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

1.2 & 1.3 Evaluate and Simplify Algebraic Expressions &

Numerical Expression A group of numbers, operators, and grouping symbols

Base, Exponent, Power

Evaluate Powers (the negative rule) −5 4 − 5 4

Order of Operations PEMDAS

Variable A letter that is used to represent one or more numbers

Algebraic Expression Like a numerical expression, except it also contains letters

Evaluate an Algebraic Expression −4 𝑥 2 −6𝑥+11 𝑤ℎ𝑒𝑛 𝑥=−3

Terms & Coefficients (Variable Terms and Constant Terms) 3 𝑥 2 +5𝑥+(−7)

Simplify by Combining Like Terms 8𝑥+3𝑥 5 𝑝 2 +𝑝−2 𝑝 2 3 𝑦+2 −4 𝑦−7

1.3

Transformations That Produce Equivalent Equations Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

Solve an Equation with a Variable on One Side 4 5 𝑥+8=20

Solve an Equation with a Variable on Both Sides 7𝑝+13=9𝑝−5

Solve an Equation Using the Distributive Property 3 5𝑥−8 =−2 −𝑥+7 −12𝑥