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Solving Quadratic Equations by Factoring

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

What is the first step in solving this quadratic equation? x2+5x=6x^2+5x=6  

a)

Factor

b)

Subtract 6 from both sides to set the equation equal to 0

c)

Set each factor equal to 0

d)

Combine like terms

2.

What are the 2 characteristics we look for when trying to solve a quadratic equation?

a)

A positive coefficient for x2x^2 & the equation set equal to 0.

b)

Factor and cancel

c)

Distribute and combine like terms

d)

There is no such thing as a quadratic equation

3.

Solve the following quadratic equation: x2−6x−7=0x^2-6x-7=0  

a)

 x=7   &   x=−1x=7\ \ \ \&\ \ \ x=-1  

b)

 x=1   &   x=−7x=1\ \ \ \&\ \ \ x=-7  

c)

 x=0x=0  

d)

 x=−75x=\frac{-7}{5}  

4.

Solve the following quadratic equation: x2+25=10xx^2+25=10x  

a)

 x=−5x=-5  

b)

 x=5x=5  

c)

 x=0x=0  

5.

Solve the following quadratic equation: 4x2−9=04x^2-9=0  

a)

 x=32x=\frac{3}{2}  &  x=−32x=-\frac{3}{2}  

b)

 x=23x=\frac{2}{3}  & x=−23x=\frac{-2}{3}  

c)

 x=94x=\frac{9}{4}  

d)

 x=49x=\frac{4}{9}  

6.

Solve the following quadratic equation: 5x2=10x5x^2=10x  

a)

 x=−2x=-2  

b)

 x=2x=2  

c)

 x=2x=2  & x=0x=0  

d)

 x=−2x=-2  & x=0x=0  

7.

Solve the following quadratic equation:
Solve the following quadratic equation: 2x2−5x+2=02x^2-5x+2=0  

a)

 x=−12x=\frac{-1}{2}  & x=−2x=-2  

b)

 x=−1x=-1  & x=−4x=-4  

c)

 x=4x=4  & x=1x=1  

d)

 x=12 & x=2x=\frac{1}{2}\ \&\ x=2  

8.

Solve the following quadratic equation: x2−13x−30=0x^2-13x-30=0  

a)

 x=3   &   x=10x=3\ \ \ \&\ \ \ x=10  

b)

 x=−3   &   x=−10x=-3\ \ \ \&\ \ \ x=-10  

c)

 x=−2   &   x=15x=-2\ \ \ \&\ \ \ x=15 

d)

 x=2   &   x=−15x=2\ \ \ \&\ \ \ x=-15  

9.

Solve the following quadratic equation:
 x2+5x=6x^2+5x=6  

a)

 x=2   &   x=3x=2\ \ \ \&\ \ \ x=3  

b)

 x =−1   &   x=6x\ =-1\ \ \ \&\ \ \ x=6  

c)

 x=1   &   x=−6x=1\ \ \ \&\ \ \ x=-6  

d)

 x=−2   &   x=−3x=-2\ \ \ \&\ \ \ x=-3  

10.

Solve the following quadratic equation:
 x2=49x^2=49  

a)

 x=0x=0  

b)

 x=7x=7  

c)

 x=−7x=-7  

d)

 x=7   &   x=−7x=7\ \ \ \&\ \ \ x=-7