1. Warm Up
Identify a pattern and find the next 3 terms.
4, 8, 12, 16, …
-4, -3, -2, -1, …
Use order of operations to simplify each expression
3÷4+6÷4 ÷3
40+24 ÷ 8−22 −1
40+24 ÷8−(22−1)
7. Draw a Diagram showing the relationship of whole numbers, natural numbers, rational numbers, integers, irrational numbers and real numbers. Give an example of each.

2. 1-3 Algebraic Expressions

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

4. 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

5. Practice 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

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

7. Determine which quantity is unknown.
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
Amount saved
Number of weeks
plus
times
Let w = the number of weeks 20 6 w + x

8. 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
7 𝑎+4 +3𝑏 −8

9. Evaluate:
2( 𝑥 2 − 𝑦 2 ) 3
For x=6 and y=-3

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

11. Combine like terms:
7𝑥 2 + 3𝑦 2 + 2𝑦 2 − 4x 2

12. Combine like terms:
− 3𝑘+𝑚 +2(𝑘−4𝑚)

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