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Bellwork (this is done on loose leaf paper)
Give an example that shows the idea behind each of the following properties, for both addition and multiplication: Closure Commutative Associative Identity Inverse Distributive
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1.2 & 1.3 Evaluate and Simplify Algebraic Expressions &
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Numerical Expression A group of numbers, operators, and grouping symbols
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Base, Exponent, Power
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Evaluate Powers (the negative rule)
−5 4 − 5 4
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Order of Operations PEMDAS
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Variable A letter that is used to represent one or more numbers
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Algebraic Expression Like a numerical expression, except it also contains letters
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Evaluate an Algebraic Expression
−4 𝑥 2 −6𝑥+11 𝑤ℎ𝑒𝑛 𝑥=−3
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Terms & Coefficients (Variable Terms and Constant Terms)
3 𝑥 2 +5𝑥+(−7)
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Simplify by Combining Like Terms
8𝑥+3𝑥 5 𝑝 2 +𝑝−2 𝑝 2 3 𝑦+2 −4 𝑦−7
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1.3
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Transformations That Produce Equivalent Equations
Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality
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Solve an Equation with a Variable on One Side
4 5 𝑥+8=20
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Solve an Equation with a Variable on Both Sides
7𝑝+13=9𝑝−5
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Solve an Equation Using the Distributive Property
3 5𝑥−8 =−2 −𝑥+7 −12𝑥
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