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TRANSLATING •Word Phrases to Algebraic Expressions •Writing Equations •Translating Equations into Sentences Phrases and symbols that suggest adding and subtracting. ADDITION • • • • • Sum Total Added to Increased by More than SUBTRACTION • • • • Difference Subtracted from Decreased by Less than Phrases and symbols that suggest multiplying and dividing. MULTIPLICATION • Product • Times • Multiplied by ( ) Try to stay away from using the symbol “X”. Why? Because it looks like a variable. DIVISION • Quotient • Divided by a b a b Write in symbols 1) • The quotient of (u + 2v) and w. (u 2v) 2) w (u 2v) w • The product of 1 and 13 1 13 1 13 1(13) (1)(13) Remember, stay away from the multiplication symbol “x” 3) 19 less than w w 19 When using the Phrases More than Added to less than subtracted from 4) 13 subtracted from d d 13 TURN THE SYMBOLS AROUND 5) 10 meters added to the perimeter p 10 6) Eight more than a number n8 Writing Equations and Formulas Words or phrases that suggest “ = “ Translating Equations Has 3 Steps 7) Nine times a number subtracted from 95 equals 37. Let “n” represent “a number” 95 9n 37 3 Steps 8) Twice the number x decreased by eight equals seventy. Let “x” represent “the number” 2x 8 70 Watch Out!! We’re not using the Less than or More than phrase So translate in order. 9) The perimeter of a square equals four times the length of the side. P 4( s ) or P 4 s 10) The circumference (C) of a circle equals the product of 2, π, and the radius (r). C ( 2 )( )( r ) or C 2 r 11) The square of the hypotenuse (c) is equal to the sum of the squares of the legs (a) and (b). c ab 2 2 2 When translating from symbols into words, there is more than one way to translate an equation. 12) Translate into words the expression 4m – 19 • The product of 4 and a number “m” decreased by 19. • 4 times a number “m” minus 19. • 19 subtracted from 4 times a number “m” • The difference of 4 times a number “m” and 19. 13) Translate into words the expression 3y + 15 = 14 14) Translate into words the expression 12 – 2x = -5 15) Translate into words the expression A = ½ bh