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Systems Of Linear Equations
Test Description: Solving systems of linear equations
Instructions: Answer all questions to get your test result.
1) -3x+y=2 and mx+ny=-6 For what values of m and n would the system have infinite solutions?
A
m=-3, n=-4
B
m=3, n=-1
C
m=9, n=1
D
m=9, n=-3
2) 2x+8y=2 and x+by=c For what values of b and c would the system have NO solution?
A
b=8, c=2
B
b=8, c=-2
C
b=4, c=3
D
b=4, c=1
3) If a-b=7 and 2a+b=-1, then b=
A
-3
B
4
C
-5
D
2
4) 2x-y=-8 and 3x+2y=2. What is the value of x if the following equations are true?
A
-4
B
4
C
10
D
-2
5) y=5x-2 and 10x-2y=8. Tell what kind of solution this system will have.
A
no solution
B
two solutions
C
infinite solution
D
one solution
6) y=2x-1 and 3x+3y=15 What is the solution to this system?
A
(-2, -3)
B
(2, 3)
C
(-3, 2)
D
(3, 2)
7) 15x+3y=9 and 10x+7y=-4. What is the solution to this system?
A
(1, 2)
B
(-1, -2)
C
(-1, 2)
D
(1, -2)
8) -x-5y-5z=2 and 4x-5y+4z=19 and x+5y-z=-20. Solve the system.
A
(-2, -3, 3)
B
(-2, 3, -3)
C
(3, -3, 2)
D
(-3, 3, -2)
9) -6x+5y+2z=-11 and -2x+y+4z=-9 and 4x-5y+5z=-4. Solve the system.
A
(-4, 3, -1)
B
(4, 2, -1)
C
(4, 3, -1)
D
(-4, -2, 1)
10) Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system could be used to find the exact number of dimes and nickels?
A
d+n=80 and 0.05d+0.10n=6.60
B
d+n=6.60 and 0.10d+0.05n=80
C
d+n=80 and d+n=6.60
D
d+n=80 and 0.10d+0.05n=6.60
*select an answer for all questions
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