A#12 / Ch. 1 Are You Ready? Homework WS Homework Corrections A#12 / Ch. 1 Are You Ready? Homework WS 1. a) 9.08 b) 0.14 c) 29.61 d) 2.18 2. a) 0.42 b) 0.25 c) 2.25 d) 0.3648 3. a) 2.05 b) 30.9 4. a) b) 4 c) d) 6 5. a) b)

Warm Up 18 ÷ 3 + 2  4 2. -10(3 + 4) 4 + (-2) 4. 6 – (-1) 18 ÷ 3 + 2  4 2. -10(3 + 4) 4 + (-2) 4. 6 – (-1) -8 – 3 6. -12 + 7

Lesson Objectives: I will be able to … Page 1 Lesson Objectives: I will be able to … Translate between words and algebra Evaluate algebraic expressions Language Objectives: I will be able to … Read, write, and listen about vocabulary, key concepts, and examples Listen to words and write related algebraic expressions

A constant is a value that does not change. Page 1 A variable is a letter or a symbol used to represent a value that can change. A constant is a value that does not change. A numerical expression contains only constants and operations. An algebraic expression may contain variables, constants, and operations.

  + – Plus, sum, increased by Times, product, equal groups of You will need to translate between algebraic expressions and words to be successful in math. Page 1 + –   Plus, sum, increased by Minus, difference, less than, decreased by Times, product, equal groups of Divided by, quotient

These expressions all mean “2 times y”: 2y 2(y) 2•y (2)(y) 2 x y (2)y Writing Math

Example 1: Translating from Algebra to Words Page 2 Example 1: Translating from Algebra to Words Give two ways to write each algebra expression in words. A. 9 + r C. 7m the sum of 9 and r the product of m and 7 9 increased by r m times 7 B. q – 3 D. j  6 the difference of q and 3 the quotient of j and 6 j divided by 6 3 less than q

Give two ways to write each algebra expression in words. Your Turn 1 Page 2 Give two ways to write each algebra expression in words. A. 4 - n B. 4 decreased by n the quotient of t and 5 n less than 4 t divided by 5

Multiply Divide Add Subtract Put together, combine To translate words into algebraic expressions, look for words that indicate the action that is taking place. Page 1 Add Subtract Multiply Divide Put together, combine Find how much more or less Put together equal groups Separate into equal groups

Example 2: Translating from Words to Algebra Page 2 A. John types 62 words per minute. Write an expression for the number of words he types in m minutes. m represents the number of minutes that John types. 62 · m or 62m Think: m groups of 62 words B. Roberto is 4 years older than Emily, who is y years old. Write an expression for Roberto’s age. y represents Emily’s age. y + 4 Think: “older than” means “greater than.”

t represents the number of hours that Lou drives. Your Turn 2 Page 2 Lou drives at 65 mi/h. Write an expression for the number of miles that Lou drives in t hours. t represents the number of hours that Lou drives. 65t Think: number of hours times rate per hour.

Example 3: Evaluating Algebraic Expression Page 3 Evaluate each expression for a = 4, b =7, and c = 2. A. b – c b – c = 7 – 2 Substitute 7 for b and 2 for c. = 5 Simplify. B. ac ac = 4 ·2 Substitute 4 for a and 2 for c. = 8 Simplify.

Evaluate each expression for m = 3 and p = 9. Your Turn 3 Page 2 Evaluate each expression for m = 3 and p = 9. p ÷ m p ÷ m = 9 ÷ 3 Substitute 9 for p and 3 for m. = 3 Simplify.

Cornell Notes Fill in the Essential Question: “How can I translate between words and algebra and evaluate algebraic expressions?” Write two or three main ideas from this lesson in the Notes section. Write a Question for each main idea. (The answer to the question should be the main idea.) Summarize the answers to your questions in the Summary section. Page 4

Matching Game I will call names and each student gets the opportunity to pick two blue cards and see if they are a match.

Homework Assignment #13 1-1 Homework Worksheet