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Solving with GCF only

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Find the GCF of 28 and 21

a)

7

b)

14

c)

21

d)

28

2.

Write in factored form
 20x2−8x20x^2-8x  

a)

 4x(5x−2)4x\left(5x-2\right)  

b)

 4(5x2−2x)4\left(5x^2-2x\right)  

c)

 2x(10x−4)2x\left(10x-4\right)  

d)

 2(10x2−4)2\left(10x^2-4\right)  

3.

Write in factored form (3x−9)(x+5)=0\left(3x-9\right)\left(x+5\right)=0  

a)

 x=9 , x=5x=9\ ,\ x=5  

b)

 x=−9, x=−5x=-9,\ x=-5  

c)

 x=3 , x=−5x=3\ ,\ x=-5  

d)

 x=−3, x=5x=-3,\ x=5  

4.

Solve for x.
 (12x+4)(x−2)\left(12x+4\right)\left(x-2\right)  

a)

 x = 14 or x=2x\ =\ \frac{1}{4}\ or\ x=2  

b)

 x =−13 or x = −2x\ =-\frac{1}{3}\ or\ x\ =\ -2  

c)

 x = 14 or x = 2x\ =\ \frac{1}{4}\ or\ x\ =\ 2  

d)

 x = 2 or x =−13x\ =\ 2\ or\ x\ =-\frac{1}{3}  

5.

Solve for x.
 (16x−8)(x+5)=0\left(16x-8\right)\left(x+5\right)=0  

a)

 x=−12,x=−5x=-\frac{1}{2},x=-5  

b)

 x=12, x=−5x=\frac{1}{2},\ x=-5  

c)

 x=2,x=5x=2,x=5  

d)

 x=−2, x=−5x=-2,\ x=-5  

6.

Solve.
 x2+x=0x^2+x=0  

a)

 x=0, x=1x=0,\ x=1  

b)

 x=0, x=−1x=0,\ x=-1  

c)

 x=0x=0  

d)

 x=1, x=−1x=1,\ x=-1  

7.

Write in factored form.

12x + 20

a)

2(6x + 10)

b)

3(4x + 5)

c)

4(3x + 20)

d)

4(3x + 5)

8.

 x2−xx^2-x  

a)

 (x+1)(x−1)(x+1)(x-1)  

b)

 x(x−x)x(x-x)  

c)

 x(x−1)x(x-1)  

d)

 (x−1)(x−1)(x-1)(x-1)  

9.

 4x2−6x4x^2-6x  

a)

 4x(x−2)4x(x-2)  

b)

 2x(x−3)2x(x-3)  

c)

 x(4x−6)x(4x-6)  

d)

 2x(2x−3)2x(2x-3)  

10.

 24x2−18x=024x^2-18x=0  

Solve

a)

 0,340,\frac{3}{4}  

b)

 0, −340,\ -\frac{3}{4}  

c)

 6, 346,\ \frac{3}{4}  

d)

 6,−346,-\frac{3}{4}