Common Factor
a = plus or minus 1
a not equal to one
perfect square & difference of two squares
Alg3 Review
100
Factor: 6n2+9n
3n(2n+3)
100
Factor into two binomials- x2+3x+2
(x+1)(x+2)
100
Factor: 2x2+11x+12
(x+4)(2x+3)
100

Factor: x2+2x+1

(x+1)2

100
Solve for x: 3x-7=11
x=6
200
Factor: 3a2+9
3(a2+3)
200
Factor into two binomials- x2+5x+6
(x+2)(x+3)
200
Factor: 4x2-4x -3
(2x-3)(2x+1)
200
Factor: t2-14t+49
(t-7)2
200
2x+8=5x-7
x=5
300
Factor into two binomials- 5t2-5t-10
5(t+1)(t-2)
300
Factor into two binomials- x2+7x+10
(x+2)(x+5)
300
Factor: 2x2+4x+2
(2x+2)(x+1)
300
Factor: k2-18k+81
(k-9)2
300
Solve the system of equations by using substitution. 3y+2x=32, x=7
y=6
400
Factor 25b2-20b
5b(5b-4)
400
Factor into two binomials- x2+10x+16
(x+2)(x+8)
400
Factor: 2m2-11m+15
(m-3)(2m-5)
400
Factor: x2-4
(x-2)(x+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- 14y2+7y-21
7(2y+3)(y-1)
500
Factor into two binomials- y2+15y+36
(y+3)(y+12)
500
Factor: 2x2-19x+24
(x-8)(2x-3)
500
Factor 81y2+49
cannot be factored. This is the sum of squares, not a difference of squares
500
Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16
x=5, y=-1
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