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Solving Quadratic Equations by Factorising 2 worksheet

Name:                                    Date:
Solve the following quadratic equations:

Question 1:     k^2 - 49=0Question 2:     3y^2 -14y - 5=0
Question 3:     36u^2 - 9=0Question 4:     25n^2 - 16=0
Question 5:     7h^2 + 78h + 11=0Question 6:     14t^2 - 35t=0
Question 7:     3a^2 + 16a + 5=0Question 8:     3m^2 - 34m + 11=0
Question 9:     2z^2 -13z - 7=0Question 10:     2j^2 - 15j + 7=0
Question 11:     3r^2 +32r - 11=0Question 12:     7g^2 -76g - 11=0
Question 13:     7d^2 - 9d + 2=0Question 14:     11w^2 -21w - 2=0
Question 15:     63b^2 + 18b=0Question 16:     5e^2 - 26e + 5=0
Question 17:     24p^2 - 56p=0Question 18:     5s^2 +34s - 7=0
Question 19:     11q^2 - 34q + 3=0Question 20:     4c^2 - 64=0
Question 21:     33f^2 + 9f=0Question 22:     11v^2 + 18v + 7=0

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Answers

Question 1:     (k+7)(k-7)=0
\implies k=-7 , k=7
Question 2:     (y-5)(3y+1)=0
\implies y=5 , y=-{\Large\frac{1}{3}}
Question 3:     (6u+3)(6u-3)=0
\implies u=-{\Large\frac{1}{2}} , u={\Large\frac{1}{2}}
Question 4:     (5n+4)(5n-4)=0
\implies n=-{\Large\frac{4}{5}} , n={\Large\frac{4}{5}}
Question 5:     (h+11)(7h+1)=0
\implies h=-11 , h=-{\Large\frac{1}{7}}
Question 6:     7t(2t-5)=0
\implies t=0 , t={\Large\frac{5}{2}}
Question 7:     (3a+1)(a+5)=0
\implies a=-{\Large\frac{1}{3}} , a=-5
Question 8:     (m-11)(3m-1)=0
\implies m=11 , m={\Large\frac{1}{3}}
Question 9:     (2z+1)(z-7)=0
\implies z=-{\Large\frac{1}{2}} , z=7
Question 10:     (j-7)(2j-1)=0
\implies j=7 , j={\Large\frac{1}{2}}
Question 11:     (r+11)(3r-1)=0
\implies r=-11 , r={\Large\frac{1}{3}}
Question 12:     (g-11)(7g+1)=0
\implies g=11 , g=-{\Large\frac{1}{7}}
Question 13:     (d-1)(7d-2)=0
\implies d=1 , d={\Large\frac{2}{7}}
Question 14:     (11w+1)(w-2)=0
\implies w=-{\Large\frac{1}{11}} , w=2
Question 15:     9b(7b+2)=0
\implies b=0 , b=-{\Large\frac{2}{7}}
Question 16:     (5e-1)(e-5)=0
\implies e={\Large\frac{1}{5}} , e=5
Question 17:     8p(3p-7)=0
\implies p=0 , p={\Large\frac{7}{3}}
Question 18:     (5s-1)(s+7)=0
\implies s={\Large\frac{1}{5}} , s=-7
Question 19:     (q-3)(11q-1)=0
\implies q=3 , q={\Large\frac{1}{11}}
Question 20:     (2c+8)(2c-8)=0
\implies c=-4 , c=4
Question 21:     3f(11f+3)=0
\implies f=0 , f=-{\Large\frac{3}{11}}
Question 22:     (11v+7)(v+1)=0
\implies v=-{\Large\frac{7}{11}} , v=-1
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