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Unit 1: Evaluating and Simplifying Expressions Expression:A math statement without an equal sign (simplify, evaluate, or factor) Evaluate:Testing a value.

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Presentation on theme: "Unit 1: Evaluating and Simplifying Expressions Expression:A math statement without an equal sign (simplify, evaluate, or factor) Evaluate:Testing a value."— Presentation transcript:

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

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

4 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:

5 1.2. 3.4. PRACTICE:Solving Equations

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

7 When solving inequalities the same rules apply EXCEPT when you multiply or divide by a negative number…flip the sign! KEY WORDS: <>  ≥ Less thanGreater than At most No more than At least No less than Graphing: Open circle = Closed circle = , ≥ Solving Inequalities 1. 2.

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


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