Midterm Review Day 3 Algebra 1

What is the solution to the system of equations shown below?

• (1, 3)

• (3, -1)

• (3, 1)

• (-1, 3)

1. What is the value of y in the solution to the system of equations shown above?

• (-4, 0)

• (4, 0)

• (0, 4)

• (0, -4)

Sam has $8.15 in nickels and dimes. He has 5 times as many nickels as dimes. Which system of equations can be used to find n, the number of nickels, and d, the number of dimes, that Mark has?

• $n=5d$
  $0.05n+0.10d=8.15$
  

• $d=5n$
  $0.10n+0.05d=8.15$
  

• $d=n+5$
  $0.05n+0.10d=8.15$
  

• $n+d=5$
  $0.05n+0.10d=8.15$
  

A science test contains 40 questions. Some of the questions are worth 4 points each, and some are worth 2 points each. The total test is worth 100 points. Which system of equations can be used to find x, the number of questions worth 4 points, and y, the number of questions worth 2 points?

• 4x + 2y = 40

  x + y = 100

• 4x - 2y = 100

  x + y = 40

• 4x - 2y = 100

  x - y = 40

• 4x + 2y = 100

  x + y = 40

The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold, the theater collected $1304. Write two equations that would be used to solve the system.

• 4a + 8c = 1304

  a + c = 200

• 8a + 4c = 1304

  a + c = 200

• 8a + 4c = 200

  a + c = 1304

• 4a + 8c = 200

  a + c = 1304

The Spurs have played 28 games this season. They have won three times as many games as they have lost. Write two equations that would be used to solve the system.

• W - L = 28

  W = 3L

• W + L = 28

  W = 3L

• W + L = 28

  L = 3W

• W - L = 28

  L = 3W

Eric has some quarters and nickels in his pocket. He has 8 more nickels than quarters. The total value is $3.70. Write two equations that could be used to solve the system.

• q = n + 8

  .50n + .25q = 3.70

• q = n + 8

  .05n + .25q = 3.70

• n = q + 8

  .50n + .25q = 3.70

• n = q + 8

  .05n + .25q = 3.70

A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of 52 cupcakes and cookies. How many cookies were sold?

• 24

• 16

• 36

• 8

The perimeter of a rectangular wooden deck is 80 feet. The deck’s length, l, is 4 feet less than 2 times its width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?

• 2L + 2W = 80

  L = 2W - 4

• 2L + 2W = 80

  L = 4 - 2W

• 2L + 2W = 80

  L = 4W - 2

• 2L + 2W = 80

  L = 2 - 4W

A college student needs 15 classes that are worth a total of 60 credits in order to complete her degree. The college offers both 5-credit classes and 4-credit classes. Write a system of equations that can be used to determine f, the number of 5-credit classes the student can take to complete her degree, and h, the number of 4-credit classes?

• f + h = 60

  5f + 4h = 15

• f - h = 15

  5f - 4h = 60

• f + h = 15

  5f - 4h = 60

• f + h = 15

  5f + 4h = 60