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

Homework: Page 22 16. Division of whole numbers is commutative.

Homework: Page 22 16. Division of whole numbers is commutative.

False. 20 ÷ 4 ≠ 4 ÷ 20, is a counterexample.

Homework: Page 22 24. 7 + x + 11 = x + 7 + 11

Homework: Page 22 24. 7 + x + 11 = x + 7 + 11 ,Commutative Property(of Addition)

Homework: Page 22 40. …”So any whole number that is divisible by 2 is also divisible by 4.” Do you agree? If yes, explain your reasoning. If not give a counterexample.

Homework: Page 22 40. …”So any whole number that is divisible by 2 is also divisible by 4.” Do you agree? If yes, explain your reasoning. If not, give a counterexample.

No.Counterexample:10 and 14 are divisible by 2, but not by 4.

Homework: Page 22 44. eight more than six times a number added to one more than nine times the number

Homework: Page 22 44. eight more than six times a number added to one more than nine times the number

Let x = the number(6x + 8) + (9x + 1) = 15x + 9

Homework: Page 29 8. To catch the bus, what is Don’s latest possible wake-up time?

Homework: Page 29 8. To catch the bus, what is Don’s latest possible wake-up time?

Least amount of time = 30 min + 15 min + 10 min= 55 min

55 min before 7:30 A.M. = 6:35 A.M. is Don’s latestpossible wake-up time

Homework: Page 29 10. …If the counters are tossed, how many ways can at least one counter with side A occur?

Homework: Page 29 10. …If the counters are tossed, how many ways can at least one counter with side A occur?

6 ways (out of 8 possible ways)

A A B B A B A A C B A CA C B B C BA C C B C C

Homework: Page 29 14. …How many different combinations of colors could you spin? List all possible combinations.

Homework: Page 29 14. …How many different combinations of colors could you spin? List all possible combinations.

16YY YR YB YGRR RB RG RYBB BG BY BRGG GY GR GB

Interactive Study Guide 1.1 to 1.4: Pages 1 to 12

1.4 Properties of Numbers

Commutative Propertyi) Commutative Property of Addition

a + b = b + a

ii) Commutative Property of Multiplicationa ᐧ b = b ᐧ a

Associative Propertyi) Associative Property of Addition

(a + b) + c = a + (b + c)

ii) Associative Property of Multiplication(a ᐧ b) ᐧ c = a ᐧ (b ᐧ c)

Identity Propertyi) Additive Identity

a + 0 = 0 + a = a

0 is called the identity element of addition.

ii) Multiplicative Identitya ᐧ 1 = 1 ᐧ a = a

1 is called the identity element of multiplication.

Multiplicative Property of Zero

a ᐧ 0 = 0 ᐧ a = 0

Counterexample – is an example that a statement if not true.Deductive reasoning – using facts, properties, or rules to reach a valid conclusion

1.5 Problem-Solving Strategies

1.6 Ordered Pairs and Relations

Coordinate System or Coordinate Plane – used to locate points.

Ordered pair of numbers is used to locate any point on a coordinate plane.

(x-coordinate, y-coordinate)Examples:

To graph an ordered pair, draw a dot that corresponds to the ordered pair.

Examples: 1) A(5, 3)2) B(0, 4)3) C(4, 0)4) D(7,1)

Relation – is a set of ordered pairs.Domain – set of x-coordinatesRange – set of y-coordinates

Example:{(4, 3), (5, 2), (6, 0)} is a relationDomain -Range -

Homework: pages 34-35.#’s 12, 14, 16, and 18.

22.

26.

30. Table: Domain:

Range:

34. b. Graph:

a. Table:

c. Words:

d. Graph: