Question 1 (Multiple Choice Worth 1 points)
(05.02)
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
4x - 2y = 6
2x + y = 5
-4x - 2y = 10
-4y = 4
-4x - 5y = -1
-7y = 5
3x + 2y = 6
7x = 12
4x + 2y = 10
8x = 16
Question 2 (Multiple Choice Worth 1 points)
(05.02)
Solve the system of equations by substitution. What is the solution for x?
2x + y = 1
4x + 2y = -2
x = 0
x = 2
There is no x value as there is no solution.
x can be any value as there is an infinite number of solutions.
Question 3 (Multiple Choice Worth 1 points)
(05.02)
Solve the following system of equations:
-2x + y = 1
-4x + y = -1
(3, 1)
(-1, 3)
(-1, -3)
(1, 3)
Question 4 (Multiple Choice Worth 1 points)
(05.02)
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system?
The solution is (1, 3)
The solution is x = 1 and y = 3
There is no solution
There are infinitely many solutions
Question 5 (Multiple Choice Worth 2 points)
(05.02)
A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. How many memberships sold were regular memberships?
125
140
235
295
Question 6 (Multiple Choice Worth 1 points)
(05.02)
Solve the system of equations.
2x - 5y = 3
x - 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Question 7 (Multiple Choice Worth 1 points)
(05.02)
Solve the following system of equations:
-2x + y = 1
-4x + y = -1
(3, 1)
(-1, 3)
(-1, -3)
(1, 3)
Question 8 (Multiple Choice Worth 2 points)
(05.02)
Determine which system below will produce infinitely many solutions.
-4x + 6y = 20
4x - 3y = -2
-2x + 4y = 18
4x - 8y = -36
3x - 2y = 5
-6x - 4y = -10
5x - 3y = 12
15x - 9y = 24