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Algebra Vocabulary SOL 6.23 Algebraic Expressions • An algebraic expression is made up of three things: numbers, variables and operation signs such as + and -. ab. • Expressions do not include an equal sign! • Examples : 2x + 1 and 3y Coefficient • A coefficient is the numerical factor in a term. It is the number in front of the variable. –Example: in the term 4x, 4 is the coefficient. • If the coefficient is not written, it is 1 –Example: in the term d, 1 is the coefficient. 1. Circle the coefficient 3x 4y 5a 7b 1a Variable • A variable is a symbol (placeholder) used to represent an unknown number. –Example: in the term 4x, x is the variable 2. Circle the variable 3x 4y 5a 7b a Term • A term is a number, variable, product or quotient in an expression of sums and/or differences. Terms are separated with a + or – sign. –Examples: w 5 3w y/ 8 How many terms are there? 2 7x + 5x - 3 There are 3 terms! 3. Indicate the number of terms in each expression • 2x + 1 _____ 2 • 3b 1 _____ • 5a - 25 _____ 2 • a/ 6 1 _____ • y/ 2 • 4d – 6 +3–7 3 _____ _____ 2 Constant • A constant is a value that does not change. • It is what it is. In the algebraic expression 4x + 5y + 7, 7 is the constant. Identify the Constant in each expression. • 6x + m + 12 • 4b – 5 • 7x + 13y + 3 Quantity A quantity is a specific or indefinite amount. 3(2 + 6) can be stated as 3 times the quantity of 2 and 6. Identify the quantity in: 5x + 2y + 3 + 2(z – 4) Work with your elbow partner Use the algebraic expression below to give an example of each of the vocabulary words. 5a – 4b + c + 8 Coefficients_____ Variables________ Terms___________ Constant_________ Inverse Operations • Inverse operations are operations which undo each other. 4. Examples: Subtraction • Addition and _____________ are inverse operations • Multiplication and _________ Division are inverse operations Equations • An equation is a mathematical sentence stating that two expressions are equal. – Example: 2x + 1 = 4 •The expressions are equal to one another. 5. Expression or Equation? A. 4d – 6 Expression B. 3x = 6 Equation C. 3b Expression D. a/6 Expression E. y/2 + 3 = 7 Equation