System of Equation Review Test

Solve the system of equations.

-4x+2y-z=17

x-3y+2z=-16

2x+y-4z=4

• (2, -4, 1)

• (-2, -4, 1)

• (-2, 4, -1)

• (2, 4, -1)

Solve the system of equations.

4x-3y=-22

-2x-5y=-28

• (-1, -6)

• (-1, 6)

• (1, -6)

• (1, 6)

Katie bought 4 apples and 6 pears for $9.80. Sylvia bought 3 apples and 9 pears for $10.95. Write a set of linear equations for this situation.

• x= pear

  y= apple

  4x+6y=9.80

  3x+9y=10.95

• x= apple

  y= pears

  6x+4y=9.80

  3x+9y=10.95

• x= apple

  y= pears

  3x+6y=9.80

  3x+9y=10.95

• x= apple

  y= pears

  4x+6y=9.80

  3x+9y=10.95

Katie bought 4 apples and 6 pears for $9.80. Sylvia bought 3 apples and 9 pears for $10.95. Determine the cost of one apple and one pear.

x= apple

y= pears

4x+6y=9.80

3x+9y=10.95

• (1.25, .8)

• (1, .8)

• (.8,1.2)

• (1,2)

Solve the system of equations below using technology with matrices. (Hint: first get the equations into standard form: Ax+By+Cz=D )

4y=10z

-2x=8y-4

-6x-4y=-10z-24

• x1 = 4

  x2 = -1

  x3 = -1

• x = 4

  y = -2

  z = -5

• x = 4

  y = -1/2

  z = -1/5

• x = 4

  y = 0

  z = 0

Use an inverse matrix to solve the system of equations, if possible.

-4x-2y=-14

-8x-4y=4

• (-1, 1)

• No solution

• (1, -2)

• (2, 3)

The produce manager at 7-Eleven must order at least 200 pounds of apples and bananas each week to keep up with customer demand. 7-Eleven’s maximum budget for apples and bananas is at most $180. If the wholesale cost of apples is $0.90 per pound and the wholesale cost of bananas is $0.70 per pound, write a system of inequalities and sketch a graph showing the possible solution region for the number of apples and bananas the produce manager can order per week.

• x= apples

  y= bananas

  x+y ≥ 200

  .70x+.90y<180

• x= apples

  y= bananas

  x+y= 200

  .70x+.90y<180

• x= apples

  y= bananas

  x + y ≥ 200

  .70x + .90y ≤ 180

• x= apples

  y= bananas

  x+y>200

  .70x+.90y<180

Which system of equations is the correct "set up" for the word problem below: "Seven people went to the movies. The number of adults(X) was one more than the number of children(y).

• x + y = 7

  y = x - 1

• x + y = 7

  y = x + 1

• x + y = 7

  x = y - 1

• x + y = 7

  x = y + 1

Solve using elimination.

4x + 8y = 20

16x - 8y = 120

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Which is the correct system of equations for the word problem shown below: 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