Unit 8 Review

3. What can you conclude from the graph of the equations shown below?

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4. Which is the solution to the system of equations?

• A. (-1, -6)
• B. (3, -13)
• C. (4, -11)
• D. (-3, -4)

1. Mateo plans to solve the system below using elimination. Which is a reasonable first step Mateo could take?

• A. Multiply the 2nd equation by 3
• B. Multiply the 2nd equation by -3
• C. Multiply the 1st equation by -3
• D. Any of the above

6. Solve the system of equations.

• A. (12, 6)
• B. (14, 2)
• C. (30, 4)
• D. (4, 30)

2. Which of the following is true about the solution to the system of equations below?

• A. The system has no solution.
• B. The system has infinitely many solutions.
• C. The system has one solution.
• D. None of the above.

5. Which system of equations would have no solution?

• A. x + y = 4 and y = -x + 4
• B. y = 3x + 2 and y = -3x – 2
• C. 2x + y = 10 and y = -2x + 10
• D. 3x + y = 8 and 3x + y = 9

7. Which of the following statements is NOT true about the graph of a system of equations with infinitely many solutions?

• A. The lines will have the same slope.
• B. The lines will have the same y-intercept.
• C. The lines will have one positive y-intercept and one negative y-intercept.
• D. The lines will share all of the same points.

8. Which is a true statement about the system of equations graphed below?

• A. The system of equations does not have a solution because the lines do not intersect.
• B. The system of equations has one solution, although it is not visible on the graph.
• C. The system of equations has an infinite number of solutions.
• D. None of the statements above are true.

9. Jane is observing the system of equations below and thinks it will have exactly one solution. Is she correct? Why or why not?

• A. No; the slopes are the same, but the y-intercepts are different, so there would be no solution to the system of equations.
• B. No; the slopes are the same and the y-intercepts are different, so there are infinite solutions.
• C. Yes; the slopes are the same, so they will intersect and have one solution.
• D. Yes; the y-intercepts are different, so they will intersect and have one solution.

10. At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?

• A. 3x + 4y = 7.25
• B. 4x + 3y = 7.25
• C. 3x – 4y = 7.25
• D. (3 + 4)x = 7.25