Unit 1: Evaluating and Simplifying ExpressionsExpression: A math statement without an equal sign

(simplify, evaluate, or factor)

Evaluate: Testing a value for a variable in an expression (using PEMDAS and substitution)

Simplify: To complete all order of operations (PEMDAS) and properties in an expression

Equation: A math statement with an equal sign (solve)

Inequality: A math statement with an inequality sign (solve)

Example 1 Evaluating ExpressionsEvaluate the following expressions. Let x = 5, y = -2, and z = 2.

a) 112 2 y b) zyx )3( 2

c)4

35 2 yz d)yx

zy

2)(

Example 2 Simplifying ExpressionsSimplify the following expressions… Distribute and Combine Like Termsa) yyxx 3525 b) )87()34()25( yxyxyx

c) )()2(2 22 xxxx d) )7()13(5 mm

Unit 1: Solving Linear Equations & Inequalities[1] Simplify both side of equation / inequality

[2] Move the variable to one side.

INEQUALITIES Special Note: With inequalities if you divide or multiply both sides by a negative

value, switch the inequality sign direction

Add: + – :Subtract

Multiply: x, · ÷ :Divide

(...)2 :Square

[3] Use inverse operations to isolate the variable to equal a value. Operations must be the same on both sides of equation. (Inverse Operations order = Backwards of PEMDAS )

Square Root: ...

53

2d

261034 ww 46

52

yy

259)73(2 x1. 2.

3. 4.

PRACTICE: Solving Equations

5. 6. 5x – (2x – 2) = 3x – 1 22163 y

7. 6x – (2x + 3) = 2x + 8 )12(382)2(5 aa8.

PRACTICE: Solving Equations

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

thanAt mostNo more

than

At leastNo less

than

Graphing: Open circle = < , > Closed circle = , ≥

Solving Inequalities

186 x 1172 y1. 2.

7.

34

8 xx

126212 xx5. 6.

8. xxx 310)5(25 15429 zz

21)1(4 x 55515 t4.3.

PRACTICE: Solving Inequalities