Addition/Subtraction
Simplify:
2x^3 + 2x + 4x + 1
2x^3 + 6x + 1
Factor completely:
2x^2 + x
x (2x+1)
Find the product:
-5(-k - 3)
5k + 15
Find the quotient:
(5x + 5) / 5
x + 1
What is the slope of this line?
y=x
1
Simplify:
(2+5v^4) - (1-5v^4)
10v^4 + 1
What is the greatest common factor between 18xy and 12x^2?
6x
Find the product:
3xy (x - 6y^2)
3x^2y - 18xy^3
Find the quotient:
(4y^2 - y) / y
4y - 1
What is the y-intercept of this line?
y=2x+3
3
Simplify:
(2n^2 + 2n^4 - 6n^3) + (-n^2 + 6n +4) - (-6n^2 - 4n^4)
6n^4 - 6n^3 + 7n^2 + 6n + 4
Factor completely:
b^2 + 8b + 16
(b+4)^2
Find the product:
(3n - 5)(-6n -7)
-18n^2 + 9n + 35
Find the quotient:
(x^2 - 4x - 45) / (x + 5)
x - 9
Where does this equation intercept the x-axis?
y=x^2+6x+9
At x=-3 only
Simplify:
7x^3 + 3x(x^2 - x) + x^2
10x^3 - 2x^2
Factor completely:
9x^2 - 121
(3x + 11)(3x - 11)
(4n - 7)(7n^2 - 4n + 7)
28n^3 - 65n^2 + 56n - 49
Find the quotient:
(4x^2 - 16) / (x - 2)
4x + 8
Where does this equation intercept the x-axis?
y=x^2-81
At x=9 and x=-9
(10x^2 + x)/x + (x^2 + 2x + 1)/(x + 1)
11x + 2
Solve the following equation by factoring:
x^2 - 8x + 15 = 0
x = 5
x = 3
Find the product:
(x^3 + 2x +1)(x^3 - 3x^2 + x)
x^6 - 3x^5 + 3x^4 - 5x^3 - x^2 + x
Find the quotient and remainder using long division:
(x^2+5x-30)/(x+8)
Quotient: (x-3)
Remainder: -6/(x+8)
Does this equation intercept the x-axis and if so, where?
y=15x^2-110x+200
Yes, at x=3.33 (also written as 10/3) and x=4