Solving Absolute Value Equations by Graphing

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

The graphs here represent the two sides of an absolute value equation. How many solutions does the equation have?

• No solutions

• 1 solution

• 2 solutions

Use the graphs to solve the absolute value equation.

• x = 1 and x = 0

• x = 1 and x = 2

• x = 0 and x = - 1

• x = -1 and x = 2

What is the solution for f(x)=g(x)?

• x = 3

• x = 0

• x = -1

• x = -4

The graphs here represent the two sides of an absolute value equation. How many solutions does the equation have?

• No solutions

• 1 solution

• 2 solutions

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

|-2 - 4n| = 34

• n = -9, n = 8

• n = 9, n = 8

• n = -9

• n = 8