4

• 0

• -2

Tags

CCSS.6.NS.C.7C

Which of the following is always true about the absolute value of a number?

• It is always negative

• It can be negative or positive

• It is always zero

• It is always positive

If |x| = 7, what are the possible values of x?

• 7 and -7

• 7 and 0

• 0 and -7

• 7 and 14

Solve the equation |x + 3| = 5.

• x = 3 or x = -3

• x = 8 or x = -2

• x = 5 or x = -5

• x = 2 or x = -8

What should you do first when solving the equation |x + 2| - 3 = 7?

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

Solve the equation |2x + 4| = 6.

• x = 3 or x = -3

• x = 2 or x = -2

• x = 4 or x = -4

• x = 1 or x = -1

What is the solution to the equation |x + 5| = -3?

• x = -5

• No solution

• x = 3

• x = -8

When solving |3x + 5| = |x - 7|, what is the first step?

• Set up two equations: one with positive and one with negative

• Multiply both sides by 3

• Add 7 to both sides

• Subtract 5 from both sides

Solve the equation |3x + 5| = |x - 7|.

• x = -6 or x = 1/2

• x = 6 or x = -1/2

• x = 7 or x = -5

• x = -7 or x = 5

What should you do if you encounter an absolute value equation with a negative number on one side?

• Add the negative number to both sides

• Ignore the negative sign

• Solve normally

• State that there is no solution