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Systems of Equations Quiz
By Lori Grow
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Last updated over 5 years ago
19 questions
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Question 1
1.
Question 2
2.
Question 3
3.
Solve by graphing. (Type your equations in.)
x + y = 3
2x - y = 0
Give your solution in the "show your work" space provided.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
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Question 4
4.
Question 5
5.
Question 6
6.
Solve this system using elimination. SHOW YOUR WORK in the space provided.
Enter your answer as a point (x, y), NS, or IS.
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Question 7
7.
Solve the system of equations. SHOW YOUR WORK.
Enter your answer as a point (x, y, z), NS, or IS.
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Question 8
8.
Find the determinant.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Multiply the following matrices. Give your solution in the "show your work" space.
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Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
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Question 18
18.
Solve this system using substitution.
SHOW YOUR WORK in the space provided.
Enter your answer as a point (x, y), NS, or IS.
-2x + y = 6
-6x + 3y = -3
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Question 19
19.
If a system of equations has no solution, what does the graph look like?
same lines
intersecting lines
parallel lines
all of the above
none of the above
When using substitution to solve this system of equations, what is the result of the first step?
x = 6y + 3
x + 2y = 5
x +2(6y +3) = 5
6x + 3 + 2y = 5
x + 2(6x + 3) = 5
6y + 3 + 2y = 5
Julie is asked to solve the system below by elimination. Which of the following would be the best way to begin?
Multiply Equation #2 by 2 and multiply Equation #1 by -2
Multiply Equation #1 by 2 and multiply Equation #2 by 3
Multiply Equation #2 by 2
Multiply Equation #1 by 2
Which system has exactly one solution?
6x + 3y = - 1 and 2x + y = 4
y = 4x - 5 and y = -1/4 x - 5
y + 4x = - 2 and y = - 4x + 5
3x - y = 2 and y - 4 = 3(x - 2)
Find the determinant.
37
27
-37
-27
What are the dimensions of the following matrix?
3 x 3
3 x 2
2 x 3
2 x 2
Using the following matrices, select which matrix multiplication operations ARE POSSIBLE (you may select more than one answer):
[B] x [A]
[A] x [C]
[A] x [B]
none
[D] x [E]
[F] x [A]
[D] x [F]
Multiply the following two matrices:
not possible
Choose the system of equations that corresponds to the matrix equation.
x = -3, y = -2, z = 0, u = 1
x = 3, y = 2, z = 0, u = -1
x = 5, y = 2, z = 0, u = 1
x = 4, y = 6, z = -4, u = -1
Write the system of equations represented by the graph.
Move the first column to the correct match.
System C matches with
Graph 2
System A matches with
Graph 3
System B matches with
Graph 1
[-9 -1]
[-10 0]
[-2 -2]
[-7 4]