Warm Up 1 3 Algebraic Expressions Modeling Words

Warm Up •

1 -3 Algebraic Expressions

Modeling Words with an Algebraic Expression Seven fewer than t t+7 -7 t t-7 7 -t Think: What operation does ‘seven fewer than t’ suggest?

Key Words to Identify Operations Addition (+) Subtraction (-) Multiplication (x) Division (÷) Sum Difference Product Quotient More than Less than Times Divided by Increased by Fewer than of Total Subtracted by Added to minus

Practice 1. The difference of a number p and 36 2. 15 more than the number q 3. The product of 10 and a number r 4. The total of a number y and 9

Modeling a Situation To model a situation with an algebraic expression do the following: • Identify the actions that suggest operations • Define or more variables to represent the unknown (s). • Represent the actions using the variables and the operations.

You start with $20 and save $6 each week. What algebraic expression models the total amount you save? Determine which quantity is unknown. Starting amount plus Amount saved times Number of weeks 6 x w Let w = the number of weeks 20 +

Evaluating Algebraic Expressions • To evaluate an algebraic expression, substitute a number for each variable in the expression. Then simplify using the order of operations. What is the value of the expression for the given values of the variables. for a = -4 and b = 5

Evaluate: For x=6 and y=-3

Important Vocab • Term- a number, a variable, or the product of a number and one or more variables. • Coefficient- the numerical factor of a term. • Constant term- a term with no variables coefficient -4 ax + 7 w - 6 term Constant term

Combine like terms:

Tonight’s Homework Pg. 22 -23 #10 -38 even, #46 -52 even