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Solving Quadratics Practice

Total questions: 10

Worksheet time: 36mins

Name
Class
Date
1.
Solve for the values of x:
(x - 3)(x + 6) = 0
a)
{ -3, -6 }
b)
{ 3, -6 }
c)
{ -3, -6 }
d)
{ 3, 6 }
2.

Solve:  2x2x15=02x^2-x-15=0  

a)

 x=52x=-\frac{5}{2}  and  x=3x=3  

b)

 x=52x=\frac{5}{2}  and  x=3x=-3  

c)

 x=52x=\frac{5}{2}  and  x=3x=3  

d)

 x=52x=-\frac{5}{2}  and  x=3x=-3  

3.

Solve:   5x245=05x^2-45=0  

a)

 x=3x=3  

b)

 x=3x=-3  

c)

 x=3x=3  and  x=3x=-3  

d)

 x=0x=0  ,  x=3x=3  , and  x=3x=-3  

4.

Solve:  3x2+7x6=03x^2+7x-6=0 

a)

 x = 3x\ =\ 3  and  x=23x=-\frac{2}{3}  

b)

 x=3x=-3  and  x=23x=\frac{2}{3}  

c)

 x=3x=-3  and  x=23x=-\frac{2}{3}  

d)

 x=3x=3  and  x=23x=\frac{2}{3}  

5.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
6.
Solve
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
7.
Solve:
x2 - 49 = 0
a)
x = -7, x = 7
b)
x = -7
c)
x = 7
d)
x = -7, x = 1
8.
Solve using square roots.
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
9.

Solve:  x2+8=28x^2+8=28  

a)

No solution

b)

 x=±45x=\pm4\sqrt{5}  

c)

 x=±6x=\pm6  

d)

 x=±25x=\pm2\sqrt{5}  

10.

Solve by the Quadratic Formula:

 9u211u+7=09u^2-11u+7=0  

a)

 11±13118\frac{-11\pm\sqrt{131}}{18}  

b)

 11±13118\frac{11\pm\sqrt{131}}{18}  

c)

 11±13118\frac{11\pm\sqrt{131}}{-18}  

d)

 11±i37318\frac{11\pm i\sqrt{373}}{18}