Complex Verbal Expressions to Algebraic Expressions Date: ___________________________ SOL 7.23 The student will write verbal expressions/sentences as algebraic expressions/equations. Remember Your Vocabulary In the expression 4xy, _____, _____, and _____ are called ________________, and the result is called the __________________. An expression like 6 7 is called a _____________. In the expression 6 7 , _____ is the exponent, and _____ is the base. The exponent indicates the number of times ____ is used as a _________________. Example 1 Review Let n be the unknown number. a. eight more than the number __________________________ c. the product of the number and eight __________________________ e. three decreased by the number __________________________ Example 2 Review Let k be the unknown number. a. the sum of a number and two ___________________________ c. twice the number ___________________________ e. nine less than the number ___________________________ Example 3 Algebraic Expression to Include Grouping Symbols Let x be the unknown number. a. four times the sum of seven and the number ___________________________ c. seven less than the product of four and the number ___________________________ e. four times the quantity seven less than the number ___________________________ Example 4 Algebraic Expression to Include Grouping Symbols with Quotients Let u be the unknown number. a. two-fifths of the number ___________________________ c. five times the sum of the number and two ___________________________ e. half of the quantity five less than the number ___________________________ Example 5 Representing Age Let a be Adam’s age now. a. Adam’s age in three years ___________________________ c. four times Adam’s age three years ago ___________________________ e. three years more than four times Atom’s age ___________________________ Example 6 Lengths and Width Let w represent the width of a rectangle. The length is 8 cm more than the width. w a. five times the width ___________________________ c. five times the length ___________________________ e. one-eighth of the sum of 5 cm and the width ___________________________ Assignment Complex Verbal Expressions to Algebraic Expressions Practice
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