Martin-Gay, Beginning Algebra, 5ed 11 Gale Bach Beginning Algebra Math 151 Fall 2015 Santa Rosa Junior College Mathematics

Martin-Gay, Beginning Algebra, 5ed 22 Why Math?

Martin-Gay, Beginning Algebra, 5ed 33 What is Math?

Martin-Gay, Beginning Algebra, 5ed 44 Jobs?

Martin-Gay, Beginning Algebra, 5ed 55

Examples of Algebraic Expressions x 2 + 7x 2 19xy – 30xy xy 2 – 7x 2 y + 11xy 2

Martin-Gay, Beginning Algebra, 5ed 77 Terms 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) 5x 3 (numerical coefficient is 5) 4xy 2 (numerical coefficient is 4) z 2 = 1 z 2 (numerical coefficient is 1)

Martin-Gay, Beginning Algebra, 5ed 88 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. You can combine like terms by adding or subtracting them (this is not true for unlike terms). Like Terms

Martin-Gay, Beginning Algebra, 5ed x 2 + 7x 2 19xy – 30xy xy 2 – 7x 2 y + 11xy x 2 – 11xy xy 2 – 7x 2 y Examples of Combining Terms Terms Before CombiningAfter Combining Terms Combining Like Terms Simplified Algebraic Expressions

Martin-Gay, Beginning Algebra, 5ed 10 a.) 2(x + y) = 2x + 2y Example: Find each product by using the distributive property to remove the parentheses. Using the Distributive Property b.) 7(x + 2y – 5z) = 7x + 14y – 35z c.) – 4(3a – 3b – 10c) = – 12a + 12b + 40c a.) 2(x + y) b.) 7(x + 2y – 5z)c.) – 4(3a – 3b – 10c)

Martin-Gay, Beginning Algebra, 5ed 11 Examples a. b.

Martin-Gay, Beginning Algebra, 5ed 12 Example Formulas are on page 606 in your textbook.