Writing System of Linear Equations

The Maplewood Symphony Orchestra sold 146 tickets and collected a total of $1036 in ticket sales. Admission was $5 for children and $8 for adults. Write two equations that would be used to solve the system.

• c+a=146

  5c+8a=1036

• c-a=146

  8c+5a=1036

• c+a=1036

  8c+5a=146

• c+a=146

  5c-8a=1026

Tags

CCSS.8.EE.C.8C

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.

• a+c=1304

  8a+4c=200

• a+c=200

  4a+8c=1304

• a+c=200

  8a+4c=1304

• a-c=200

  4a+8c=1304

Tags

CCSS.8.EE.C.8C

The school’s photographer took pictures of couples at this year’s prom. She charged $3.25 for wallet-size pictures and $10.50 for portrait-size pictures. Crystal and Dan bought a total of 10 pictures for $61.50. Write two equations that would be used to solve the system.

• 10.50w+3.25p=10

  w+p=61.50

• 3.25w+10.50p=10

  w+p=61.50

• 10.50w+3.25p=61.50

  w+p=10

• 3.25w+10.50p=61.50

  w+p=10

Tags

CCSS.HSA.CED.A.3

Which graph represents the equation  $y=4x-1$  

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Which line is being represented by the graph?

• y = 3/4 X -3
• y = -3/4x + 4
• y = 3/4x + 4
• y = -3/4 x - 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

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

• .01p + .05n = 35

  p + n = 103

• 1p + 5n = 1.03

  p + n = 35

• .01p + .05n = 1.03

  p + n = 35

• .05p + .01n = 1.03

  p + n = 35

Tags

CCSS.8.EE.C.8C

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

• n+d=17
  .05n+.10d=1.35
• .05n+.10d=17
  n+d=1.35
• .25n+.10d=1.35
  n+d=17

Tags

CCSS.HSA.CED.A.3

The perimeter of a rectangle is forty inches. The length is two inches more than three times the width.

• 2L + 2w = 40

  L = 3w + 2

• 2L + 2w = 40

  w = 3L + 2

• 2L + 2w = 40

  L = 2w + 3

• 2L + 2w = 40

  w = 2L + 3

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Tags

CCSS.8.EE.C.8B