Formulas

Question 1

Calculates the distance between two points on a coordinate plane.
Distance:

Answer 1

d=√(x₁ – x₂)² + (y₁ – y₂)²

Question 2

The slope is the rise (vertical change) / run (horizontal change)
Slope Formula:

Answer 2

(y₂-y₁)/ (x₂– x₁)

Question 3

Equation of a straight line, where m is the slope and (x1, y1) is a point on the line.

Point-slope form of a line:

Answer 3

y – y1 = m(x – x1)

Question 4

FOIL (First, Outer, Inner, Last):

Answer 4

(a + b)(c + d) = ac + ad + bc + bd

Question 5

Calculates the midpoint of a line segment on a coordinate plane.

Midpoint formula:

Answer 5

(x₁+x₂) / 2, (y₁+y₂) / 2

Question 6

Describes the equation of a line in terms of its slope (m) and y-intercept.

Slope-intercept form of a line:

Answer 6

y= mx+b

Question 7

Used to solve quadratic equations of
ax^2 + bx + c = 0.
Plug in the values of a, b, and c and solve for x.

Quadratic equation:

Answer 7

x = −b ± √b²-4ac/2a

Question 8

Area of triangle:

Answer 8

area = (1/2) (base) (height)

Question 9

Pythagorean theorem:

Answer 9

a²+b²=c²

Question 10

Area of a circle:

Answer 10

π * r²

Question 11

Area of a sector in a circle:

Answer 11

𝜃/360o(𝜋r2)

Question 12

Area of a rectangle:

Answer 12

area = length x width

Question 13

Area of a parallelogram:

Answer 13

area = base x height

Question 14

Area of a trapezoid:

Answer 14

A = ½ (a + b) h

Question 15

Circumference of a Circle:

Answer 15

C = 2πr

Question 16

Sum of interior angles of a polygon:

Answer 16

( n − 2 ) × 180, where n= number of sides

Question 17

Surface area of a sphere:

Answer 17

4πr2

Question 18

Volume of a box

Answer 18

lwh (length x width x height)

Question 19

Surface area of a rectangular solid

Answer 19

2lw + 2wh + 2lh

Question 20

Diagonal in a rectangular solid

Answer 20

d² = l² + w²

Question 21

Volume of a sphere

Answer 21

4/3 π r³