1. 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)

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

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

4. 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

5. 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.

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

7. < >  ≥ 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=  , ≥

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

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