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𝑥ᵐ × 𝑥ⁿ =
𝑥ᵐ⁺ⁿ
ⁿ√ab =
ⁿ√a × ⁿ√b
(𝑎ⁿ)ᵐ =
𝑎⁽ⁿᵐ⁾
Quadratic vertex form
With vertex (h,k)
𝑦 = 𝑎(𝑥 − ℎ)² + 𝑘
If |𝑎| > 1 → The parabola is narrower (stretched vertically)
If 0 < |𝑎| < 1 → The parabola is wider (compressed vertically)
Percent Change Formula
[(New - Old) / Old] x 100%
log(a) + log(b) =
log(ab)
log(x) - log(y) =
log(x/y)
Area of a parallelogram
A = bh
Area of a trapezoid
A = ½ (b1+b2) x h
Area of a triangle
A = ½bh
Area of a cube
A = 6𝑠²
Volume of a cube
𝑣 = 𝑠³
Volume of a rectangular prism
V = lwh
Volume of a cylinder
𝑣 = π𝑟²h
Volume of a sphere
V = (4/3)π𝑟³
Mean
Average
Median
Middle number
Mode
Most frequent number
Isosceles triangle definition
at least 2 equal sides
Equilateral triangle definition
3 equal sides
Area of a circle
A = πr²
Circumference of a circle
C = 2πr
Arc length of a circle
s = rθ
θ in radians
Sector area of a circle
A = ½ r² θ
θ in radians
Equation for a circle
(x - h)² + (y - k)² = r²
(h,k) = vertex
Arithmetic sequence for the nth term
an = a1 + (n−1) x d
Arithmetic Series
[n x (a1 + an)] / 2
Geometric sequence nth term
an = a1 x rⁿ⁻¹
Sequence and Series definition
Sequence = set of numbers that follow a pattern
Series = sum of the terms in a sequence
Angles ended by points A and B on a circle are:
Congruent
Angles that are ended by points A and B (AB = diameter) are:
90 degrees
The central angle is how many times as big as an angle on the circle that are ended with the same arc?
2 times
Geometric Series
Sn = [a(1-r^n)] / (1-r)
