Systems of Linear Equations - Miami Dade College

1 Intermediate AlgebraSystems of Linear EquationsName_____MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the the system by elimination. If the system is inconsistent or has dependent Equations , say )-x- 8y=-72x+ 8y=61)A){(-1,-1)}B){(0,0)}C){(-1,1)}D)+; inconsistent system2) x+ 4y= 132x+ 3y= 62)A){(3, 5)}B){(-3, 4)}C){(-4, 5)}D)+; inconsistent system3) 5x- 2y= 3-20x+ 8y=-123)A){(-3,-9)}B){(1, 1)}C){(x, y) 5x- 2y= 3}; dependent equationsD)+; inconsistent system4) 8x+ 9y= 8-2x+ 2y=-24)A){(1,0)}B){(1,1)}C){(0,1)}D)+; inconsistent systemSolve the system by substitution. If the system is inconsistent or has dependent Equations , say )y=-524x-5x- 6y=35)A)-45,16B)+; inconsistent systemC)45,16D)-45,-166)x+ y=9x+ y=56)A){(9,5)}B){(0,14)}C)+; inconsistent systemD){(x, y) x+ y=5}; dependent equations7) x+ y=22x+ 2y=47)A){(0, 0)}B){(5,-3)}C){(x, y) x+ y=2}; dependent equationsD)+; inconsistent system8)5x- 2y=-1 x+ 4y= 358)A){(3, 9)}B){(2, 9)}C){(3, 8)}D){(2, 8)}1 Solve the system by )5x+ y=16 x+ 6y=389)A){(4,-4)}B){(2,6)}C){(2,1)}D){(- 2,6)}10)y=9- 2xx+ 5y=010)A){(5,-1)}B){(-5,-1)}C){(4,1)}D){ (5,4)}Graph the compound )x+ yL 2 and yK 211)2A)B)C)D)12)2x- y> 4 and xK 412)3A)B)C)D)13)3x- 2yK 6 and x- 1> 013)4A)B)C)D)Solve the )During the 1998-1999 Little League season, the Tigers played40 games.

2 They won18 more gamesthan they lost. How many games did they win that season?14)A)31 gamesB)26 gamesC)29 gamesD)11 games15)The perimeter of a triangle is75 cm. The triangle is isosceles now, but if its base were lengthened by2 cm and each leg were shortened by7 cm, it would be equilateral. Find the length of the base ofthe original )A)21 cmB)18 cmC)19 cmD)28 cm16)A sum of money amounting to $ consists of dimes and quarters. If there are19 coins in all, howmany are quarters?16)A)12 quartersB)9 quartersC)7 quartersD)17 quarters17)A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with7% cementshould he mix with4 bags of17% cement to produce a mix containing11% cement?17)A)8 bagsB)10 bagsC)6 bagsD)15 bags18)How many liters (L) of a10% alcohol solution must be mixed with50 L of a90% solution to get a50% solution?

3 18)A)5 LB)10 LC)100 LD)50 L519)How many liters (L) of a 10% silver iodide solution must be mixed with9 L of a 4% silver iodidesolution to get a 6% solution?19)A) LB) LC) LD) L20)The speed of a stream is6 mph. If a boat travels88 miles downstream in the same time that it takesto travel44 miles upstream, what is the speed of the boat in still water?20)A)12 mphB)18 mphC)20 mphD)21 mph6