Introduction to Solving Absolute Value Equations

solve for z.

|-4z|=7

• -7/4, 7/4

• -7/4

• 11, 3

• -11, -3

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 4

−2|−2r − 4| = -12

• {3,1}

• {-3,-1}

• {-3}

• No Solution

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

| x + 6 | = 11

• x = -6 and x = 11

• No Solution

• x = 5 and x = -17

• x = -5 and x = 17

| 3x - 6 | - 9 = -3

• No Solution

• x = 0 and x = 4

• x = 2 and x = -2

• x = -4 and x = 4

How many solutions does the following equation have?

0 = -6|9v - 7|

• no solution

• one solution

• two solutions

Solve for p

-6|-8p - 7| = -15

• -19/16, -9/16

• 1/4, -3.5

• 9/16, -9/16

• -19/16

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions