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Factorable Quadratic Equation Practice
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Practice Page
Directions: Answer these questions pertaining to factorable quadratic equations.
Choose the best answer.
1.
Solve for x:   x2 - 14x + 48 = 0

factor2
       Choose:
 
x = -6; x = -8
x = -6; x = 8
  x = 6; x = -8 x = 6; x = 8



2.
Factor the equation:  3x2 - 17x + 10 = 0

Choose:
(3x - 2)(x - 5) = 0
(3x - 2)(x + 5) = 0
(3x - 5)(x - 2) = 0 (3x + 2)(x - 5) = 0
factorp1



3.
Solve for a:  9a2 = 144

factorp3
       Choose:
 
a = 4 only
a = 4; a = 4 (repeated)
 
a = -4 only
a = 4; a = -4



4.
Solve for m:   9m2 - 30m + 25 = 0

factorp4
       Choose:
 
m = {5/3}
m = {-5/3}
 
m = {± 5/3}
m = {± 3/5}



5.
Solve for x:   8x2 - 12 = -20x
factorp5
       Choose:
 
x = -½, 3
x = ½, -3
 
x = 2, 3
x = -2, 3



6.
Which of the following choices is a quadratic equation whose roots are -3 and 5?

Choose:
x2 + 2x - 15 = 0
x2 - 2x - 15 = 0
x2 - 2x + 15 = 0
x2 + 2x + 15 = 0
factorp6



7.
Solve: 3n2 + 6n - 5n - 10 = 0
Use factoring by grouping.

Choose:
n = 2, -5/3
n = 5, -3/2
n = -2, 5/3
n = -5, 3/2
factorp7



8.
Solve for the exact value of x:   4x2 - 25 = 55
factorp8
       Choose:
 
x = ±4.47
x =
  x = ±2.74 x =



9.
Solve for x:   (x + 4)2 - 2 = 7
factorp9
       Choose:
 
x =
x =
  x = -1; x = -7 x = 1; x = 7



10.
Solve for x:   3x2 + 14x + 8 = 0
factorp10
       Choose:
 
x = -2/3; x = -4
x = -2; x = -4
  x = 2/3; x = 4 x = -3/2; x = -4




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