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Flashcards for TEAS Math Formulas Review
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Area of a triangle
A = 1/2 * b * h
Area of a square
A = l^2
Area of a rectangle
A = l * w
Area of a parallelogram
A = b * h
Area of a trapezoid
A = 1/2 * (b1 + b2) * h
Area of a circle
A = πr^2
Area of a rhombus
A = 1/2 * (d1 * d2)
Area of an ellipse
A = πab
Volume of a rectangular prism
V = l * w * h
Volume of a cube
V = s^3
Volume of a cylinder
V = πr^2h
Volume of a triangular prism
V = 1/2 * b * h * l
Volume of a cone
V = 1/3 * πr^2h
Volume of a rectangular pyramid
V = 1/3 * l * w * h
Volume of a Sphere
V = 4/3 * πr^3
Perimeter
The sum of all sides of a shape
Circumference
The distance around a circle (C=2πr)
Pythagorean Theorem
a^2 + b^2 = c^2
Apex
The highest point of a shape, opposite from the base
Base
The face of a shape perpendicular to the direction height is measured
How many inches are in 1 foot?
1 ft = 12 in
How many centimeters are in one inch?
1 inch = 2.54 cm
How many feet are in one yard?
1 yd = 3 ft
How many feet are in a meter? How about yards?
1m = 3.28 ft = 1.09 yd
How many feet are in a mile? How about kilometers?
1 mi = 5,280 ft = 1.61 km
How many grams are in one ounce?
1 oz = 28.35 g
How many ounces are in one cup?
1 cup = 8 oz
How many cups are in one pint?
1 pint = 2 cups
How many pints are in one quart?
2 pints = 1 quart
How many quarts are in one gallon?
4 quarts = 1 gallon
1 gallon is how many liters?
1 gallon = 3.8 liters
1 pound is how many ounces?
1 pint = 16 ounces
1 kilogram is how many pounds? How about ounces?
1 kg = 2.2 lb = 35.27 oz
1 ton is how many ponds and kilograms?
1 t = 2,000 lb =907.19 kg
°F
(9/5) (°C) + 32
°C
(5/9) (°F) – 32
What is the Mean?
Average. Add all the numbers and divide by how many there are.
What is the Median?
Middle
What is the Mode?
Most common/frequent
What is the Range?
Distance between smallest and largest (largest - smallest)
What is Slope (m) in y=mx+b?
rise/run or (y2 - y1) / (x2 - x1)
What is b in y=mx+b?
y-intercept
Percent Increase
(new value – original value) / original value × 100
Percent Decrease
(original value – new value) / original value × 100
Percent to Fraction/Decimal
Percentage / 100
Decimal to Fraction
decimal × (10^n) / (10^n)
Decimal to Percent
decimal × 100
Fraction to Decimal
numerator / denominator
Fraction to Percent
(numerator / denominator) × 100
kilo
0.001
hecto
0.01
deca
0.1
base
1.0
deci
10.0
centi
100.0
milli
1,000.0
Linear Equations
ax + b = c
Quadratic Equations
ax^2 + bx + c = 0
x–b± √(b^2 – 4ac) / 2a
Inequalities
ax + b < c , ax + b > c , ax + b ≤ c , ax + b ≥ c