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1.2- Algebraic Expressions and Sets of Numbers

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1 1.2- Algebraic Expressions and Sets of Numbers
Chapter 1 1.2- Algebraic Expressions and Sets of Numbers

2 Variable-

3 Variable- letters that represent numbers

4 Variable- letters that represent numbers
Algebraic Expression-

5 Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations

6 Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin-

7 Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin- the number 0 on the number line

8 Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin- the number 0 on the number line Unit Distance (absolute value)-

9 Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin- the number 0 on the number line Unit Distance (absolute value)- the distance from 0 (positive and negative)

10 Negative Numbers-

11 Negative Numbers- numbers to the left of the origin

12 Negative Numbers- numbers to the left of the origin
Positive Numbers-

13 Negative Numbers- numbers to the left of the origin
Positive Numbers- numbers to the right of the origin

14 Natural Numbers-

15 Natural Numbers- {1, 2, 3, ….}

16 Natural Numbers- {1, 2, 3, ….} Whole Numbers-

17 Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….}

18 Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….} Integers-

19 Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….} Integers- {…, -3, -2, -1, 0, 1, 2, 3, …} Set-

20 Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….} Integers- {…, -3, -2, -1, 0, 1, 2, 3, …} Set- collection of objects called elements

21 Rational Numbers-

22 Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat
ex. 1.3, 2/3 = 0.66, 1/11 =

23 Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat
ex. 1.3, 2/3 = 0.66, 1/11 = Irrational Numbers-

24 Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat
ex. 1.3, 2/3 = 0.66, 1/11 = Irrational Numbers- decimal does not terminate nor repeats ex. Π ≈ …. , √2 ≈

25 Opposite- same number but the sign changes
ex. a is the opposite of -a Double negative- two negatives/minus signs that touch become a positive ex. –(-a) = a

26 Find the perimeter and area of the rectangle.
P = 2L + 2W A = LW 2 3

27 Evaluate 3x – y x = 5 y = 7

28 Determine whether the statement is true or false and why.
-4 is a whole number 1/3 is an irrational number Every rational number is an integer

29 Find each absolute value,
|3| |-1/7| -|-8|

30 Write the opposite of each number.
5 -1/3

31 Writing Phrases as Algebraic Expressions
Addition Subtraction Multiplication Division

32 Translate each phrase into an algebraic expression.
Use x to represent the unknown number. Eight times a number Three more than eight times a number The quotient of a number and -7 One and six-tenths subtracted from twice a number Six less than a number x Twice the sum of four and a number

33 You Do: Student organizer p. 3-4 #1-10

34 Classwork/Homework textbook p. 14 #1-10 p #4, 6, 8, 10, 32, 34, 58, 60, , 66, 68, 74, 76, 78, 80, , 88


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