Algebraic Expressions: Understanding Variables, Coefficients, Terms, and Constants

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Learn about algebraic expressions, variables, coefficients, terms, and constants. Discover how to identify and work with these components in mathematical expressions. Practice writing algebraic expressions from word phrases. Enhance your understanding of algebraic concepts.

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09.18.2018 Agenda Do now Cornell notes: Introduction to Algebraic Expressions T.O.T.D. Ticket in the Door There is to be Absolutely NO talking upon entering the room Review for your unit 2 Vocabulary notes for quiz on Friday. D.E.A.R!

Algebraic Expressions https://www.youtube.com/watch?v =jt8dVpBxYDE

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

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.

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

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

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 a + 2 Terms a, 2 3m + 6n - 6 3m, 6n, - 6

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

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

Writing Algebraic Expressions You can translate word phrases into variable expressions. Examples: 1. Three more than a number = x + 3 2. The quotient of a number and 8 = y/8 3. Six times a number = 6 x n or 6n 4. 15 less than a number = z 15 5. The quotient of 30 and a number plus 10 = 30/x + 10.

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

Continue Multiplication Product Times multiply Division Quotient divide

Write algebraic expressions for these word phrases 1. Four more than s 2. The product of 7 and c 3. Nine less than x 4. A number divided by the sum of 4 and 7. 5. Twice the sum of a number plus 4. 6. The sum of of a number and 7. 7. Ten times a number increased by 150.

Write an algebraic phrase for these situations 1. A car was traveling 35 miles per hour for a number of hours. 2. Bob ran 7 times a week for a number of weeks. 3. The plumber added an extra $35 to her bill. 4. Thirty-five fewer people came than the number expected.