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Solving Linear Systems by Graphing Worksheet
Practice Problems
Solving Linear Systems by Graphing Worksheet
- Page 1
1.
How many solutions does the system of linear inequalities - + 2 ≥ 6 and - 2 ≥ 4 have?
| a. | finite | ||
| b. | 1 | ||
| c. | infinite |
Answer: ()
Correct answer : (4)
2.
Which of the graphs represent the system of equations - 2 + 3 > 6 and + ≤ - 3?
| a. | Graph 3 | ||
| b. | Graph 1 | ||
 | c. | Graph 2 | |
| d. | Graph 4 |
Answer: (c)
Correct answer : (3)
3.
Choose a graph that represents the following system of inequalities.
≥ 0
≥ 0
4 + 6 ≤ 12
| a. | Graph 2 | ||
| b. | Graph 4 | ||
| c. | Graph 1 | |
| d. | Graph 3 |
Answer: (c)
Correct answer : (3)
4.
Which of the following linear systems matches the graph?
| a. | = + 2, = - 3 | ||
| b. | = - - 2, = + 3 | ||
| c. | = - 2, = + 3 | ||
| d. | = - + 2, = - 3 |
Answer: (d)
Correct answer : (4)
5.
Find the number of solutions for the linear system.
- 2 + = - 4
- 10 + 5 = - 20
| a. | exactly one solution | ||
| b. | exactly two solutions | ||
| c. | infinitely many solutions | |
| d. | no solution |
Answer: (c)
Correct answer : (3)
6.
Find the number of solutions for the linear system.
+ = - 4
+ = - 1
| a. | exactly one solution | ||
| b. | no solution | |
| c. | exactly two solutions | ||
| d. | infinitely many solutions |
Answer: (b)
Correct answer : (2)
7.
How many solutions do the systems of linear inequalities - + 2 ≥ 6 and - 2 ≥ 4 have?
| a. | infinite | ||
| b. | finite | |
| c. | 1 |
Answer: (b)
Correct answer : (2)
8.
Which of the graphs represents the system of equations, - 2 + 3 > 6 and + ≤ - 3?
| a. | Graph 4 | ||
| b. | Graph 1 | ||
| c. | Graph 3 | ||
| d. | Graph 2 |
Answer: (d)
Correct answer : (4)
9.
Choose a graph that represents the system of inequalities:
≥ 0
≥ 0
4 + 6 ≤ 12
| a. | Graph 3 | ||
| b. | Graph 4 | ||
| c. | Graph 2 | ||
| d. | Graph 1 |
Answer: (d)
Correct answer : (4)
10.
Find the number of solutions the linear system has by using the graphing method.
+ 4 = 1
+ 4 = -
| a. | No solution | |
| b. | Exactly one solution | ||
| c. | Infinitely many solutions | ||
| d. | Two solutions |
Answer: (a)
Correct answer : (1)