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Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Absolute Value Equations
Ex(1) Solve the following.
|x| = 8
Absolute Value Equation: An equation that includes the absolute value of an expression involving a variable.
To solve absolute value equations, we must consider both cases of the definition of absolute value.
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Steps for solving Absolute Value Equations:
1. Write down the absolute value function as a piecewise function.
> Write the equation in both the positive and negative forms.
> Determine the invariant points (xintercepts) to help write the domain for each equation.
2. Solve for the variable in each.3. Verify the solution. You MUST check for extraneous
roots!!!
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Ex(2) Solve the following equation
|x + 2| = 7
Let's see what the graph of this looks like.
Use DESMOS
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Ex(3) Solve the following equation
|2x 5| = 5 3x
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Ex(4) Solve the following equation
|2x 2| + 3 = 1
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Ex(5) Solve the following equation
|x2 2x| = 1
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Ex(6) Solve the following equation
|x 10| = x2 10x
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019
Complete the following:
pg. 38990, # 4 6, 10, 15, 22
Copy of Day 3 Absolute Value Equations.notebook November 13, 2019