Think you’ve got your head wrapped around Systems of Equations? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. What number should you multiply Row 1 by to use the elimination method in this system of equations:
-3x – 6y = 11
2x + 18y = 6
-3
2
3
11
None of the above
Q. Solve this system of equations using the elimination method:
2x + 5y = 10
-2x + 9y = 18
(2,0)
(2,5)
(-1,6)
(0,2)
None of the above
Q. Using a graphing calculator, find a solution to this system of equations:
y = ln(x2)
y = 6x + 1
(-1.64, -0.44)
(-2,5)
(0, -1.64)
(-0.11, -0.12)
None of the above
Q. What method is easiest for solving this system of equations:
y = -2.1x – 6.9
3x – 10y = 1.9
Elimination
Substitution
Graphical
Approximation
Integration
Q. What does the "solution of a system of equations" mean?
Where two equations intersect
The inverse of the two equations
When two lines are parallel
When you solve for the slope of each equation
None of the above
Q. What method does the Gaussian method for solving systems of equations use?
Substitution
Elimination
Matrices
Inverse relations
None of the above
Q. Solve the following system of equations:
3x + 2y – 2z = 3
3y + 4z = 7
z = 1
(1, 1, 0)
(-1, 1, 0)
(-1, -1, 0)
(-1, -1, 1)
(1, 1, 1)
Q. What shape are you trying to achieve when doing Gaussian elimination?
Square
Rectangle
Triangular
Line
None of the above
Q. Solve this system of equations using Gaussian elimination:
-x + 5y + 2z = 5
2x – y – z = -7
y + z = 1
(0, 1, 3)
(-3, 1, 0)
(2, 0, -1)
(-3, 0, 1)
(-1, 0, -3)
Q. What is the solution to the following system of equations:
2x – 2y – 2z = 6
3x + y – z = 3
-2x + 2y + 2z = 5
(0, 0, 0)
Infinitely many solutions
(-3, 2, 7)
(-2, 0, 2)
No solution