key formulas, meanings of words, and essential concepts Flashcards
Formula to calculate percentage.
Percentage = Part/Whole ×100
Meaning of “of”
In mathematics, “of” typically means multiplication.
Area of a circle
πr^2 (r means radius)
PrimeFactorization
Anynumber=Productofprimenumbers (Used to break a number down into its prime factors.)
a^2 - b^2 = (a + b) (a - b)
Difference of squares formula.
(a + b)^2 = a^2 + 2ab + b^2
Perfect square expansion.
Coefficient means
The number in front of a variable in an algebraic expression.
What is the Quadratic Formula?
x = -b ± √b² - 4ac / 2a
Areaofatriangle=
1/2 x base x height
Pythagoras’Theorem
a^2 + b^2 = c^2
Circumferenceofacircle
2πr (r is radius)
Mode
The value that appears most frequently in a data set.
Range
Largestvalue − Smallest value
Median
The middle value when data is arranged in order.
Mean
Sumofallvalues /
Numberofvalues
Formula: sin𝜃
Opposite / Hypotenuse
Formula: cos𝜃
Adjacent / Hypotenuse
Formula: tan𝜃
Opposite / Adjacent
Hypotenuse
The longest side in a right-angled triangle, opposite the right angle.
SAHCOHTOA
Sin is Adjacent over Hypotenuse, Cos is Opposite over Hypotenuse, and Tan is Opposite over Adjacent
“Per”
Indicates division (often used in rate or ratio problems)
“Sum”
The result of adding two or more numbers together.
“Product”
The result of multiplying two or more numbers together.
“Difference”
The result of subtracting one number from another.
