Systems of Equations and Inequalities Practice Test

Review the following concepts if needed:

• Systems of Equations Help
• Applications of Systems of Equations Help
• Systems of Inequalities Help
• Graphical Solution to System of Equations Help

Systems of Equations and Inequalities Practice Test

Directions: In some of the following problems, you will be asked to find quantities such as x + 2 y for a system of equations. Solve the system and put the solution in the formula. For example, if the solution is x = 3 and y = 5, then x + 2 y becomes 3 + 2(5) = 13.

Practice

1.  Find x + 2 y for the system.

   

   (a) −2

   (b) −1

   (c) 1

   (d) 2

2. Find x + 2 y for the system.

   

   (a) 8

   (b) 9

   (c) 10

   (d) 11

3. Find x + y for the system.

   

   (a) 4

   (b) 5

   (c) 6

   (d) 7

4. Find x + y for the system.

   

   (a) 2 and 14

   (b) 3 and 12

   (c) 4 and 20

   (d) 5 and 15

5. The graph in Figure 10.43 is the graph of which inequality?

   Fig. 10.43

   (a) y > 2 x + 2

   (b) y ≥ 2 x + 2

   (c) y ≤ 2 x + 2

   (d) y < 2 x + 2

6. The graph in Figure 10.44 is the graph of which inequality?

   Fig. 10.44

   (a) y > x ² − 2 x + 1

   (b) y ≥ x ² − 2 x + 1

   (c) y ≤ x ² − 2 x + 1

   (d) y < x ² − 2 x + 1

7. The graph in Figure 10.45 is the graph for which system?

   Fig. 10.45

   

    

8. The graph in Figure 10.46 is the graph of which system?

   Fig. 10.46

   

Solutions

1. A
2. B
3. C
4. C
5. D
6. B
7. B
8. D