Lesson 1.1-1.2 Evaluating and Simplifying Expressions A math statement without an equal sign (simplify, evaluate, or factor) Evaluate Testing a value in an expression (simplify using PEDMAS) To completely +, –, x, or / an expression using PEDMAS. Simplify Equation: A math statement with an equal sign (solve) Inequality: A math statement with an inequality sign (solve)

Example 1 Evaluating Expressions Evaluate the following expressions. Let x = 5, y = -2, and z = 2. a) b) c) d)

Example 2 Simplifying Expressions Simplify the following expressions. a) b) c) d)

Steps for Solving Equations & Inequalities [1] Simplify both side of equation / inequality [2] Move the variable to one side (eliminate the smaller) [3] Isolate the variable (use inverse operations, Backwards PEMDAS ) Note: With inequalities if you divide by a negative, switch the inequality sign + – x ÷ 2

2. 1. 3. 4. 6. 5. 7. The formula for tension of a string is , where l is the length of the string and g is the acceleration due to gravity. Solve the formula for l. 8.

Example 1 Solving Equations a) 6x – (2x + 3) = 2x + 8 b) 5x – (2x – 2) = 3x – 1

< >  ≥ Less than Greater than No more than No less than Solving Inequalities When solving inequalities the same rules apply EXCEPT when you multiply or divide by a negative number…flip the sign! KEY WORDS: < >  ≥ Less than Greater than At most No more than At least No less than Graphing: Open circle= < , > Closed circle=  , ≥

Solve each inequality and graph the solution. b) c) d)

Examples: Solve the inequality and graph your solution. 2. 1. 3. 4. 5. 6. 12 – 2(2x – 4) < 8