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

Variable-

Variable- letters that represent numbers

Variable- letters that represent numbers Algebraic Expression-

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

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

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

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)-

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)

Negative Numbers-

Negative Numbers- numbers to the left of the origin

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

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

Natural Numbers-

Natural Numbers- {1, 2, 3, ….}

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

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

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

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

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

Rational Numbers-

Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat ex. 1.3, 2/3 = 0.66, 1/11 = 0.0909

Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat ex. 1.3, 2/3 = 0.66, 1/11 = 0.0909 Irrational Numbers-

Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat ex. 1.3, 2/3 = 0.66, 1/11 = 0.0909 Irrational Numbers- decimal does not terminate nor repeats ex. Π ≈ 3.1415192…. , √2 ≈ 1.414213

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

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

Evaluate 3x – y x = 5 y = 7

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

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

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

Writing Phrases as Algebraic Expressions Addition Subtraction Multiplication Division

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

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

Classwork/Homework textbook p. 14 #1-10 p. 15-16 #4, 6, 8, 10, 32, 34, 58, 60, 64, 66, 68, 74, 76, 78, 80, 84, 88