1. Unit 1: Combining like Terms
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Unit 1: Combining like Terms

2. First 10

3. Notebook set up
First page label: Unit 1 Algebraic expressions and Equations
Place tab in the upper right hand corner
Cut out 2 graphic organizer
Place the vocab organizer on second page
Place Classification on the back of the second page

4. Notes Time Vocabulary Expression Example
Any mathematical calculation or formula combining numbers and/or variables
Expressions may not contain the equal sign (=) or any type of inequality
Example
5x + 3
2y + 7x 4

5. Vocabulary Variable Example
A quantity that can change or that may take on different values.
Variable also refers to a letter or symbol representing such a quantity.
Example
X, y, z, t, . . .

6. Vocabulary Constant Example a term or expression with no variables
2, 6, 12, 311, . . .

7. Vocabulary Exponent Example
The number or letter that is in the upper right corner of another term.
How many times a number is multiplied.
Example
x in the expression ax

8. Vocabulary Coefficient Example
The number multiplied times a product of variables or powers of variables in a term.
Example
123 is the coefficient in the term 123x3y

9. Vocabulary Like term Example
Terms which have the same variables and corresponding powers and/or roots. Like terms can be combined using addition and subtraction. Terms that are not like cannot be combined using addition or subtraction.
Example
2x and 3x are like terms
5x2y and 8x2y are like terms.
5x2y + 8x2y simplifies to 13x2y
5x2y – 8x2y simplifies to –3x2y

10. Practice

11. Now move to the back Classification
Terms Degree How many different letters/ number Highest exponent

12. Classification Monomial Binomial Trinomial One term polynomial Example
5x or 4
Binomial
Two term Polynomial
2x – 1 or 3x + 7y
Trinomial
Three term polynomial
2x2 – 3x + 2 or x + y – z

13. Classification Linear Quadratic Cubic
A polynomial with a degree of 1( highest exponent 1)
Example
5x or 4y
Quadratic
A polynomial with a degree of 2( highest exponent 2)
2x2 – 3x + 2
Cubic
A polynomial with a degree of 3( highest exponent 3)
x3 – 9x + 10