Formulas
Write the 3 forms of linear equations and their names
slope-intercept: y=mx+b
standard: Ax+By=C
point-slope: y-y1=m(x-x1)
Multiply the binomials: (x - 8)(x + 4)
(this changes them from factored to standard form)
x2 - 4x - 32
Write the equation of a line with slope 3 and y intercept 4
y=3x+4
solve for x: 5x - 2 = 8
x = 2
Factor: x2+2x-15
(x-3)(x+5)
Write the 3 forms of quadratic functions and their names
standard: ax2+bx+c
vertex: a(x-h)2+k
factored: a(x-p)(x-q)
Multiply: 2(x - 8)(x + 4)
(this changes them from factored to standard form)
2x2 - 8x - 64
What is the slope and y intercept of y = 4x-5
slope = 4, y intercept = (0, -5)
solve for x: 3x2 = 12
x = 2 or x = -2
Factor: x2-8x+16
(x-4)2
Write the forms exponential functions
abx and a(1+/-r)x
Complete the square: x2 - 6x + 4
(this changes is from standard to vertex)
(x - 3)2 - 5
Graph y = 1/2x-7
start at -7 on y axis, up 1, right 2
solve for x: 3(x - 2)2 = 12
x = 4 or x = 0
Factor: 2x2-x-15
(2x+5)(x-3)
What is the Quadratic Formula
-b+-sqrt(b2-4ac)/2a
Complete the square: 3x2 + 6x - 8
(this changes it from standard to vertex form)
3(x + 1)2 - 11
Write the equation of a line through (-5, 3), slope = 2
y-3=2(x+5)
E = mgh, solve it for m
m = E/gh
Factor: 49x2-64
(7x + 8)(7x - 8)
Write the simple interest and compound interest formulas
simple interest: A=p(1+rt)
compound interest: A=P(1+r/n)nt
Change this from vertex form to standard form:
3(x - 4)2 + 8
3x2 -24x +56
Write this as an expression:
Jim Bob got a job! He already saved $153 dollars and he's going to make $27 dollars a week.
y=27x+153
Kinetic energy can be found using the formula:
E = 1/2mv2, solve for v
v=sqrt(2E/m)
What are the x intercepts: y=(x - 3)(2x+9)
(3, 0) and (-9/2, 0)