1.2 Solving Systems with Matrices

Solve the system of equations: 

• ( -2, 4, 3)
• ( 2, 1, 6)
• No solution
• None of these

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

Solve the system of equations: 

• ( -2, 3, -3)
• None of these
• ( -2, -3, 3)
• ( -3, 3, -2)

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12

  Child: $8

  Senior: $8

• Adult: $6

  Child: $4

  Senior: $5

• Adult: $7

  Child: $5

  Senior: $4

• None of the above.

Solve the system of equations: 

• ( 5, 1, -4)
• (-5, 3, -1)
• None of these
• ( -1, 5, -4)

Tags

CCSS.HSA.REI.C.6

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)
• (2, 3, 1)
• None of these
• (4, 1, -1)

Tags

CCSS.HSA.REI.C.6

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations: 
 $2x-3y=3z-7$  
 $4z-2x+3y=12$  
 $4y+2z-3x=0$ 

• (2, 4, 5)

• (-2,-4, 5)

• (-2, 4, -4)

• None of these

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300.

If her sales go as usual, she will have to sell ______ small photos to pay for the booth.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Sam has a total of 17 bikes, unicycles, and skateboards. A bike has 2 wheels, a skateboard has 4 wheels, a unicycle has one wheel and she has a total of 42 wheels. There are just as many bikes as unicycles and skateboards together. Which system models this scenario?

• B + U + S = 42

  2B + U + 4S = 17

  B = U + S

• B + U + S = 17

  2B + U + 4S = 42

  B = U + S

• B + U + S = 17

  2B + U + 4S = 42

  B = U*S

Uncle Freddy rented a total of 12 movies and games. A movie rents for $3 and a game rents for $4.50, for a total of $42. There are 3 times as many movies than games. Which system models this scenario?

• 3M + 4.50G = 42

  M + G = 12

  M = 3G

• 3M + 4.50G = 12

  M + G = 42

  3M = G

• M + G = 12

  4.50M + 3G = 42

  3M = G