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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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)

Tags

CCSS.8.EE.C.8C

What is the solution to the system of equations?

• (2, -2)

• (2, 2)

• No Solution

• (-2, -2)

Tags

CCSS.8.EE.C.8B

• A
• B
• C
• D

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• 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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8B

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

• 1

• 5/3

• 8/3

• 7/3

Tags

CCSS.HSA.REI.C.9