Prerequisites

1
Prerequisites
2
Linear Equations and Inequalities

• P.3

3
Linear Equations and Inequalities

• Solve Linear Equations
• Solve for x
• Solve Linear Inequalities
• Treat as an equation and solve for x, except
• Make sure that the sign gets flipped when a
  negative number is multiplied or divided by each
  side.

4
How to Solve Inequalities

• LINEARsolve like a linear equation, but flip the
  sign if you multiply or divide by a negative
  number.
• Quadratic or HigherPut zero on one side and all
  else on the other. Then use the number line
  method. Will look at later in the year.
• Absolute valueLess ThAND, GreatOR. Will look at
  later in the chapter.

5
Solving a Linear Equation Example

• 3(5z - 3) 4(2z 1) 5z 2
• Distribute
• 15z 9 8z 4 5z 2
• Combine Like Terms
• 7z 13 5z 2
• Subtract 5z from both sides
• 2z 13 -2
• Add 13 to both sides
• 2z 11
• Divide both side by 2.
• Z 11/2

6
Solving a Linear Inequality Example
7
Solving a Linear Inequality Example
8
Solving a Linear Inequality Example
-3 1 2x 3 Subtract 1 from all sides -4
2x 2 Divide all sides by -2. Since the 2 is
negative the signs must be flipped. 2 x -1