Translate each problem into mathematical equation

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Translate each problem into mathematical equation

Learning task 3 translate each problem into a mathematical equation. How to translate mathematical sentences into equations. How to translate a word problem into an equation. How to translate mathematical expressions. Translate each problem into mathematical equation then solve. Instant access to the response in our application and millions of other answers 4u without announcements to be smarter, make the download now! or display some announcements and unlock the answer on the site goals be able to translate phrases and declarations of mathematical expressions and equations practical problems rarely, or never, are in the form of equation. The work of the problem solver is to translate the problem of phrases and declarations into expressions and mathematical equations, and then to solve the equations. As problem solvers, our work is made simpler if we are able to translate verbal sentences to mathematical expressions and follow the five-step resolution of solving problems. To help us translate from words to symbols, we can use the following dictionary mathematics. Matheman of the word dictionary or phrase mathematical operation sum, sum of, added to, an increase in, more than, and, in addition, less, subtracted, decreased, less , less than product, the product of, of, multiplied by, sometimes, by a quotient, divided by, the proportion, the equal, is equal to, is, the result is ?, it becomes = number A, an unknown quantity, a unknown, an amount \ (x \) (or any symbol) set set to translate each expression or phrase in a mathematic expression or equation ? o. \ (\ Underbrace {\ Text {Nine}} {9} \ underbrace {\ text {more than}} _ {+} \ underbrace {\ text {some number}} _ {x} \). SOLUTION Translation: \ (9 + x \). SAMPLE SET A \ (\ Text {\ Text {} _ {18} \ underbrace {\ text {less}} _ {\ Text {Number}} {x} \). SOLUTION Translation: \ (18 - x \). Sample Set A (\ Underbrace {\ text {the quantity}} _ {y} \ underbrace {\ text {less}} _ {} \ underbrace {\ text {five}} _ {5} \). SOLUTION Translation: \ (Y - 5 \). Sample set a \ (\ text {\ text {four} _ {4} \ underbrace {\ text {}} _ {\ cdot} \ underbrace {\ text {x} {{x} \ underbrace {\ text {}} {=} \ underbrace {\ text {Sixteen}} _ {16} \). SOLUTION Translation: \ (4x = 16 \). Sample set a \ (\ text {a fifth}}} {{\ dfrac {1} {5}} \ underbrace {\ text {}} {\ cdot} \ underbrace {\ text {a number} _ {n} \ underbrace {\ text {}} {=} \ underbrace {\ text {thirty}} {30} \). Translation solution: \ (\ Dfrac {1} {5} n = 30 m), or \ (\ Dfrac {n} {5} = 30 m). Sample set a \ (\ text {\ text {five} _ {5} \ underbrace {\ text {}}} _ {\ cdot} \ underbrace {\ \ text {x} \ Underbrace text {}} {{=} \ underbrace {\ text {two}} _ {2} \ underbrace {\ text {more than}} _ {+} \ underbrace {\ text {twice}} {2 } \ underbrace {\ text {Number}} _ {x} \). Solution of translation: \ (5x = 2 + 2x \). Practical Set to translate each expression or phrase in a mathematic expression or equation. Twelve more than one number. Response \ (12 + x \) Practice set an eight minus a number. Response \ (8 - x \) Practice set to a unknown smaller amount of fourteen. Response \ (x - 14 \) Practice set A six-fold number is fifty-four. Response \ (6x = 54 \) Practice set A two namer of a number is eleven. Response \ (\ Dfrac {2} {9} x = 11 \) Practice set A three more than seven-fold number is nine more than five times the number. Response \ (3 + 9 + = 7x 5x \) Practice set to twice a number less eight is equal to one more than three times the number. Response \ (2x - 8 = 3x + 1 \) or \ (2x - 8 = 1 + 3x \) Sample set B sometimes the structure of the phrase indicates the use of grouping symbols. WEA will be alert to Vrolules. They left terms. \ (\ Underbrace {\ Text {Number}} {(x} \ Underbrace {\ text {divided by}} {{\ div} \ underbrace {\ text {four}} {4)} \ Underbrace text {less}} _ {\ Text {Six}} {6} \ Underbrace {\ Text {}} _ {=} \ underbrace {\ text {twofe} _ {12} ). Translation solution: \ (\ Dfrac {x} {4} - 6 = 12 ?). S? ? Rie Some sentences and sentences do not translate directly. We must be careful to make them correctly. The word often appears in sentences and sentences. The word of means at a starting point for the following motion translation will illustrate this use. Solution of translation: \ (x - 20 \) The word of indicated the movement (subtract) is to start at the point of some number.? ? set B Ten less Some number. It should be noted that less than By be overridden. Ten of some number. Solution Tradu?? ? o: \ (X - 10 \). Pr¨¢tica Set B Translate each sentence or senten?a in a ? expressed the matem¨¢tica or equa?? ? o. A Number divided by eight, seven, ? ? fifty. Answer \ (\ DFRAC {X} + {7} 8 = 50 \) Set a Pr¨¢tica Number divided by three, the same least Number multiplied by six the ? more than one number. Answer \ (\ DFRAC {2} {3} - 6x + 1 = x \ \ \ \ \ \ \ \ \) Set B nine some Number ? ? four. Answer \ (x - 9 = 4 \) Set b Pr¨¢tica some amount less than five ? ? eight. Answer \ (x - 5 = 8 \) Translate each sentence or senten?a to express the matem¨¢tica ? ? or the equa??. Exerc?cio \ (\ {1} PATAINTEX \) an amount least twelve. Answer \ (x - 12 \) Exerc?cio \ (\ {2} PATAINTEX \) six plus an unknown number. Exerc?cio \ (\ PATAINTEX 3} {\) A Number least four. Answer \ (x - 4 \) Exerc?cio \ (\ PATAINTEX {4} \) a Number seven. Exerc?cio \ (\ PATAINTEX {5} \) Number An increased by one. Answer \ (x + 1 \) Exerc?cio \ (\ PATAINTEX {6} \) A Number decreased by ten. Exerc?cio \ (\ PraZIndex {7} \) seven added to a negative number. Answer \ (- 7 + x \) Exerc?cio \ (\ PAMAIndex {8} \) NEX NINE added to a number. Exerc?cio \ (\ PATAINTEX {9} \) A Number opposite six more. Answer \ (x + (-6) \) Exerc?cio \ (\ PATAINTEX {10} \) A Number opposite least five. Exerc?cio \ (\ PATAINTEX {11} \) A Number opposite least negative. Answer \ (x - [- (- 1)] \) Exerc?cio \ (\ PATAINTEX {12} \) A Number opposite least twelve negative. Exerc?cio \ (\ PATAINTEX {13} \) three times eleven added to one number. Answer \ (3x + 11 \) Exerc?cio \ (\ PATAINTEX {14} \) six most five times an unknown number. Exerc?cio \ (\ PAZEINTEX {15} \) twice Number ? ? least seven equal to four. Answer \ (2x - 7 = 4 \) Exerc?cio \ (\ PATAINTEX {16} \) A ten-fold increased amount of two to nine ?. Exerc?cio \ (\ PATAINTEX {17} \) ? ? fourteen when added to two times the result to one ? Number six. Answer \ (2x = 14 + 6 \ \ \ \) \ (\ PATAINTEX {18} \) Number Four times one twenty-nine to eleven ?. Exerc?cio \ (\ PATAINTEX {19} \) Three fifths over an eight Number ? ? fifty. Answer \ (\ DFRAC {3} {5} = x 8 + 50 \) Exerc?cio \ (\ PraBEINTEX {20} \) on the 9th of a Number Two further one-fifth to forty-one ?. Exerc?cio \ (\ P¨¢ginaIndex {21} \) When four ter?os a Number s? ? increased by the twelve five ? ? the result. Answer \ (\ DFRAC {3} {4} x 12 = + 5 \ \) Exerc?cio \ (\ PATAINTEX {22} \) when seven times a diminu?do ? Number The number twice, the result ? ? negative. Exerc?cio \ (\ P¨¢ginaIndex {23} \) When eight times a Number ? increased by five, the result to be equal to the original Number ? twenty Six. Answer \ (8x + 5 + 26 = x \) Exerc?cio \ (\ PAMAIndex {24} \) Five more than any ? ? three Number more than four times the number. Exerc?cio \ (\ PATAINTEX {25} \) When a Number divided by six to nine ? increased, the result to one ?. Answer \ (\ DFRAC {X} 9 {6} = 1 + \) Exerc?cio \ (\ PATAINTEX {26} \) ? ? A Number itself least equal to three times itself. Exerc?cio \ (\ PraZIndex {27} \) A Number divided by seven, two, seven ? ?. Answer \ (\ DFRAC {X} 2 + {7} = 17 \) Exerc?cio \ (\ PATAINTEX {28} \) A divided by nine Number, Number least five times the ? equal to one more than the number. Exerc?cio \ (\ P¨¢ginaIndex {29} \) where ? is the two subtracted some Number, the result A ? December Answer \ (x - 2 = 10 \) Exerc?cio \ (\ PATAINTEX {30} \) when the subtracted four s? ? some Number, the result ? ? thirty-one. Exerc?cio \ (\ PAZEINTEX {31} \) unless some Three Number ? ? equal to twice the Number least six. Answer \ (x - 3 = 2x - 6 \ \ \) \ (\ PATAINTEX {32} \) Thirteen less than some Number ? ? equal to three times The number added to eight. Exerc?cio \ (\ PraBEIndex {33} \) where ? subtra?do twelve to five times a Number, the result to two less than ? Number Response \ (5x - 12 = x - 2 \) Exercise \ (\ pataintex {34} \) When threatening is subtracted a number, the result is eight less than six times the original number. Exercise \ (\ Paninindex {35} \) When a number is six subtracted, the result is four more than the original number. Answer \ (6 - X = x + 4 \) Exercise Exercise When a ? ? subtra?do Number twenty four, the result ? ? less than six times the number. Exerc?cio \ (\ PageIndex {37} \) ? ? A Number subtra?do from nine. This result ? ? then increased by one. The result ? ? eight more than three times the number. Answer \ (9 - 3x = x + 1 8 + \) Exerc?cio \ (\ PageIndex {38} \) five times a Number ? increased by two. This result ? ? then decreased by three times in a BER. The result ? ? more than three to three times the number. Exerc?cio \ (\ PageIndex {39} \) two times a Number ? reduced in seven. This reasult ? ? diminu?da four times the number. The result ? ? the original negative Number, least six. Answer \ (2x - 7 - -x = 4x - 6 \) Exerc?cio \ (\ PageIndex {40} \) fifteen times a fifteen Number ? reduced. This result ? ? ? Enta augmented by twice the number. The result ? ? negative five times the original Number less the opposite of ten. Exercises for the revision Exerc?cio ? \ (\ PageIndex {41} \) \ (\ dfrac {8} 9} {\) than ? ? Number \ (\ dfrac {2} {3} \)? Answer \ (\ dfrac {3} {4} \) Exerc?cio \ (\ PageIndex {42} \) Determine the value of \ (\ dfrac {21} + {40} \ dfrac {17} {30} \). Exerc?cio \ (\ PageIndex {43} \) Find the value of \ (3 \ dfrac {1} {12} + 4 \ dfrac {1} {3} + 1 \ dfrac {1} {4} \) Answer \ ( 8 \ dfrac {2} {3} \) Exerc?cio \ (\ PageIndex {44} \) Convert \ (6:11 \ dfrac {1} {5} \) for the frac?? ?. Exerc?cio \ (\ PageIndex {45} \) equa?? solve the ? \ (\ dfrac 3x} {4} {1 = -5 + \). Answer \ (x = -8 \) Translate each English phrase in the following problem on an express ? seaweed ? FACTORY and configure equa?? ? related. Leta Ya be the unknown number. Some less ? ? Number 11a 11 ? ? equal to the Number and ? ? 24. STEPA 1A OFA 3A: ? Translate "Some Number less than 11". A 11 ".

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