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Algebra 2
Practice Quiz 163

Click the circle next to the correct response.
Be sure to click the OK button to continue.

Click here to see how to use the TI-82 to find solutions to linear systems.

How many solutions does each linear system have?

1.  3x - 4y = 2
     -x + 3y = 1
  one
  none
  infinite		 2.  -x + y = 3
     2x - 2y = -6
one
none
infinite
3.  x + 2y = 3
     -2x - 4y = 3
one
none
infinite
Solve each linear system.
4. 3x - 4y = 2
    -x + 3y = 1
  (1,2)
  (2,1)
  (2,2)		 5. -x + y = 3
    2x - 2y = -6
(1,4)
there are an infinite number of solutions
 there are no solutions
6.  4x - 3y = 2
     5x + 2y = -1
(-14/23,1/23)
(1/23,-14,23)
  (1/23,14/23)		 7.  y = 3x - 6
     x = 5
(9,5)
(5,5)
(5,9)
8.  x + 2y - 3z = 12
     -x - y + z = -4
     2x + 3y - 2z = 10
(10, -2, 3)
(-1, 2, -3)
(1, -2, 3)
9.  Is (4,-2) a solution for the given linear system?
     2x - y = 6
     -x + 3y = 14
maybe
yes
 no		 10.  Find the y-intercept:
     2x + 9y = 36
 y = 18
  y = 36
  y = 4
11.  How can $12,600 be split between two investments if one pays 6% annually and the other 8% annually so the amounts of interest from the two investments are equal?
$7200 , $5400
$3600 , $9000
 $7000 , $5600

 

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