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1.2- Algebraic Expressions and Sets of Numbers
Chapter 1 1.2- Algebraic Expressions and Sets of Numbers
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Variable-
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Variable- letters that represent numbers
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Variable- letters that represent numbers
Algebraic Expression-
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Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations
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Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin-
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Variable- letters that represent numbers
Algebraic Expression- numbers and variables connected by operations Origin- the number 0 on the number line
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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)-
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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)
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Negative Numbers-
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Negative Numbers- numbers to the left of the origin
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Negative Numbers- numbers to the left of the origin
Positive Numbers-
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Negative Numbers- numbers to the left of the origin
Positive Numbers- numbers to the right of the origin
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Natural Numbers-
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Natural Numbers- {1, 2, 3, ….}
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Natural Numbers- {1, 2, 3, ….} Whole Numbers-
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Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….}
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Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….} Integers-
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Natural Numbers- {1, 2, 3, ….} Whole Numbers- {0, 1, 2, 3,….} Integers- {…, -3, -2, -1, 0, 1, 2, 3, …} Set-
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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
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Rational Numbers-
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Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat
ex. 1.3, 2/3 = 0.66, 1/11 =
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Rational Numbers- a/b, b≠0; therefore, all decimals terminate or repeat
ex. 1.3, 2/3 = 0.66, 1/11 = Irrational Numbers-
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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 ≈
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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
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Find the perimeter and area of the rectangle.
P = 2L + 2W A = LW 2 3
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Evaluate 3x – y x = 5 y = 7
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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
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Find each absolute value,
|3| |-1/7| -|-8|
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Write the opposite of each number.
5 -1/3
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Writing Phrases as Algebraic Expressions
Addition Subtraction Multiplication Division
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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
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You Do: Student organizer p. 3-4 #1-10
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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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