Definitions
Name one variable in this equation:
6x+2y+8z = 500
x, y, or z
x + x=
2x
6z-4z=
2z
4x * 6x=
24x^2
12x^3 : 2x^2 =
6x
Name one member in this equation
14y^2 - 3x = 4 +x
14y^2 - 3x
OR
4 +x
6x^2 + 18x^2 =
24x^2
10t^2 - 2t^2 - 6=
8t^2 - 6
(2y+2x) * 7=
14y+14x
Remove the common factor:
3x^4 + 6x^3 - 33x
3x(x^3 + 2x^2 - 11)
Name one term and one independent term in this equation
14y^2 - 3x = 4 + x
Terms: 14y^2, 3x , 4, x
Independent term: 4
6y + 18z + 1,000y =
1,006y + 18z
24y^3 - 6y^3 - 4x - 6x - 2=
18y^2 - 10x -2
2b * (-3ab^2) + 7ab^5=
-6ab^3 +7ab^5
18x^5 - 9x^4 + 6x^3) : (3x^2) =
6x^3 - 3x^2 + 2x
What is the degree of this equation?
18z^2 + 3z^5
This is a fifth (5th) degree equation
-2ab + 6a^2b - 3ab + (-3a^2b) +ab =
9a^2b-4ab
7x^4 - 3b^2 - 8x^4 - b^2 - 2=
-x^4 - 4b^2 -2
(x^2 +6) * (4x^2 + x) =
(x^2 * 4x^2) + (x^2 * x) + (6 * 4x^2) + (6*x)
4x^4 + x^3 + 24x^2 + 6x
Remove the common factor:
22a^2b - 10ab^2 + 4ab
2ab(11a - 5b +2)
13x^3 - 4y + 6x = 3x+ 8z
Label the following parts of the equation:
One Member, one term, one unknown, the degree of the equation
Member: 13x^3 - 4y + 6x OR 3x+ 8z
terms: 13x^3 , 4y , 6x , 3x , 8z
unknowns: x , y , z
degree: third degree equation
-2x^2 + 3x^2 + x^3 + 2x =
x^2 + x^3 +2x
15 - 20x^2 + 2 - 4x^3 - 2x^2=
-4x^3 - 22x^2 +13
(-5z^6 +3z) * (8z^3-6z^3) =
(-5z^6 +3z) * 2z^3
(-5z^6 * 2z^3) + (3z * 2z^3)
-10z^9 + 6z^4
{ BONUS: -2z^4(5z^5-3) }
(6y^2 + 7y^4 - y^4) : (2y^4 +4y^4) =
(6y^2 + 6 y^4) : (6y^4)
6y^2 (1 + y^2) / 6y^4
y^2 * (1+y^2) / y^4
(1 + y^2) / y^2