Mental Math
Level 1
Level 2
Level 3
100
(x + 4)(x – 3) = 0
x = −4 x = 3
100
Factor the polynomial.
9x + 45=
9 (x+ 5)
100
Factoring perfect square trinomial.
16x2 + 40x + 25
(4x + 5)2
100
Factoring using combined techniques.
3x(x - 5) -y(x - 5)
(3x - y)(x - 5)
200
(x+5)(x+7)=0
x= -5 x= -7
200
Factor the polynomial.
7x2 - 21x=
7x (x-3)
200
Factoring perfect square trinomials.
36x2 - 132x + 121
(6x - 11)2
200
Factoring using combined techniques.
3(x - 4) + y(4 - x)
- (y - 3)(x - 4)
300
x2 + 5x + 6
(x + 3)(x + 2)
300
Factoring the difference of squares.
9x2 - 1=
(3x + 1)(3x - 1)
300
Factoring polynomials of the form x2 + bx + c.
x2 + 3x + 2
(x + 2) (x + 1)
300
Factoring using combined techniques.
x2 - 4x - 45
(x + 5)(x - 9)
400
3y + 12y
15y
400
Factoring the difference of squares.
3n2 - 75
3(n + 5)(n - 5)
400
Factoring polynomials of the form x2 + bx + c.
x2 + x - 6
(x + 3)(x - 2)
400
Factoring using combined techniques.
x2 + 16x + 60
(x + 6)(x + 10)
500
5a2+ 15a
a = 0 a = −3
5a(a + 3) = 0
5a = 0 or a + 3 = 0
or a + 3 – 3 = 0 – 3
a = 0 or a = −3
500
Factoring by grouping.
12a3 - 9a2 + 4a - 3
(3a2 + 1)( 4a - 3)
500
Factoring the sum or difference of cubes.
x3 + 64
(x + 4)(x2 - 4x + 16)
500
Factoring using combined techniques.
3x2 + 16x + 5
(3x + 1)(x + 5)