1. Santa Rosa Junior College
Mathematics
Gale Bach
Beginning Algebra
Math 151
Fall 2017

2. Why Math?

3. What is Math?

4. What is Math?

6. Examples of Algebraic Expressions
x2 + 7x2
19xy – 30xy xy2 – 7x2y + 11xy2

7. A term is a number, or the product of a number and variables raised to powers – (the number is called the numerical coefficient).
Examples of Terms
7 (numerical coefficient is 7)
5x3 (numerical coefficient is 5)
- 4xy2 (numerical coefficient is - 4)
z2 = 1 z2 (numerical coefficient is 1)

8. Like terms contain the same variables raised to the same powers.
To combine like terms, add or subtract the numerical coefficients (as appropriate), then multiply the result by the common variable factors.

9. Examples of Combining Terms
Terms Before Combining After Combining Terms
5 + 7
6x2 + 7x2
19xy – 30xy + 8
13xy2 – 7x2y + 11xy2 12
13x2
– 11xy + 8
24xy2 – 7x2y
Simplified
Algebraic
Expressions

10. Example: Find each product by using the distributive property to remove the parentheses.
a.) 2(x + y)
b.) 7(x + 2y – 5z)
c.) – 4(3a – 3b – 10c)
a.) 2(x + y)
= 2x + 2y
b.) 7(x + 2y – 5z)
= 7x + 14y – 35z
c.) – 4(3a – 3b – 10c)
= – 12a + 12b + 40c

11. Examples a. b.

15. Example
Formulas can be found in Appendix of your textbook.

16. Example
Balanced