h_translate - TRANSLATING ENGLISH PHRASES INTO ALGEBRAIC...

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VC DEPARTMENT OF MATHEMATICS REVISED FALL 2005 TRANSLATING ENGLISH PHRASES INTO ALGEBRAIC EXPRESSIONS ENGLISH PHRASES ALGEBRAIC EXPRESSIONS Ten more than a number .................................................................................................................................................. x + 10 A number added to five ..................................................................................................................................................... 5 + x A number increased by thirteen ....................................................................................................................................... x + 13 Four less than ten ............................................................................................................................................................. 10 - 4 Six less than a number ....................................................................................................................................................... x - 6 A number decreased by seven ............................................................................................................................................ x - 7 The difference between a number and three ...................................................................................................................... x - 3 The difference between three and a number ...................................................................................................................... 3 - x Twice a number ..................................................................................................................................................................... 2 x Half (of) a number .................................................................................................................................................... 1 2 x or 2 x A number squared or the square of a number ......................................................................................................................... x 2 The square of five more than a number ......................................................................................................................... ( x + 5) 2 Five more than the square of a number or the square of a number, increased by five ...................................................... x 2 + 5 Ten percent of a number ................................................................................................................................................... 0.10 x Ten times a number ............................................................................................................................................................. 10 x Quotient of a number and three ............................................................................................................................................. 3 x Quotient of three and a number ............................................................................................................................................. 3 x Five times the sum of a number and two ...................................................................................................................... 5( x + 2) Five times the difference of a number and four ............................................................................................................ 5( x + 4) Five is three more than a number ................................................................................................................................. 5 = x + 3 The product of two and a number is ten ........................................................................................................................ 2 x = 10 One half (of) a number is ten ......................................................................................................................................
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