Translating Word Problems
Factoring (a=1)
Factoring (a>1)
Factoring by Grouping (a>1)
Factoring a Difference of Squares
100
The product of six and some number.
What is 6x
100
x^2 +4x+3
What is (x+1)(x+3)
100
3x^2 + 27x + 42
What is 3(x+2)(x+7)
100
x^2 + 5x + 4x + 20
What is (x+4)(x+5)
100
x^2 - 36
What is (x+6)(x-6)
200
The difference of some number squared and seven.
What is x^2 - 7
200
x^2+3x-10
What is (x-2)(x+5)
200
12x^2 + 14x - 40
What is 2(6x-5)(x+2)
200
x^3 + 10x^2 + 5x + 50
What is (x^2+5)(x+10)
200
2x^2 - 18
What is 2(x+3)(x-3)
300
The quotient of some number minus 10 and some other number
What is (x-10)/y
300
x^2 - 17x + 30
What is (x-15)(x-2)
300
3x^3 + 5x^2 - 28
What is x(x+4)(3x-7)
300
6x^2 + 5x + 6x + 5
What is (6x+5)(x+1)
300
49x^2 - 25y^2
What is (7x+5y)(7x-5y)
400
The sum of a number and 9 is multiplied by -2 and the answer is -8
What is -2(x+9)=-8
400
x^3 - 15x^2 - 100x
What is x(x-20)(x+5)
400
20x^2 - 58 + 11
What is non-factorable
400
3x^2 - 4x + 12x + 16
What is (3x-4)(x+4)
400
2rx^4 - 72ry^4
What is 2r(x^2+6y^2)(x^2-6y^2)
500
On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138.
What is 42+2x=138
500
x^2 + 9x + 24
What is non-factorable
500
45x^2 - 207x + 216
What is 9(5x-8)(x-3)
500
15x^2 + 9x + 10x + 6
What is (5x+3)(3x+2)
500
125m^4 - 20n^4
What is 5(5m^2+2n^2)(5m^2-2n^2)
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