Graphing_Quiz / Mathematics
Solving Systems by Graphing Quiz
1. Look at the graph below. How many solutions does this system of linear equations have?
a. No Solution
b. One Solution
c. Two Solutions
d. Infinite Solutions
2. Look at the graph below. How many solutions does this system of linear equations have?
a. No Solution
b. One Solution
c. Two Solutions
d. Infinite Solutions
3. The graphs of y = x + 4 and y = -2x + 1 are shown. What is the solution to the system?
a. (-4, 0)
b. (-1, 3)
c. (0, 1)
d. (0, 4)
4. If a system of equations has the unique solution (2, -3), then its graph consists of what?
a. Parallel lines
b. Lines that intersect at a single point (2, -3)
c. Identical lines
d. A y-intercept of 3
5. Determine the number of solutions the following system of equations will have.
a. One solution
b. No solutions
c. Infinite solutions
d. Impossible to determine
6. Consider the following system of linear equations.
y = -3x + 2
y = 4x + 2
Since the two lines both have the same y-intercept, (0, 2), then which of the following statements is true?
a. There are no solutions to the system of equations.
b. There is at least one solution to the system of equations.
7. What is the x-coordinate of the point of intersection of the two lines?
y = -2x + 11
y = x – 4
a. 5
b. 1
c. -1
d. -5
8. The ordered pair is a solution of the given system.
a. True
b. False