Solving Absolute Value Equations

What is the absolute value of -3?

• 3

• -3

• 0

• 6

Which of the following statements is true about absolute value?

• It can be negative.

• It represents a number's distance from zero.

• It can be a fraction.

• It is always zero.

Tags

CCSS.6.NS.C.7

CCSS.6.NS.C.8

What is the first step in solving an absolute value equation?

• Add 1 to both sides.

• Get the absolute value expression alone on one side.

• Multiply both sides by 2.

• Subtract 3 from both sides.

Tags

CCSS.HSA.REI.A.1

How do you rewrite an absolute value equation after isolating the absolute value expression?

• As a quadratic equation.

• As an inequality.

• As two separate equations.

• As a single equation.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

In the first example, what are the solutions to the equation?

• x = 10 and x = -10

• x = 20 and x = -20

• x = 30 and x = -30

• x = 40 and x = -40

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What operation is used to isolate the absolute value expression in the second example?

• Addition

• Division

• Subtraction

• Multiplication

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

What are the solutions to the equation in the second example?

• x = 8 and x = -8

• x = 6 and x = -6

• x = 4 and x = 0

• x = 2 and x = -2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

In the third example, what should you not do when dealing with an absolute value expression?

• Distribute into the absolute value.

• Multiply both sides.

• Add to both sides.

• Subtract from both sides.

Tags

CCSS.HSA.REI.D.11

What are the solutions to the equation in the third example?

• x = 2 and x = -3

• x = 1 and x = -1

• x = 2 and x = -2

• x = 3 and x = -3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the solutions to the equation in the fourth example?

• x = 7 and x = -7

• x = 10 and x = -10

• x = 8 and x = -8

• x = 9 and x = 1

Tags

CCSS.HSA.REI.B.4