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### Transcript of Algebric expression

• 1. ExpressionsYou are familiar with the following type of numerical expressions: 12 + 6 3 (12) 6 (3 + 2) 15 - 4 (6)
• 2. What is a variable?In the expression 12 + B, the letter B is a variable. A variable is a letter or symbol that represents an unknown value.
• 3. What are coefficients?A coefficient is the number multiplied by the variable in an algebraic expression.Algebraic Expression Coefficient 6m + 5 6 8r + 7m + 4 8, 7 14b - 8 14
• 4. Algebraic ExpressionsWhen variables are used with other numbers, parentheses, or operations, they create an algebraic expression. a + 2 (a) (b) 3m + 6n - 6
• 5. What is a term? A term is the name given to a number, a variable, or a number and a variable combined by multiplication or division.Algebraic Expressions Terms a + 2 a, 2 3m + 6n - 6 3m, 6n, - 6
• 6. What are constants? A constant is a number that cannot change its value. In the expression: 5x + 7y - 2 the constant is - 2.
• 7. Evaluation Evaluate an algebraic expression To find the value of an algebraic expression by substituting numbers for variables. m+8 m=2 2 + 8 = 10 r3 r=5 53=2
• 8. Definitions Simplify Combine like terms and complete all operations m=2m+8+m 2m+8 (2 x 2) + 8 4 + 8 = 12
• 9. Write Algebraic Expressions for These Word Phrases A number s plus 2 s+2 A number decrease by 1 k-1 31 less than a number x - 31 A number b increased by 7 b+7 The sum of a number & 6 n+6 9 more than a number z+9
• 10. Evaluate each algebraicexpression when x = 10 x+8 18 x + 49 59 x+x 20 x-x 0 x-7 3 42 - x 32
• 11. Complete This Table x x+6 5 11 10 16 21 27 32 38
• 12. Write an Algebraic Expression for These Situations Scotts brother is 2 years younger than Scott s-2 The sum of two numbers is 12 v + c = 12 The difference between two numbers is 5 mn=5