Review of Formulas and Concepts

Flashcards for Geometry, Volume, Slope, and Algebra Review

What is the area of a square if one side is 's'?

A = s²

How do you calculate the area of a rectangle?

Area (A) = length × width

What is the formula for the area of a triangle?

A = 1/2 * base * height or A = (b*h)/2

What is the formula for the area of a circle?

A = πr² or A = 3.14r²

formula for the volume of a cube

Volume (V) = s³ (s = side length)

formula for the volume of a cylinder

V = 3.14r²h

formula for the volume of a cone

V = (1/3)πr²h or V = (3.14r²h)/3

first ormula of volume for a sphere

V = (4/3)πr³

slope from an equation in the form y = mx + b

m

formula to calculate slope from a graph

Slope = rise / run

How is slope calculated from a table of values?

Slope = Δy / Δx (change in y divided by change in x)

What formula is used to calculate the distance on a graph?

a² + b² = c² (Pythagorean theorem)

What is the distance formula for two points (x1, y1) and (x2, y2)?

d = √((x1 - x2)² + (y1 - y2)²)

How do you find the midpoint M between two points (x1, y1) and (x2, y2)?

M = ((x1 + x2)/2, (y1 + y2)/2)

What is the general form of an exponential growth equation?

y = a(1 + r)^x (where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time)

What is the general form of an exponential decay equation?

y = a(1 - r)^x (where 'a' is the initial amount, 'r' is the decay rate, and 'x' is the time)

What is the standard form of a quadratic equation?

ax² + bx + c = 0

How do you find the axis of symmetry (AOS) of a quadratic equation?

x = -b / 2a

How do you find the vertex of a quadratic?

Plug the x-value from the Axis of Symmetry into the original equation.

Where is the y-intercept of a quadratic equation located when written in standard form?

c: (0, c)