Textbook Chapter 1: The Language of Algebra 1.1 A Plan for ... 8... · Textbook –Chapter 1: The...

Textbook – Chapter 1: The Language of Algebra 1.1 A Plan for Problem-Solving1.2 Words and ExpressionsRead and Study. Take notes as you go along.

Homework: Write the questions, show your work and answer.Pages 4-5. #’s 2, 4, 6, 8, 10 Pages 8-9. #’s 2, 16, 30, 32, 34

Homework: Page 4, #8 a. How many more cups of this kind of coffee did Café Mocha sell in January than in April?

Jan.# - Apr# = 850 – 500 = 350 cupsb. If Café Mocha charges $1.98 for each cup of coffee, how much money did Café Mocha earn from their coffee in March?Mar#ᐧ($1.98/cup) = 587ᐧ($1.98) = $1,162.26

c. In May, Café Mocha raised their price for each cup of coffee to $2.25. How much money did Café Mocha earn from their coffee of the month in May?

May#ᐧ($2.25/cup) = 387ᐧ($2.25) = $870.75

Homework: Page 9 #34

a. Write and evaluate an expression to find the total cost of the jeans.

Total Cost = No.ᐧ($23/jean) – No.ᐧ($2/jean)= 4ᐧ($23) – 4($2) = $92 - $8

= $84OR Total Cost = No.ᐧ(($23 - $2)/jean)

= 4 ᐧ($21/jean)=$84

Homework: Page 9 #34 b. Lamar also buys 4 pairs of the jeans. He has a coupon for $2 off the total purchase price. Write and evaluate an expression for the total cost of his jeans.Total Cost = No.ᐧ($23/jean) – $2

= 4ᐧ($23) – $2 = $92 - $2

= $90

Textbook – Chapter 1: The Language of Algebra 1.3 Variables and Expressions1.4 Properties of NumbersRead, study and take notes as you go along.

1.1 A Plan for Problem-SolvingThe Four-Step Plan

1. Understand2. Plan3. Solve4. Check

1.2 Words and Expressions- Numerical expressions – contains a combination of numbers and operations such as +, -, ᐧ and ÷ .- Order of Operations (GEMDAS)- Translating Words Expressions

1.3 Variables and ExpressionsAlgebra – branch of mathematics that

uses symbolsVariable – letter (or symbol) used to

represent an unknown value Algebraic expression – an expression

containing at least one variable and at least one mathematical operation

Defining a Variable – choosing a variable and the quantity it representsWords Variable Expression

Examples:1. four dollars less than the cost of

the sweater

2. two years older than twice John’s age

Substitution Property of EqualityIf a = b, then a may be replaced by b.

Evaluating an expression:Examples:1. Evaluate 6c – 2a + 6b, if a = 9, b = 2

and c = 4.

Examples:2. Evaluate ac _ 15, if a = -9 and c = 4.

3

Homework: Write the questions, show your work and answer.Pages 16-17. #’s 4, 14, 16, 26, 28, 30, 36, 40

Homework: Page 16 #16. four more than the number of weeks in a group of days

Homework: Page 16 #16. four more than the number of weeks in a group of days

Let a = number of days(a/7) +4

Homework: Page 16 30. A studio charges a sitting fee of $25 plus $7 for each portrait sheet ordered. Write an expression that can be used to find the total cost to have photographs taken. Then find the cost of purchasing twelve portrait sheets.

Homework: Page 16 30. A studio charges a sitting fee of $25 plus $7 for each portrait sheet ordered. Write an expression that can be used to find the total cost to have photographs taken. Then find the cost of purchasing twelve portrait sheets. Let x = number of portrait sheets purchasedCost = 7x + 25Cost for twelve portraits = 7(12) + 25 = 84 + 25 = $109

Homework: Page 17 40. A car rental company charges a one-time fee of $95, plus $65 per day. Write an expression that can be used to find the cost of renting a car for any number of days. If George rents a car for 4 days, what is the total cost?

Homework: Page 17 40. A car rental company charges a one-time fee of $95, plus $65 per day. Write an expression that can be used to find the cost of renting a car for any number of days. If George rents a car for 4 days, what is the total cost?Let d = number of days renting a carCost = 65d + 95Cost for 4 days = 65(4) + 95 = 260 + 95 = $355

Textbook – Chapter 1: The Language of Algebra 1.4 Properties of Numbers1.5 Problem-Solving StrategyRead, study and take notes as you go along.

Homework: Write the questions, show your work and answer.Pages 22-23. #’s 16, 24, 36, 40, 44, 46, 48.Pages 28-29. #’s 4, 8, 10, 14