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Algebraic Expressions and Terms

Algebraic Expressions and Terms.

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Algebraic Expressions and Terms

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  1. Algebraic Expressions and Terms OBJECTIVE: Students will evaluate expressions by applying algebraic order of operations and the commutative, associative, and distributive properties and justify each step in the process by following and performing the correct operations, by using math facts skills, doing critical thinking, writing reflective summaries, and scoring an 80% proficiency on exit slip quizzes and online assessments. STANDARD : AF 1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables.

  2. Expressions You are familiar with the following type of numerical expressions: 12 + 6 3 (12) 6 (3 + 2) 15 - 4 (6)

  3. 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.

  4. Algebraic Expressions When variables are used with other numbers, parentheses, or operations, they create an algebraic expression. a + 2 (a) (b) 3m + 6n - 6

  5. What are coefficients? A coefficient is the number multiplied by the variable in an algebraic expression. Algebraic ExpressionCoefficient 6m + 5 6 8r + 7m + 4 8, 7 14b - 8 14

  6. 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 ExpressionsTerms a + 2 a, 2 3m + 6n - 6 3m, 6n, - 6

  7. What are constants? • A constant is a number that cannot change its value. In the expression: 5x + 7y - 2 the constant is - 2.

  8. Figure it out! Identify the terms, coefficients, and constants. 1. 12a - 6b + 4 2. 4x - 2y 3. c - 32 4. 3x + 2

  9. Writing Algebraic Expressions • You can translate word phrases into variable expressions. • Examples: • Three more than a number = x + 3 • The quotient of a number and 8 = y/8 • Six times a number = 6 x n or 6n • 15 less than a number = z – 15 • The quotient of 30 and a number plus 10 = 30/x + 10.

  10. Addition: Add Plus Sum Total Increased by More than Subtraction: Minus Difference Subtract Less than Decreased by less Key words to look for:

  11. Multiplication Product Times multiply Division Quotient divide Cont…

  12. EXIT SLIP: Write algebraic expressions for these word phrases • Four more than s • The product of 7 and c • Nine less than x • A number divided by the sum of 4 and 7. • Twice the sum of a number plus 4. • The sum of ¾ of a number and 7. • Ten times a number increased by 150.

  13. Write an algebraic phrase for these situations • A car was traveling 35 miles per hour for a number of hours. • Bob ran 7 times a week for a number of weeks. • The plumber added an extra $35 to her bill. • Thirty-five fewer people came than the number expected.

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