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FTCE Math 6-12 Formulas

Terms in this set (39)

g(x)=A sin(B x)
A=
B=
A= amplitude
B= period
Parallelogram: Area
bh
Triangle: Area
1/2bh
Period=
2π/B
Rectangular Prism
SA=2lw+2wh+2lh
V=Bh
Right Cylinder
SA=2πrh + 2πr²
V=πr²h
Cube
SA=6s²
Right Circular Cone
SA+πrl+πr²
V=1/3πr²h
Square Pyramid
SA=1/2Pl + B
V=1/3Bh
Sphere
SA=4πr²
V=4/3π³
Polygon: Area
1/2ap
Kite or Rhombus: Area
1/2 d1 d2
Quadratic Formula
-b ± √(b² - 4ac) / 2a
Pythagorean Theorem
a²+b²=c²
Rectangle: Area & Perimeter
A=lw
P=2l+2w
Trapezoid: Area
½h(b₁+b₂) or M * h
Distance Formula
√( x₂ - x₁)² + (y₂ - y₁)²
Midpoint Formula
{(x₁+x₂)/2, (y₁+y₂)/2}
Slope Formula
(y₂- y₁) / (x₂- x₁)
Point Slope Form
y - y₁ = m(x - x₁)
Slope Intercept Form
y=mx+b
Right Triangle Trig.
SOH-CAH-TOA
Measure of Each Interior Angle
180(n-2)/n
Vertex
-b/2a
Discriminant Formula
b² - 4ac
Negative = no real roots
Positive = 2 real roots
Zero = 1 double root
Sum of the Measures of Interior Angles
180(n-2)
Conic: Standard Equation of a Circle
(x-h)² + (y-k)² = r²
Conic: Standard Equation of an Ellipse
x²/a² + y²/b² = 1
Conic: Standard Equation of a Hyperbola
x²/a² - y²/b² = 1
Conic: Standard Equation of a Parabola (Y)
y = a(x-h)² + k
Coordinate Pair: (h,k)
equation y → (opens up if a>0; opens down if a<0)
Conic: Standard Equation of a Parabola (X)
x = a(x-k)² + h
Coordinate Pair: (h,k)
equation x → (opens to the right if a>0; opens to the left if a<0)
Arithmetic Sequence
an=a₁+(n-1)d
Arithmetic Series
Sn=n/2(a₁+an) or n/2[2a₁+(n-1)d)
Geometric Sequence
an = a₁*rⁿ⁻¹
Geometric Series
Sn=a₁(1 - rⁿ/1-r)
Compound Interest
A=P(1+r/n)∧nt
Stat Score
mean±(# of dev. from the score * std dev.)
Z-score
(data item - mean)/std dev.
Percentile Rank
(# of scores below / n) * 100
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