1. Unit 1 – First-Degree Equations and Inequalities
Chapter 1 – Equations and inequalities
1.1 – Expressions and formulas

2. 1.1 – Expressions and Formulas
In this section we will review:
Using the order of operations to evaluate expressions
Using formulas

3. 1.1 – Real Numbers and Number Operations
Variables – symbols (usually letters) used to represent unknown quantities
Algebraic expressions – Expressions that contain at least one variable
Order of Operations – PEMDAS
Grouping symbols
Powers
Multiply and/or divide from left to right
Add and/or subtract from left to right

4. 1.1 – Real Numbers and Number Operations
Monomial – An algebraic expression that is a number, a variable, or the product of a number and one or more variables
Ex. 5b, -w, 23, x2, 1/3x3y4
Constant – monomials that contain no variables
Ex. 23, -1

5. 1.1 – Real Numbers and Number Operations
Coefficient – Numerical factor of a monomials
Ex. -6 would be the coefficient of -6m.
Degree – Sum of the exponents of its variables
Ex. The degree of 12g7h4 is or 11
The degree of a constant is 0
Power – an expression of the form xn

6. 1.1 – Real Numbers and Number Operations
Polynomial – Monomial or a sum of monomials
Terms - The monomials that make up a polynomial
Ex. x2 + 2x + x + 1
Like terms - Terms that have the same variable raised to the same power
Ex. 2x and x in the previous example
x2 + 3x + 1

7. 1.1 – Real Numbers and Number Operations
Trinomial – A polynomial with three unlike terms
Ex. x2 + 3x + 1
Binomial – A polynomial with two unlike terms
Ex. xy + z3

8. 1.1 – Real Numbers and Number Operations
Example 1
Evaluate the following if x = 2, y = -3, and z = -4
x + (y – 1)2
y2 – z(y + z)

9. 1.1 – Real Numbers and Number Operations
Formula – Mathematical sentence that expresses the relationship between certain quantities

10. 1.1 – Real Numbers and Number Operations
Example 2
The formula for the area of a trapezoid is
Find the area of the trapezoid shown below
12 in
8 in
48 in

11. 1.1 – Real Numbers and Number Operations
HOMEWORK Page 9 #9 – 19 odd, 21 – 24 all, 32 – 35 all