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Common Factor
a = plus or minus 1
a not equal to one
perfect square
difference of two squares
100
Factor: 6n
2
+9n
3n(2n+3)
100
Factor into two binomials- 2x
2
+7x+3
(2x+1)(x+3)
100
Find the GCF- 3x
2
, 12x
3x
100
Factor by GCF- 14n
2
+10n
2n(7n+5)
100
Solve for x: 3x-7=11
x=6
200
Factor: 3a
2
+9
3(a
2
+3)
200
Factor into two binomials- 5n
2
+26n+5
(5n+1)(n+5)
200
Find the GCF- 4x
3
, 10x
2
2x
2
200
Factor by GCF- 18x
3
-6x
6x(3x
2
-1)
200
2x+8=5x-7
x=5
300
Factor into two binomials- 5t
2
-5t-10
5(t+1)(t-2)
300
Factor into two binomials- 3x
2
-10x+7
(3x-7)(x-1)
300
Find the GCF- 2x
5
, 9x
4
x
4
300
Factor by GCF- 8-4a
2
4(2-a
2
)
300
Solve the system of equations by using substitution. 3y+2x=32, x=7
y=6
400
Factor 25b
2
-20b
5b(5b-4)
400
Factor into two binomials- 7x
2
-36x+5
(7x-1)(x-5)
400
Find the GCF- 18x
3
, 32x
2
+6x
2x
400
Factor by GCF- 4x
4
+16x
3
-8x
2
4x
2
(x
2
+4x-2)
400
What is the slope and y-intercept of the following line? y=5x-2
Slope=5 Y-Intercept=-2
500
Factor into two binomials- 14y
2
+7y-21
7(2y+3)(y-1)
500
Factor into two binomials- 2x
2
-12x+10
(2x-2)(x-5)
500
Find the GCF- 12m
4
n
3
, 6m
3
n
2
, 24m
2
n
4
6m
2
n
2
500
Factor by GCF- 10a
3
b
4
-6a
2
b
6
2a
2
b
4
(5a
3
-3b
2
)
500
Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16
x=5, y=-1