1. Multiple Choice: Choose the best answer for each question.
  1. Beth bought 15 tickets to a movie, where adult tickets cost $6 and senior citizen tickets cost $4. She spent a total of $76. Which system of equations will determine the number of adult tickets, a, and number of senior citizen tickets, s, Beth purchased?

A. a + s = 15B. a + s = 15C. a + s = 15D. a + s = 15

10as = 76 4a + 6s = 76 6a + 4s = 76 a + s = 76

  1. A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues a year. The total number of pages in all issues of the sports magazine for one year is 32 more than the total number of pages in all issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
  1. s = t – 18B. t = s – 18C. s = t – 18 D. t = s – 18

12s = 10t + 32 10t = 12s + 32 10s = 12t + 3212t = 10s + 32

  1. Which of the following best represents a system of equations that has no solution?
  1. What is the value of x in the solution to the system of equations given?

6x + 3y = 33

3x – y = 4

  1. 1B. 5C. 3D. None of these
  1. What is the solution to the system of equations given?

10x – y = 53

y =

  1. Which graph can be used to find the solution to the system of equations given?

2x + y = -4

-3y = 2x + 12

  1. A craft store has 12 identical bags of loose buttons. Each button is perfectly circular with either solid black, b, or solid white, w. Each bag contains 9 more black buttons than white ones. The total number of buttons in all of the bags is 372. The number of buttons of each color in 1 bag can be found by using the following system of equations:

b – w = 9

12(b + w) = 372

Which ordered pair, (b, w), is a reasonable solution for the number of buttons of each color in 1 bag?

  1. (11, 2)B. (20, 11)C. (29, 20)D. (15, 6)
  1. Open-ended: Solve each system of equations with any method.
  1. x = 3y + 39. 5x + 2y = 710. 3x + y = 6

3x – 5y = 13 7x + 6y = -3 x + 4y = -20

  1. Word Problems: Write a system of equations for each word problem AND solve.
  1. A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50 and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs and keychains did the manager purchase?

Equations: Solutions:

  1. The perimeter of a rectangular field is 76 feet. The length is 12 feet longer than the width. What are the dimensions of the field?

Equations: Solutions:

  1. You have a total of 42 coins consisting of dimes and nickels. The total value of the coins is $3.00. How many of each coin do you have?

Equations: Solutions:

  1. Open-ended: Answer each question.
  1. What is the solution to the system represented by the given table?
  1. The graph shows the distance of 2 cars from Dallas over a 4-hour period.

Car A is driving towards Dallas and Car B is traveling away from Dallas.

Based on the graph, how far from Dallas will the 2 cars be when

they are the same distance from the city?