Math Flashcards
Lowest common multiple
It is the lowest common multiple is the smallest number that two given numbers can both fit into evenly by multiplication
Ex: LCMS of 12 and 8= 24
How to simplify equations
Plug and chug
Greatest common divisor
It is the largest number that can be divided by both given numbers without a remainder
Ex: GDC of 12 and 8=4
How to find LCM and GCD
Plug and chug
How to add/subtract fractions
Find a coop on denominator and solve
How to compare fractions
Covert them to decimals ( and to make them a percentage move the decimal to the right two places.)
Of means ….
Multiply
Is means ……
Equal
Linear equations are what
They are equations that can be graphed on a number line
Ex:6\X=2
=3
How do you solve basic linear equations
Plug and chug
On probiotic problems with or questions
Don’t count things that over lap
Mean
The mean is the average of a set of numbers. Add up all number and divide by the total.
Median
The median is the middle number when the numbers are arranged in numerical order. If odd number of numbers it’s the middle one if it an even number of numbers it the average between the two middle ones.
Mode
Data that occurs the most. To find it count.
How many distinct prime factors does 42 have
42=7X6=3X2X7
How to solve polynomials
Foil them
What does a quadratic formula look like
Ax^2+bx+c
How to solve a quadratic equation
First try and plug in the numberS!!! If there is only one number answers ZIP- - zero it out -input the + or - signs into your parentheses ( x) ( x)=0 - factor it out to solve it
How to input signs on inputting the signs
If c is negative the (x+ ) ( x- )
If c positive and b is positive then (x+ ) (x+ )
If c is positive and b is negative the. (x- ) (x- )
Inequalities are what
Equations with greater than or less that symbols
How to solve complex number problems
Flip and Foil
Flip- mulitiply it By its self change the sign I’m the denominator and then putting that on top to
Foil- do top and bottom, add like terms replace i^2 with -1
Inequalities are what
Equations with greater than or less that symbols
How to solve complex number problems
Flip and Foil
Flip- mulitiply it By its self change the sign I’m the denominator and then putting that on top to
Foil- do top and bottom, add like terms replace i^2 with -1
What is distance formula
Square root of ((X2-X1)^2+(Y2-Y1)^2)
Midpoint Formula
( X2+X1/2 Y2+Y1/2)
What is Slope Formula
Y2-Y1/X2-X1
How to tell how many intercepts a parabolas has?
If b^2-4ac > 0 you will have two
If b^2-4ac= 0 you will have one
If b^2-4ac< 0 you will have none
Parabola shapes
A> 0 U-Shaped
A< 0 N-Shaped
Fraction fat
Whole number skinny
What to do if asked for the intercepts of a parabola formula
ZIF it up
Formula for a circle
(x-h)^2+(y-k)^2=r^2
X and Y correspond to the axis on the coordinate plane.
(h,k) is the center of the circle
r= radius
How to tell if a circle goes through a point?
- Change the signs for h and k
- input the point into x and y
- square what you get for the radius
Straight line
180
Right angle
90
Angle addition rule
Two smaller angles within a larger angle will add together to the measure of the larger angle.
Opposite angle rule
If two lines cross each other, 4 angles will be formed, and the opposites will be equal. If you look at the letter X, the angle at the top and bottom are equal, and the angles on the left and right side are equal. No matter where the line crosses, The top will match the bottom and. the left will match the right
Define bisects
Cuts the angle equally in two
What do you do with triangle questions
Label them as you go
Properties of a quadrilaterals
- all interior angles up to 360
- the perimeter can be found by adding up all the sides
- area is based times height
How to find the area of a quadrilateral
Cut it into pieces
Radius
Any line from the center of the circle to a point on the circle
Diameter
Any line from a point on the circle to the opposite side which passes through the center
Circumference
The perimeter of the circle. The formula is C=2pieR
Area
All the space inside the circle. The formula is a=pieR^2
Sector
Any triangle piece cut out by two radii. It’s like a slice of pizza.
Arc
The edge cut out by two radii. It’s like the crust of a piece of pizza .
Chord
Any line connecting one point of a circle to another, but not necessarily opposite points ( which would be a diameter). Every diameter is a chord, but not every chord is a diameter.
Tangent
A line perpendicular to the radius that touches the circle in one spot. If you stood a coin up on its edge on a table, the coin would be the circle and the surface of the table would be tangent to the coin.
Pythagorean theorem question
Square root of a^2+b^2 or plug and chug
Parallel line
A= d, e, h B= c, f, g
Formulas for a cube
6 sides figure
Volume: L x W x H
Surface area:
- regular cube ( looks like a die) L x W x 6= S
-Rectangular cube( looks like a shoe box ) 2 x L x W + 2 x H x W + 2 x H x L= S
Formulas for a Sphere
Volume: 4/3PieR^3
Surface area: 4PieR^2
Cylinder
Volume: PieR^2H
Surface area: 2PieRH
Cone
Volume: 1/3PieR^2H
Surface area: PieR square root of R^2+H^3
Sine
Opposite/Hypotenuse
Cosine
Adjacent/Hypotenuse
Tangent
Opposite/Adjacent
