Algebra 1 Word Problems with Systems of Equations

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

What is the solution to the system of equations?

• (2, -2)

• (2, 2)

• No Solution

• (-2, -2)

• A
• B
• C
• D

• A

• B

• C

• D

Tags

A-CED.3

A coffee shop sells donuts for $2 and muffins for $3. On a very cold morning, the shop sold 10 more donuts than muffins and made $250. Which system of equations could be used to find the number of donuts, d, and muffins, m, that the shop sold that day?

• A

• B

• C

• D

A total of 600 adult and student tickets were sold for a high school band concert. Adult tickets cost $9, student tickets cost $5 and a total of $4000 was collected.​ (a)   ​ (b)  

• 250 adult tickets were sold

• 350 student tickets were sold

• 250 student tickets were sold

• 350 adult tickets were sold

The tables of ordered pairs represent some points on the graphs of two lines. Which systems of equations is represented by the two lines?

• y = 5x - 7

  4x - y = 4

• y = 5x - 7

  4x + y = 12

• y = 7x - 9

  4x - y = 4

• y = 7x - 9

  4x + y = 12

What is the value of x in the solution to the system of equations?

• 1

• 5/3

• 8/3

• 7/3