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Understanding Variables and Expressions in Algebra

This lesson focuses on variables and algebraic expressions, teaching students how to write mathematical expressions for verbal expressions and vice versa. Topics covered include variables, powers, algebraic expressions, factors, exponents, and products.

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Understanding Variables and Expressions in Algebra

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  1. Variables and Expressions Unit 1 Lesson 1

  2. VARIABLES AND EXPRESSIONS Students will be able to: write mathematical expressions for verbal expressions, and vice versa. Key Vocabulary: • Variables  Power • Algebraic Expression  Base • Factors  Exponent • Product

  3. VARIABLES AND EXPRESSIONS VARIABLESare symbols used to represent unspecified numbers or values. Any letter can be used as a variable.

  4. VARIABLES AND EXPRESSIONS ALGEBRAIC EXPRESSIONconsists of one or more numbers and variables along with one or more arithmetic operation. Various ways to represent a product of and : In each expression above, the quantities being multiplied are called factors, and the result is called the product.

  5. VARIABLES AND EXPRESSIONS Translating Verbal Expression into Algebraic Expression:

  6. VARIABLES AND EXPRESSIONS Translating Verbal Expression into Algebraic Expression: Example: three more than a number

  7. VARIABLES AND EXPRESSIONS Sample Problem 1: Write each expression algebraically. • The product of 8 and a number • The difference between 16 and squared • The sum of 7 and • divided by three • Four times eight plus

  8. VARIABLES AND EXPRESSIONS Sample Problem 1: Write each expression algebraically. • The product of 8 and a number • The difference between 16 and squared • The sum of 7 and • divided by three • Four times eight plus

  9. VARIABLES AND EXPRESSIONS POWERis an expression that represents repeated multiplication of the same factor. where: = base = exponent, which corresponds to the number of times the base is used as a factors

  10. VARIABLES AND EXPRESSIONS POWERis an expression that represents repeated multiplication of the same factor.

  11. VARIABLES AND EXPRESSIONS POWERis an expression that represents repeated multiplication of the same factor. Example:

  12. VARIABLES AND EXPRESSIONS Sample Problem 2: Find each value.

  13. VARIABLES AND EXPRESSIONS Sample Problem 2: Find each value.

  14. VARIABLES AND EXPRESSIONS Translating Algebraic Expression into Verbal Expression: Example:

  15. VARIABLES AND EXPRESSIONS Sample Problem 3: Write a verbal expression for each algebraic expression.

  16. VARIABLES AND EXPRESSIONS Sample Problem 3: Write a verbal expression for each algebraic expression. • = the difference between and • = the sum of and • = the ratio between and • = the product of and • = the difference between times and

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