Linear Systems Mixed Review

Solve the system of equations: 

• ( 4, 2, -1)

• ( 4, 3, -1)

• None of these

• ( -4, 3, 1)

The ordered triple (1, -2, 3) is the solution for which system of equations?

• 3x + 2y - z = -4,

  2x - 3y - 2z = -2, and

  x - y + 2z = -9

• 3x + 2y - z = -4,

  2x - 3y - 2z = 2, and

  x + y - 2z = 9

• 3x - 2y - z = -4,

  2x - 3y - 2z = 2, and

  x - y + 2z = 9

• 3x + 2y - z = -4,

  2x - 3y - 2z = 2, and

  x - y + 2z = 9

Solve the system of equations: 

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Solve the system of equations using any method. Explain why you chose this method,

• (-0.5, 2)

• (4.5, 8)

• (-.75, -3)

• No Solution

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

• (7,-2,1)

• (13,0,-4)

• (10,-1,11)

• (1,-4,6)

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

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10 x + y = -2

• x = -2  y = 5

• x + y = -2 x - y = -10

• x + y = -10 x - y = -2

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

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