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Multiplication

Note Taking Guide 1.6

Subject: 
Algebra
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Mathematics
Binary operations
Elementary arithmetic
Mathematical notation
Elementary algebra
Algebra
Addition
Subtraction
Multiplication

1.06 Translations Essential Questions After completing this lesson, you will be able to answer these questions: How can translations help me understand how to represent verbal phrases as algebraic expressions? What are the key words and phrases that indicate certain operations? Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE Translation (Pg. 2) English to Algebra Addition Terms ? ___________ Subtraction Terms ? l__________ Multiplication Terms ? ___________ Division Terms ? ___________ EX: 4 times the difference of n and 8 ___________ EX: The area of a triangle is found by taking half of the product of the base times the height ___________ EX: x more than 5 ___________ EX: 9 subtracted from x ___________ EX: 25% of x ___________

Note Taking Guide 1.1

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Algebra
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Mathematics
Algebra
Abstract algebra
Elementary arithmetic
Binary operations
Elementary mathematics
Mathematical notation
Integers
Subtraction
Division
Multiplication
Number

Numerical Operations Essential Questions After completing this lesson, you will be able to answer the following questions: How are expressions rewritten in simplified form based on the mathematical operations in the expression? What is the correct order for performing mathematical operations in simplifying expressions? Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE Real Numbers(P.1) Natural Number: _______________ integers ____________ Numbers: A member of the set of positive integers or zero Integers: A number that can be written without a fraction or _______________ Rational Numbers: Can include positive/negative fractions and decimals. Irrational Number: Any real number that can not be expressed as a ratio. Adding and Subtracting Integers(P.2)

Basic Aglebra

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Algebra
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Fields of mathematics
Mathematics
Algebra
Elementary mathematics
Elementary algebra
Calculus
Syntax
Variable
Equation
Multiplication
Constant
Expression
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Basic algebra

Basics of Algebra Algebra is a division of mathematics designed to help solve certain types of problems quicker and easier. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values. This lesson introduces an important algebraic concept known as the Equation. The idea is that an equation represents a scale such as the one shown on the right. Instead of keeping the scale balanced with weights, numbers, or constants are used. These numbers are called constants because they constantly have the same value. For example the number 47 always represents 47 units or 47 multiplied by an unknown number. It never represents another value.

Add+Subtract Rational Expressions

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Algebra
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Multiplication
Regular expression
Fraction
CNote
Technology

Homework ???????????????Grade?8 Name:?___________________________________________ Date:?__________ The?LCM?of?two?rational?algebraic?expressions?is?often?used?to?add?or?subtract?the?two? expressions.?The?method?used?is?to?identify?all?common?factors?in?the?denominator?of? the?expressions,?and?multiply?the?numerators?by?the?uncommon?factors?(exactly?like?you? would?for?non?algebraic?fractions).? Add?or?subtract?the?following?expressions,?by?first?finding?the?LCD. 1. ????a???+????????a?+?x??????+???ax????? ???????????x???a?????x2?+?ax?+?a2??????x3???a3 2. ??1?????+??????5?????+???? ??x? ??????? ?? ???????????x?+?1????4x?+?4????x2???1 ?? 3. ????1?????+?????2x??????+???3x????+????x??????? ??????????3x???3??????(x???1)2???x?+?1?????(x?+?1)2?
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