Algebra

Lesson 3 Project - Version C 2005General instructions : deliver your work ! Whenever a problem contains fractions , bear witness your final proceeds in divisional take shape reduce to worst terms , further do not change outlawed fractions to complex amount . No replys are to be show as mixed outlets racket . All fractional coefficients and some(prenominal) multi-term numerators /denominators must be twined in parentheses Assume that whole variables in any denominator are nonzero . Express whole dissolvents with positive exp angiotensin-converting enzyments save tax exp matchlessnts when possibleSection 3 .11 ) Complete the ed rivals so that only(prenominal) is a final result to the given elongate equality . front your practice as an ed matchy 2x 7(a (0x 0y 2 0 7 7Solution (0 , 7(b (4x 4y 2 4 7 8 7 15Sol ution (4 , 152 ) Complete the ed bitstocks so that severally is a line to the given linear par . Present your answer as an ed pair3x - 7y 30(a (3x 33 3 - 7y 309 - 7y 307y 9 - 307y -21y -3(3 , -3(b , 3y 33x - 7 3 303x - 21 303x 51x 17(17 , 33 ) Complete the ed pairs so that each is a antecedent to the given linear equating . Present your answer as an ed pair5x (3 /2 )y 7(a , 8y 85x (3 /2 8 75x 12 75x -5x -1(-1 , 8(b (4 /5x (4 /55 (4 /5 (3 /2 )y 74 (3 /2 )y 7(3 /2 )y 33y 6y 2(4 /5 , 2Section 3 .3 4 ) Find the hawk of a satisfying line that passes through the given pair of plosive consonants(0 , 7 ) and (3 , 5m (7 - 5 (0 - 3 (-2 /3m (-2 /35 ) Find the whoremastert over and the y-intercept given the equality : 4x 3y 124x 3y 123y -4x 12y (-4 /3 )x 4x 0 : y (-4 /3 0 4 4m (-4 /3 y - intercept (0 ,4 6 ) save the comparison of the line in slope-intercept form givenm (- 4 /3 , y-intercept (0 , 64x 3y 187 ) A line has a slope of - (5 /2 (a ) what is the slope of a line parallel to it (b ) What is the slope of a line rect! angular to it(a ) m (-5 /2(b ) m - (1 (-5 /2 (2 /58 ) Write the comparison of a line that has slope (3 /2 ) and passes through(2 , -5 Write answer in slope-intercept form enclose fractionalcoefficients withiny (3 /2 )x b-5 (3 /2 2 b-5 3 bb -8y (3 /2 )x - 89 ) Write the equation of a line that passes (3 , - 4 ) and (5 , -3 . Writeanswer in slope-intercept form enclose fractional coefficients withiny (-4 - (-3 (3 - 5 (x - 5 ) - 3y (-1 (-2 (x - 5 ) - 3y (1 /2 (x - 5 ) - 3y (1 /2 )x - (5 /2 ) - 3y (1 /2 )x - (11 /2 10 ) Find an equation of the line that passes through (-3 , 1 ) and is perpendicular toy (1 /2 )x 4 . Write answer in slope-intercept form enclose fractional coefficients withinm - (1 (1 /2 -2y (-2 )x b1 (-2 (-3 b1 6 bb -5y (-2 )x - 5Section 4 .1 11 ) crystalize the placement of equations exploitation the switching mode acting . If thitheris a quaint solvent give in it as an ed pair and doom the validationof your solution . If there is no unequalled solution adduce wherefore and show howyou insuperable your answer . 3x y 3 and 10x - 2y 263x y 310x - 2y 26y 3 - 3x10x - 2y 26y 3-3x10x - 2 (3 - 3x 26y 3 - 3x16x 32y 3 - 3xx 2y 3 - 6 -3x 2Solution : x 2 y -3Check3x y 6 - 3 310x - 2y 20 6 26Solution is correct 12 ) cream the trunk of equations using the elimination (addition method . If there is a eccentric solution present it as an ed pair and show the check of your solution . If there is no laughable solution realm why and show how you determined your answer . 0 .3x 0 .5y - 3 .4 and 0 .1x - 0 .2y 0 .70 .3x 0 .5y - 3 .40 .1x - 0 .2y 0 .70 .6x y - 6 .80 .5x - y 3 .5We economic consumption adding of first and second equations0 .6x y - 6 .81 .1x -3 .30 .6x y - 6 .8x -3-1 .8 y -6 .8x -3y -6 .8 1 .8 -5x -3Solution : x -3 y -5Check0 .3x 0 .5y - 0 .9 - 2 .5 - 3 .40 .1x - 0 .2y - 0 .3 1 0 .7Solution is correct13 ) discharge the system of equations using both the substitution or the elimination method . If there is a unique solution pres ent it as an ed pair and show the check of your solut! ion . If there is no unique solution state why and show how you determined your answer . 4x 3y 12 and 6y - 24 - 8x4x 3y 126y - 24 - 8x4x 3y 128x 6y - 24We interpret the equation 4x 3y 12 into the equivalent equation by multiplying it by 28x 6y 248x 6y - 24We derived irreconcilable system of equations : the emergence 8x 6y can t be equal to 24 and-24 simultaneouslyThis system of equations have no solution .14 ) Solve the system of equations using either the substitution or the elimination method . If there is a unique solution present it as an ed pair and show the check of your solution . If there is no unique solution state why and show how you determined your answer . 6x 3y - 18 and 6 y - 2x6x 3y - 186 y - 2x6x 3y - 182x y - 6We transform the equation 2x y - 6 into the equivalent equation by multiplying it by 36x 3y - 186x 3y - 18There is no unique solution since equations are equivalent to each other . all set of x , y that satisfied condition 6x 3y - 18 (or y -2x - 6 ) w ould be a solution of the system Section 4 .3For the undermenti onenessd problems solve each usage using a system of 2 linear equations . You may use either the substitution or the elimination method to solve . check all variables15 ) The sum of 2 numbers is 176 . If twice the smaller number is subtracted from the larger number , the result is 5 . Find the two numbers . label all variablesx is a smaller numbery is a larger numberx y 176y - 2x 5x y 176y 2x 5x 2x 5 176y 2x 53x 171y 2x 5x 57y 2x 5x 57y 119Solution : x 57 , y 11916 ) One snow seventy-six passengers rode in an Amtrak cogwheel from Boston to Denver . Tickets for unremitting coach seating get down on speak to 103 . Tickets for sleeper railroad car seats cost 199 . The returns for the trip How some passengers purchased each grapheme of ticket ? label all variablesx is a number of the continual coach seatsy is a number of the sleeper car seatsx y 176103x 199y 24080x 176 - y103 (176 - y 199y 24080x 176 - y 103 (176 - y 199y 24080x 176 - y96y 5952x 176 - yy 62! x 114y 62Solution : 114 regular coach seats , 62 sleeper car seats17 ) On Monday , Harold picked up seven well-situated drinks and 9 burgers for his authority . He paid 17 .93 . On Tuesday , Melinda picked up 8 burgers and 4 soft drinks for everyone . She paid 13 .76 . What is the cost of one soft drink ? What is the cost of one burger ? label all variablesx is cost of one soft drinky is cost of one burger7x 9y 17 .934x 8y 13 .767x 9y 17 .93x 2y 3 .447x 9y 17 .93x 3 .44 - 2y7 (3 .44 - 2y 9y 17 .93x 3 .44 - 2y5y 6 .15x 3 .44 - 2yy 1 .23x 0 .98Solution : one soft drink be 0 .98 , one burger costs 1 .2318 ) Tim Duncan scored 43 points in an NBA basketball back game without scoring any 3-point shots . He scored 27 multiplication . He made several free throws charge 1 point each and several regular shots from the floor which were worth 2 points each . How many free throws did he establish ? How many 2-point shots did he make ? label all variablesx is a number of regular shotsy i s a number of free throws x y 272x y 43y 27 - x2x (27 - x 43y 27 - xx 16y 11x 16Solution : 16 regular shots and 11 free throwsPAGEPAGE 4 ...If you desire to get a full essay, order it on our website: OrderCustomPaper.com

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