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Algebra I: Variables

Algebra I: Variables. YoungMath and Expert Subjects.com Present. Define the purpose of Algebra Define Algebra Define variable Define algebraic expression Define algebraic equation. Lesson Objectives (A.3a;A.3b):. Why am I learning this?. Algebra is everywhere! Teaches organization

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Algebra I: Variables

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  1. Algebra I: Variables YoungMath and Expert Subjects.com Present

  2. Define thepurposeof Algebra DefineAlgebra Definevariable Definealgebraic expression Definealgebraic equation Lesson Objectives (A.3a;A.3b):

  3. Why am I learning this? • Algebra is everywhere! • Teaches organization • Simple way of expressing a question to enable you to find the answer faster • Sharpen your reasoning (problem solving) skills • Prepare your for higher learning “Algebra looks so hard!”

  4. What is algebra? The part of mathematics in which lettersand other symbols are used to represent unknown numbers and quantities in formulas and equations. Examples: • If there are 4,000 widgets in a mile, how long is a widget (in inches)? • 2. If the temperature outside is 25° F, what is the temperature in degrees Celsius?

  5. What is the unknown value? • What’s the unknown in example 1? Length of a widget in inches • What is the unknown in example 2? Temperature in degrees Celsius In algebra, we use variables to represent unknown values. Variable: • *A symbol(frequently a letter) used to represent an unknown value; • An element, feature, or factor that is liable to vary or change

  6. Expressions vs. Equations Question: What is the difference between a expression and an equation? Language Arts- phrase and a sentence • Phrase does not convey meaning Ex: “down the street” • Sentence is complete thought Ex: “I went down the street.” Expression is a mathematical “phrase” • Ex: 4+3 Equation mathematical “sentence” • Ex: 4+3 = 7

  7. Algebraic Expressions & Equations Definition: mathematical expressions and equations the use a variable • Example of algebraic expressions: • 4x + 7 • 7y • 2 + θ • α/ 6σ Cannot be solved; only simplified if possible Ex: 4 + 9 – b 13- b • Example of algebraic equations: • 4x + 7 = 9 • 7y = 49 • 2 + θ = 45 • α/6σ = 546 Can be solved to determine the value of the variable Ex: 3x =12 x = 4

  8. Define thepurposeof Algebra Simple way of expressing a question to enable you to find the answer faster DefineAlgebra The part of mathematics in which lettersand other symbols are used to represent unknown numbers and quantities in formulas and equations. Definevariable A symbol (frequently a letter) used to represent an unknown value Definealgebraic expression A mathematical “phrase” in which lettersand other symbols are used to represent unknown numbers and quantities (Does not convey meaning!) Definealgebraic equation A mathematical “sentence” in which lettersand other symbols are used to represent unknown numbers and quantities (complete thought!) Lesson Objectives (A.3a;A.3b):

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