What are the 4 steps to solving absolute value equations?

Step 1: Isolate the absolute value |3x – 6| – 9 = -3 |3x – 6| = 6
Step 3: Write two equations without absolute value bars 3x – 6 = 6 3x – 6 = -6
Step 4: Solve both equations 3x – 6 = 6 3x = 12 x = 4 3x – 6 = -6 3x = 0 x = 0

How do you write an absolute value equation?

More generally, the form of the equation for an absolute value function is y=a| x−h |+k.

How do you solve an absolute value equation in algebra?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5.

How do you solve absolute value equations with notes?

To Solve Absolute Value Equations:

  1. Isolate the absolute value expression to one side of the equal sign.
  2. Set the inside of the absolute value equal to + and to – the value on the other side of the equal sign (remove the absolute value bars in this step).
  3. If needed, solve for the variable in these 2 new equations.

What are three ways to solve system of equations?

To solve systems of algebraic equations containing two variables, start by moving the variables to different sides of the equation. Then, divide both sides of the equation by one of the variables to solve for that variable. Next, take that number and plug it into the formula to solve for the other variable.

What are the steps on solving equations?

Write the problem.

  • Decide whether to use addition or subtraction to isolate the variable term.
  • Add or subtract the constant on both sides of the equation.
  • Eliminate the coefficient of the variable through division or multiplication.
  • Solve for the variable.

    • How do you solve absolute value equations and inequalities?

    Solving Absolute Value Equations. Solving absolute value equations is as easy as working with regular linear equations. The only additional key step that you need to remember is to separate the original absolute value equation into two parts: positive and negative (±) components.Below is the general approach on how to break them down into two equations:

    How to solve basic two step equations?

    The USUAL way of solving a two-step equation: Note: This is the “usual” method because most of the two-step equations are solved this way. Notice that Step 2 can alternatively be replaced by Step 3 which are the same essentially. 1) First, add or subtract both sides of the linear equation by the same number.