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Pre-algebra Skill-Builder # T – 4 Translating English to Algebra: Division Some English words/phrases that translate to the division operation are: divided by quotient ratio reciprocal In the following we will use x to denote a number. If there are two or three, we will use y and z. Examples Translate the given English phrase to an algebraic expression. 1) The quotient of a number and 2 Translation: Translation: The quotient of a number and 2. ÷ or 2) 28 divided by a number 28 divided by a number ÷ or x or or x Thus the phrase translates to Thus the phrase translates to 28 or 28 x . x 28 ÷ x or x x ÷ 12 or or x 12 . 12 3) The ratio of a number and 20 4) The reciprocal of a number Translation: Translation: The ratio number of a and 20 x Thus the phrase translates to x . 20 The reciprocal of a number 1 Thus the phrase translates to 1 . x x Pre-algebra Skill-Builder # T – 4 Translating English to Algebra: Division Translate the given English phrase to an algebraic expression. 1) A number divided by 25 2) 16 divided by a number 3) The quotient of a number and 4 4) The quotient of 4 and a number 5) The ratio of a number and 72 6) The ratio of 72 and a number 7) The reciprocal of a number 8) The ratio of two numbers 9) The quotient of two numbers 10) A number divided by a second number Pre-algebra Skill-Builder # T – 4 Translating English to Algebra: Division Answer Key: 1) x 25 2) 16 x 3) x 4 4) 4 x 5) x 72 6) 72 x 7) 1 x 8) x y 10) x y 9) x y Prepared by: Dr. Teresa V. Sutcliffe Summer 2010