Solving Systems by Graphing

Name:

Class:

Date:

Show your work for each problem.

1.
What does the solution of a system of equations represent on a graph?
1. a)The point where one line crosses the x-axis
2. b)The y-intercept of the first line
3. c)The slope of the lines
4. d)The point where both lines intersect
2.
If two lines are parallel, how many solutions does the system have?
1. a)No solution
2. b)Infinitely many solutions
3. c)One solution
4. d)Two solutions
3.
The lines and intersect at point . What is the y-coordinate?
4.
Find the x-coordinate where and intersect.
5.
Which system has infinitely many solutions?
1. a) and
2. b) and
3. c) and
4. d) and
6.
Solve the system by graphing:
7.
The system and has how many solutions? (Enter 0, 1, or infinity)
8.
Solve the system:
9.
A company's costs are and revenue is . At what quantity do they break even?
1. a)50
2. b)25
3. c)10
4. d)20
10.
Car A starts at position 20 km and travels at 60 km/h (). Car B starts at position 0 and travels at 80 km/h (). When do they meet?
11.
Find the x-coordinate of the solution: and
12.
Supply: . Demand: . Find the equilibrium price (y-value).
13.
Which statement is TRUE about the system and ?
1. a)The system has exactly one solution
2. b)The system has no solution
3. c)The system has infinitely many solutions
4. d)The system has exactly two solutions
14.
Two lines with slopes and but different y-intercepts will have how many solutions?
15.
Verify that is the solution of the system: