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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
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