1. The document defines key mathematical terms like coefficients, variables, and terms. A coefficient is the number attached to a variable by multiplication. A term can be a number, variable, or the product of a number and variable. 2. Like terms are terms that have the same variable(s). Like terms can be combined by adding or subtracting their coefficients. Unlike terms cannot be combined. Simplifying involves combining like terms.

1. 1.3 COEFFICIENTS AND TERMS
Chapter 1: Working with Variables

2.  In mathematics, we often use shorthand, for example
4+4+4+4+4 = 5×4
or
n+n+n+n+n = 5×n
which we make even shorter by writing as 5n
The number that is attached to a
variable by multiplication is called a
coefficient.
x = 1x
x + x = 2x
x + x + x = 3x
x + x + x + x = 4x

3.  A term is a piece of an expression. It can be a number, a
variable, or the product f a number and a variable.
 Examples:
6 + 3y 2a – 5b + c

4. LIKE TERMS
 What do we have?

5. LIKE TERMS
 Like terms are terms of an expression that have the
same variable(s).
 We can combine like terms by adding or subtracting the
coefficients of the like terms
 We cannot combine terms that do not share the same variable.
 Examples:
2x + 3x = 5x 2x + 3y
6a – 4a = 2a 6ab – 4b
6c + c = 7c 6c + 6

6. LIKE TERMS
 When you combine like terms, you simplify the
expression

7. EXAMPLE: SIMPLIFY

8. EXAMPLE: SIMPLIFY

9. EXAMPLE: SIMPLIFY

10. EXAMPLE: SIMPLIFY

11. EXAMPLE: SIMPLIFY

12. EXAMPLE: SIMPLIFY

13. EXAMPLE: SIMPLIFY

14. EXAMPLE: SIMPLIFY

15. EXAMPLE: SIMPLIFY