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Chapter 5 PracticeTest Alg. 1CP Name _______________________________ Per. _____ Graph each system of equations. Then determine whether the system has no solution, infinitely many solutions or one solution. If the system has one solution, name it. Write the answer on the answer line below the graph. 1) 3x – 4y = 8 3x – 4y = –16 2) –x + y = 3 2x + 2y = 14 3) 2x – y = 5 4x – 2y = 10 y 10 9 8 7 6 5 4 3 2 1 -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 x -4 -5 -6 -7 -8 -9 -10 1) ___________________ -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 x – 4y = –1 1 2 3 4 5 6 7 8 9 10 2) __________________ 4) Solve the system of equations by SUBSTITUTION. 2x + 2y = 3 10 9 8 7 6 5 4 3 2 1 x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 10 3) _________________ 5) Solve the system of equation by ELIMINATION. 2x – 15y = –10 –4x + 5y = –30 4) ___________ 5) ___________ Solve each system of equations by the method of your choice. 6) x + y = 3 x + 2y = 4 7) –13 = 4x – 3y 5x + 2y = 1 6) ___________ 7) ___________ x Solve each of the following word problems by first writing a system of equations. 8) Charlie is three years younger than twice Alan’s age. Together they are 39 years old. How old is each person? Labels ________________________________________________________ Verbal Model ___________________________________________________ Equation ______________________________________________ Verbal Model ___________________________________________________ Equation ______________________________________________ Solve the system. Answer: _______________________________________________________ 9) Jill has 36 coins, all dimes and nickels, with a total value of $3.15. How many of each coin does she have? Labels ________________________________________________________ _________________________________________________________ Verbal Model ___________________________________________________ Equation ______________________________________________ Verbal Model ___________________________________________________ Equation ______________________________________________ Solve the system. Answer: _______________________________________________________ Ch 5 Practice Test KEY Chapter 5 Practice Test Alg. 1CP 1) 2) 3) 4) 5) 6) 7) 8) 9) no solution (2,5) infinitely many solutions (1,½) (10,2) (2,1) (–1,3) a + c = 39 c = 2a - 3 Charlie is 25 years and Alan is 14 years old. d + n = 36 .10d + .05n = 3.15 Jill has 27 dimes and 9 nickels. Ch 5 Practice Test