Warm-up: September 10, 2014 What is the difference between algebraic and numerical expressions? Write algebraic expressions for the following and then evaluate the expression when x = 12 Verbal Algebraic x = 12 x reduced by 5 x - 5 12 – 5 = 7 7 more than x The quotient of x and 2 The sum of x and 3

Warm-up: September 10, 2014 What is the difference between algebraic and numerical expressions? Write algebraic expressions for the following and then evaluate the expression when x = 12 Verbal Algebraic x = 12 x reduced by 5 x - 5 12 – 5 = 7 7 more than x x + 7 12 + 7 = 19 The quotient of x and 2 x/2 12 / 2 = 6 The sum of x and 3 x + 3 12 + 3 = 15

Homework: page 43 #24-32 -17 19 47 -15 -10 3 15 -5 -6

Homework: page 9 #18-30e 4 minus y or 4 less than y or 4 decreased by y 3 times y or 3 multiplied by y r divided by 5 or the quotient of r and 5 x plus 0.5 or 0.5 added to x or x greater than 0.5 8n 8 30

TONIGHT’S HOMEWORK Section 1.1, pages 9-10 Section 1.7, pages 47-48 31, 38, 42 Section 1.7, pages 47-48 Define Like Terms and Coefficient Section 1.7, page 49 2-24e

Algebraic Expressions Holt Algebra I – 1.1 Algebraic Expressions

Story Problems into Algebraic Expressions Eve reads 25 pages per hour. How many pages does she read in h hours?

Story Problems into Algebraic Expressions Eve reads 25 pages per hour. How many pages does she read in h hours? 25h

Story Problems into Algebraic Expressions Eve reads 25 pages per hour. How many pages does she read in h hours? 25h Sam is two years younger than Sue. How old is Sam if Sue is y years old?

Story Problems into Algebraic Expressions Eve reads 25 pages per hour. How many pages does she read in h hours? 25h Sam is two years younger than Sue. How old is Sam if Sue is y years old? y - 2

Example 4 – Page 8 Approximately fourteen 20-ounce plastic bottles must be recycled to produce 1 square foot of carpet. Write an expression that represents how many bottles it takes to produce c square feet of carpet. Evaluate the expression to find the number of bottles needed to make 40, 120, and 224 square feet of carpet.

Example 4 – Page 8 14 x c or 14c Use 14c to evaluate the question c 40 14(40)=560 Bottles 120 14(120)=1680 Bottles 224 14(224)=3136 Bottles

Chapter 1.7 - Properties

The Commutative Property You can add or multiply numbers in any order. It will not change the final value Numerical Algebraic 2 + 7 = 7 + 2 3 x 9 = 9 x 3 a + b = b + a a x b = b x a

The Associative Property Only when you are adding or multiplying, you can group any of the numbers together. Numerical Algebraic 6 + 8 + 2 = (6 + 8) + 2 = 6 + (8 + 2) 7 x 4 x 5 = (7 x 4)5 = 7(4 x 5) a + b +c = (a + b) + c = a + (b + c) abc = (ab)c = a(bc)

The Distributive Property You can multiply a number by a sum or multiply by each number in the sum and then add. The result is the same. Numerical Algebraic 3(4 + 8) = 3(4) + 3(8) a(b + c) = a(b) + a(c)

Homework Section 1.1, pages 9-10 Section 1.7, pages 47-48 31, 38, 42 Section 1.7, pages 47-48 Define Like Terms and Coefficient Section 1.7, page 49 2-24e