Solving Equations with Variables on Both Sides and Absolute Value

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

A letter or symbol that represents an unknown value is called ______________.

• Variable

• Radicand

• Coefficient

• Constant

To solve an equation, the goal is to __________ the variable on one side.

• Evaluate

• Leviate

• Isolate

• Reciprocate

• -545, -575

• -550, -525

• 540, 280

• 0, 575

What do we call a letter in math that represents an unknown number?

• coefficient

• variable

• term

• expression

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8

If |2x - 5| = x - 3, what is the solution for x?

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

When is this statement true? -lxl = x (assume x is not zero)

• This statement is never true.

• This statement is only true if the value of x is a positive value.

• This statement is only true if the value of x is a negative value.

• This statement is always true.

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.