Absolute Value Equations

What's a way to define absolute value?

• The value of a number

• The opposite of a number

• The distance of a number from zero

• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7C

Is x = 4 a solution to |x + 5| = -9

• True

• False

Solve for k.

|k - 9| = 4

• 5, 13

• -5, -13

• 5, -5

• 13

Solve this equation. 
|-6x| = 30

• x = -5

• No solution

• x = 5, -5

• x = 5 

What is the absolute value of | 8 |?

• 8

• -8

• 0

• 16

Tags

CCSS.6.NS.C.7C

What is the absolute value of | -7 |?

• -7

• 7

• -7 and 7

Tags

CCSS.6.NS.C.7C

What is the FIRST step to solving the equation:|x + 1| = 4

• Set up 2 equations

  x + 1 = 4

  x + 1 = -4

• Subtract 1 on both sides

• Set up 2 equations:

  x + 1 = 4

  x - 1 = 4

• Add 1 to both sides

What is the first step to solve the following equation?

-2|x + 3| = -10

• Set up 2 equations

  -2(x + 3) = 10

  -2(x + 3) = -10

• Add 2 to both sides

• Subtract 3 from both sides

• Divide by -2 on both sides

• No Solution

When do you set up 2 equations?

|x + 2| + 3 = 4

• That is the first step.

• After you subtract 3 from both sides.

• After you add 2 and 3.

What is the first step to solve the following equation?

|2x - 1| = -5

• Add 1 to both sides

• Set up 2 equations:

  2x - 1 = 5

  2x - 1 = -5

• No Solution

• Divide by 2 on both sides.