Fundamental Math Skills Flashcards
What is the Midpoint Formula? (x, y) = ?
x + x ───, 2 y + y ─── 2
How do you find slope? M = ?
y² - y¹
───
x² - x¹
What is the Pythagorean theorem?
a² + b² = c²
Combinations: 3 socks, 5 shoes, 12 shirts. How many outfits?
3 x 5 x 12 = 180
a² x a³ = ?
a² x a³ = a⁵
You should add the exponents together.
Division rule for exponents?
a⁴ ➗ a² = a⁴ ⁻ ²
( a² )⁵ = ?
( a² )⁵ = a²ˣ⁵
If there is a fraction and the numerator has a exponent what happens to the rest of the fraction?
a⁴
─ =
b
a⁴
─
b⁴
Zero exponent rule?
a⁰= 1
Negative exponent rule?
a⁻² =
1
─
a²
Substituting values into polynomials
f (x) = -3x² + 5x + 4
f(-5.2) = ?
F(x) = -3(-5.2)² + 5(-5.2) + 4
A rational can be written as
a fraction of a whole number
What is probability
P(a) =
Want
────
#Total
a=want
Complex Numbers
i = ?
i is equal to √1
Complex numbers
i² = ?
i² = − 1
1 meter is equal to how many feet?
1 meter is equal to 3.3 feet.
1 kilogram is equal to how many pounds?
1 kilogram is equal to 2.2 pounds.
1 yard is how many feet?
1 yard is 3 feet.
1 mile is equal to how many kilometers?
1 mile is equal to 1.61 Kilometers
What is the Arithmetic Sequence Formula?
a(n) = a¹ + (n-1)d a(n) = the term you want to find. a¹ = first term in the sequence n = the term position (ex. for 5th term n = 5) d = common difference of any pair of consecutive or adjacent numbers.
What is mode?
Mode is the most common number.
What is median?
Median is the average of the middle numbers or the middle number.
What is mean?
Mean is the same as the average.
What is the area of a circle?
The area of a circle is πr²
What is the circumference of a circle?
The circumference of a circle is 2πr which is also equal to πd.
The area of a square is?
l²
The area of a rectangle is?
A = wl
The area of a Trapezoid is
The area of a Trapezoid is 1/2( b + b ) (h).
The area of a Trapezoid is
The area of a Trapezoid is 1/2( b + b ) (h)
Circular Inequality formula is?
The Circular inequality formula is
( x - h )² + ( y - k )² = r²
( h, k ) = the center of a circle
r = radius
What is the volume of a cube?
The volume of a cube is s³
where s is the side lengths of the cube
The Volume of a Cylinder is
The volume of a Cylinder is πr²h
45°–45°–90° triangle
30°–60°–90° triangle
3: 4 :5 Triangle
5:12:13 Triangle
8:15:17 Triangle
90-45-45 triangle
30-60-90 triangle
²√x³ is the same as
3/2
x^
What is the area of a parallelogram?
The area of a parallelogram is bh
What is the perimeter of a parallelogram?
the perimeter of a parallelogram is
2(a + b)
b(base)
a(side)
You can only add numbers together with exponents if they have the same ____. If the two _____ are different take the numbers to their exponent and then add.
- Base
2. Bases
