Unit 6: Systems of Equations

Multiple Choice

1. What is the solution to the system of equations graphed on the left?

• A. (3, -1)

• B. (-1, 3)

• C. (4.5, 2.5)

• D. (-3, 2.5)

Multiple Choice

2. Which graph shows the solution to the system of equations?

Multiple Choice

3. What is the solution to the system of equations?

• A. (-4, 9)

• B. (4, -7)

• C. (4, 9)

• D. (9, -4)

Multiple Choice

4. Which graph shows the solution to the system of equations?

Multiple Choice

5. Which step could be completed in order to prepare the system of equations below for the elimination method?

• A. Multiply the 1st equation by -2.

• B. Multiply the 2nd equation by 2.

• C. Multiply the 1st equation by 2

• D. Multiply the 2nd equation by -2

Multiple Choice

6. What is the solution to the system of equations?

• A. (0, 1)

• B. (1, 0)

• C. (-2, 1)

• D. (-2, −47)

Multiple Choice

7. What is the best estimate of the solution to the system of equations graphed?

• A. (-2.3, 1.8)

• B. (-1.8, 1)

• C. (-1.8, 1.8)

• D. (-2.8, 1.8)

Multiple Choice

8. In a barn there are 17 animals. Some are cows and some are ducks. There are 54 legs in all. Which system of equations below could be used to find how many cows and how many ducks are in the barn?

Multiple Choice

9. The sum of two numbers is 3. Their difference is 13. What are the two numbers?

• A. 8 and 5

• B. 8 and -5

• C. 1 and 2

• D. 20 and 7

Multiple Choice

10. Which statement is true of the system of equations shown below?

• A. The system of equations has one solution: (0, 4)

• B. The system of equations has one solution: (4, 0)

• C. The system of equations has infinite solutions

• D. The system of equations has no solutions

Multiple Choice

11. Which system of equations would have infinite solutions?

Multiple Choice

12. What is the solution to the system of equations shown?

• A. (2.5, -5)

• B. (7.5, -5)

• C. (-5, 20)

• D. (-5, 0)