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Summative 4.6: Solving Quadratics by Factoring

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

Solve by Factoring:

n² - 2n = 0

a)

n = 2 and n = 0

b)

n = -2 and n = 0

c)

n = 2

d)

n = 0

2.

Solve by Factoring:

14m2 - 12m = 0

a)

m = 2 and m = 76

b)

m = 2 and m =0

c)

m = 14 and m =12

d)

m = 0 and m = 6/7

3.

Solve by Factoring:

28y2 + 21y = 0

a)

y = 28 and y = 21

b)

y = 0 and y = -3/4

c)

y = 0 and y = 4

d)

y = 3 and y = 4

4.

Solve by Factoring: 

  3x2=9x3x^2=9x  

a)

 x=3x=3  and  x=3x=-3  

b)

 x=3x=3  

c)

 x=0x=0  and  x=9x=9  

d)

 x=0x=0  and  x=3x=3  

5.

Solve by Factoring:
 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  

6.

Solve by Factoring:

x2 + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

7.

Solve by Factoring:

x2 - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

8.

Solve for a by Factoring:

a2 + 2a - 24 = 0

a)

a = -6 and a = 4

b)

a = 6 and a = -4

c)

a = 12 and a = -2

d)

a = 8 and a = -3

9.

Solve by Factoring:

x2 + 15x + 44 = 0

a)

x = -8 and x = 2

b)

x = -7 and x = 5

c)

x = -11 and x = -4

d)

x = -11

10.

Solve the equation by Factoring:

x2 - 6x = -8

a)

x = 2 and x = 4

b)

x = -2 and x = -4

c)

x = -2 and x = 4

d)

x = 2 and x = -4

11.

Solve by Factoring:

3x2 + 7x - 6 = 0

a)

x = 3 and x = -3/2

b)

x = 2/3 and x = -7

c)

x = 3 and x = -2/3

d)

x = -3 and x = 2/3

12.

Solve by Factoring:

2x2 - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

13.

Solve by Factoring:

3x2 + 5x + 2 = 0

a)

x = 2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = -2/3 and x = -1

14.

Solve by Factoring:

4x2 + 11x - 3 = 0

a)

x = -3/4 and x = -1

b)

x = 4 and x = 3

c)

x = 1/4 and x = -3

d)

x = -1/4 and x = 3

15.

Solve by Factoring:

5x2 + 13x + 6 = 0

a)

x = -2 and x = -3/5

b)

x = 2 and x = 3/5

c)

x = -2 and x = 3/5

d)

x = 2 and x = -3/5

16.

Solve by Factoring:

  2x2+x=62x^2+x=6 

a)

 x=6x=6  and  x=52x=\frac{5}{2}  

b)

 x=2x=2  and  x=32x=\frac{3}{2}  

c)

 x=32x=\frac{3}{2}  and  x=2x=-2  

d)

 x=52x=-\frac{5}{2}  and  x=6x=6  

17.

Solve by Factoring:

x2 + 4x + 4 = 0

a)

x = 2

b)

x = -2

c)

x = -4 and x = 1

d)

x = -4 and x = -1

18.

Solve by Factoring:

x2 + 6x + 9 = 0

a)

x = -3

b)

x = -4 and x = -5

c)

x = 3

d)

x = 6

19.

Solve by Factoring: 

 x210x+25=0x^2-10x+25=0  

a)

x = -5

b)

x = 5

c)

x = ± 5

d)

x = 10

20.

Solve by Factoring:

x2 + 8x + 16 = 0

a)

x = -4

b)

x = -4 and x = -3

c)

x = 4

d)

x = 8

21.

Solve by Factoring:

z2 - 18z + 81 = 0

a)

z = 0

b)

z = -9

c)

z= ± 9

d)

z = 9

22.

Solve by Factoring: 

 x249=0x^2-49=0  

a)

x = 7

b)

x = -7

c)

x = ± 7

d)

x = 49

23.

Solve by Factoring:

16a2 - 9 = 0

a)

a = ± 3/4

b)

a = 3/4

c)

a = ± 4/3

d)

a = 4/3

24.

Solve by Factoring:

121x2 - 36 = 0

a)

x = ± 6/11

b)

x = ± 11/6

c)

x = 11/6

d)

x = -6/11

25.

Solve by Factoring:

49x2 = 100

a)

x = ± 7/10

b)

x = ± 10/7

c)

x = 10/7

d)

x = - 10/7