Review Solving Systems with Matrices

Solve:
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4

• (4, 0, -2)
• (-4, 0, -2)
• Many Solutions
• I did not get any of the answers above so I am assuming none of the above.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

• 10 adults, 11 children
• 12 adults , 9 children
• 11 adults, 10 children
• 9 adults, 12 children

Tags

CCSS.7.EE.B.3

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. 

• 35 nachos, 52 sodas
• 18 nachos, 69 sodas
• 52 nachos, 35 sodas
• 61 nachos, 26 sodas

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn? 

• 40 nickels, 40 dimes
• 52 nickels, 28 dimes
• 28 nickels, 52 dimes
• 30 nickels, 50 dimes

Tags

CCSS.7.EE.B.3

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how many of each kind of dinner was purchased?

• 3 chicken, 3 steak
• 5 chicken, 1 steak
• 1 chicken, 5 steak
• 4 chicken, 2 steak

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

• nickels is 20

  dimes is 3

  quarters is 2

• nickels is 3

  dimes is 5

  quarters is 17

• nickels is 13

  dimes is 10

  quarters is 2

• nickels is 12

  dimes is 10

  quarters is 3

Tags

CCSS.7.EE.B.3

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91
• x + y = 91
  14.80x + 17y = 6
• x + y = 6
  14.80y + 17x = 91
• x + y = 91
  14.80x+ 17y = 6

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

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578
  x + y = 3365
• 4x + 7y = 3365
  x + y = 578
• 4y + 7x = 578
  x + y = 3365
• 4y + 7x = 3365
  x + y = 578

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120