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Math 8 Formulas & Review for the EOG
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Gravity
Key Concepts:
Terms in this set (44)
Volume of a Cylinder
(V = πr²h) V = pi times r squared times h
Volume of a Cone
(V = πr²h/3) V = pi times r squared times h divided by 3. Hey! That's the same as one-third times the volume of a cylinder.
Volume of a Sphere
(V = 2πr²h/3) V = 2 times pi times r squared times h divided by 3. Hey! That's the same as two times the volume of a cone when the height is 2r.
If you know the diameter, what do you do to find the radius?
Divide the diameter by 2
To find the missing side of a right triangle, what formula do you use?
(a² + b² = c²) a squared plus b squared equals c squared
What letter represents the longest side of a right triangle also known as the hypotenuse?
c
What is the form of a linear equation that helps you find the slope and y-intercept?
y = mx + b
What variable represents the slope?
m
What variable represents the y-intercept?
b
On a graph, how do you find the slope?
(rise/run) rise over run
In a table, how do you find the slope?
(change in y/change in x) Do the loops and find change in y over change in x
On a graph, how do you find the y-intercept?
Find where the line crosses the y-axis
In a table, how do you find the y-intercept?
Find the value of y when x = 0 by backing up the table
How do you find the scale factor for a dilation?
(N/O or New/Original) New divided by Original
Dilation means...
Multiplication
When in doubt...
Write it out
What does ANYTHING raised to the power of 0 equal?
1
What do you do with a negative exponent?
If it's on the top, put it on the bottom. If it's on the bottom, put it on the top. And the negative exponent is gone.
What does scientific notation look like?
Any digit 1 through 9 in front of the decimal times 10 to the power of the number of times the decimal moved.
What is important to remember when you put scientific notation into a calculator?
Use parentheses ( )
When the exponent is negative in scientific notation, what does it mean?
The number in standard form will be a small number less than 1
When the exponent is positive in scientific notation, what does it mean?
The number in standard form will be a big number greater than 1
What is the objective for solving equations?
Isolate the variable. Get all of the variable terms on one side and get all the number terms on the other side.
Does order matter for a sequence of transformations?
YES!
What is a key idea for doing a reflection?
Mirror or yo-yo across the x-axis or the y-axis
What is a key idea for doing a rotation?
Copy the shape and turn your paper
What is a key idea for doing a translation?
Slide and watch your signs
How do you multiply or divide integers?
Use Dorito the dog. A positive times a positive is a positive. A negative times a negative is a positive. A positive times a negative is a negative.
To compare data in a two-way table, what should you use?
Use PERCENTS or decimals! Do not use raw numbers.
How do you graph the equation of a line that is in slope-intercept form?
Use the y-intercept, which is b, to plot the first point. Then use the slope, which is m, to plot the next point by using (rise/run) rise over run.
What is the solution to a system of equations?
The point where the lines intersect.
What do supplementary angles add up to?
180 degrees
What do complementary angles add up to?
90 degrees
What is the sum of the 3 angles in a triangle?
180 degrees
What 4 types of angle relationships are congruent?
vertical angles, corresponding angles, alternate interior angles, and alternate exterior angles
What does a positive slope look like on a graph?
It goes uphill from left to right.
What does a negative slope look like on a graph?
It goes downhill from left to right.
What does a zero slope look like on a graph?
It is flat or horizontal.
What does an undefined slope look like on a graph?
It is straight up and down or vertical.
What do you call a number that can't keep still?
A roamin' numeral. Ha ha ha
What do you call a tree that is made up of numbers?
A Geometry. (Geome-tree) He he he
What does the Batman cartoon theme song sound like?
Na na na na. Na na na na. Bat. Man.
What's the biggest word you ever heard?
super. cali. fragilistic. expi. alidocious.
What did the ocean say to the land when it said hello?
Nothing. It just WAVED. ha ha ha. Corny jokes are the best!
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