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Unit 1: Evaluating and Simplifying Expressions

Unit 1: Evaluating and Simplifying Expressions. Expression:. 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:.

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Unit 1: Evaluating and Simplifying Expressions

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  1. Unit 1:Evaluating and Simplifying Expressions Expression: 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)

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

  3. c) d) Example 2 Simplifying Expressions Simplify the following expressions… Distribute and Combine Like Terms a) b)

  4. Unit 1: Solving Linear Equations & Inequalities [1]Simplify both side of equation / inequality [2]Move the variable to one side. [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 ) Add: + – :Subtract Multiply: x, · ÷ :Divide Square Root: (...)2 :Square INEQUALITIES Special Note: With inequalities if you divide or multiply both sides by a negative value, switch the inequality sign direction

  5. PRACTICE: Solving Equations 1. 2. 3. 4.

  6. PRACTICE: Solving Equations 6. 5x – (2x – 2) = 3x – 1 5. 7. 6x – (2x + 3) = 2x + 8 8.

  7. Solving Inequalities When solving inequalities the same rules apply EXCEPT when you multiply or divide by a negative number…flip the sign! KEY WORDS: Graphing: Open circle = < , > Closed circle =  , ≥ 2. 1.

  8. PRACTICE: Solving Inequalities 4. 3. 6. 5. 8. 7.

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