Algebra
if a=2, b=12, and c=48. Find:
a^2 + c/b
8
What does m and c stand for in the equation y=mx+c
m is the gradient, c is the y-intercept
The basic parabola is shifted 4 units up and 3 units right. What is the new equation?
y=(x-3)^2+4
The point where a graph crosses x=0
y-intercept
Simplify the following
(4x^2)/(18(x-3)^2)xx(15(x-3))/(12x^4)
5/(18x^2(x-3))
Simplify:
(5x(x+3))/(15x)
(x+3)/3
What is the gradient of a linear graph that goes through the points (20,6) and (8,0)
m=1/2
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)
What is the graph of a quadratic called?
Find the value of a so that the line ax-7y=8 is parallel to the line 3y+6x=7
a=-14
What is the simplified form of:
(4+a/2)xx(2/(3a))
(8+a)/(3a)
What is the midpoint between (-1, 5) and (19, -7)?
(9, -1)
Find the solutions to
0=x^2-3x-28
x=-4, x=7
What is the line between the numerator and the denominator called?
Vinculum
Determine the number and type of solutions to the quadratic with equation:
y=3x^2+11x-4
As the discriminant = 169, and sqrt(169)=13 therefore, there are 2 rational solutions
If a = 3, s = 2, and v = 28, Find u:
v=u^2+2as
+-4
Daily Double!
How many points are you willing to risk?
What is the distance between (-3, -2)
and (16, 41)?
Put the following equation into turning point form
4x^2-7x+3
4(x-(7)/8)^2-1/16
The three other ways to say the x-intercepts
Solutions, Roots, Zeros
If a parabola has x-intercepts at 4 and -8 and a maximum turning point at (-2,9) , what is the rule of the graph in factorised form?
y=-1/4(x-4)(x+8)
Solve for x:
(4x+1)/3-(x-2)/4=2
x=14/13
Find the equation of the line which passes through (1,2) and is perpendicular to the line with equation y=3x-9
y=-1/3x+7/3
Factorise the following expression:
3a^4-14a^2-5
(3a^2+1)(a+sqrt(5))(a-sqrt(5))
What is the vertical line which runs through the Turning Point?
Axis of Symmetry
Simplify
(7x^2+35x+42)/(2x^2+11x+15)-:(x^2-4)/(2x^2+x-10)
=7