1. .50
   .25
2. .60
   .12

We can reduce 2/8 down to 1/4 since 2 goes into 8 four times. 1/4 then can be simplified to .25. It's also easier to break down a whole "1" number into four of these parts, which is .25.

1. Linear
   Exponential
2. Circles
   Hyperbolas

Y=mx+b is the equation for linear (or straight) lines on a graph. Y corresponds to the vertical axis and X to the horizontal axis (on a graph), while m tells you the slope of the line. B can be found when you see the line go through the vertical axis.

1. 12
   13
2. 11
   10

This problem can be broken down like this: The square root of 4 is 2 and the square root of 16 is 4. If we multiply these two numbers together, we get 8. The square root of 25 is 5 and when we add that to 8, we get 13.

1. 7
   3
2. 8
   4

Cube roots are similar to square roots, but here's the difference: with cube roots, you're taking a number and multiplying it by itself three times. So in this example, 3(3)(3) is 27.

1. PAMDIS
   PIMDAS
2. PAMDES
   PEMDAS

You might have heard of PEMDAS during an algebra class, which is used to solve a complicated algebra problem correctly. This stands for parentheses, exponents, multiplication, division, addition and subtraction.

1. Quadrant III
   Quadrant IV
2. Quadrant II
   Quadrant I

A standard graph can be divided into four sections or quadrants. Quadrant I consists of only positive coordinates, while two negative coordinates can only be found on Quadrant III. Quadrants II and IV consist of both positive and negative coordinates.

1. 9/1
   1(9)
2. 1/9
   1+9

There's an easy way to rephrase negative exponents, and it's by taking the negative exponent (without its negative sign) and dividing it by the number in question. So, for 9^(-1), it's simply written as 1 divided by 9.

1. x < 6
   x > 6
2. x ≥ 6
   x ≤ 6

First, add 2 to both sides of the inequality. Now, you have 2x < 12. Divide 2 by both sides of the inequality, and you get x < 6. The inequality does not flip because we're not dividing or multiplying by a negative number.

1. Hecto
   Deka
2. Kilo
   Deci

Big and small numbers have prefixes attached to them, and in this case, 10 has the prefix "deka." 100 is hecto, 1,000 is kilo and 1,000,000 is mega. Really small numbers have prefixes like deci, centi and milli.

1. A=πr²
   y=mx+b
2. a² + b² = c²
   ax² + bx + c = 0

A quadratic equation can be written as ax² + bx + c = 0. The letters a, b and c are where the numbers go while x is your "variable" (aka, it's usually what someone is trying to solve for).

1. It's the longest side that is adjacent to the θ angle.
   It's the longest side that is opposite the right angle.
2. It's the shortest side of a triangle.
   It's the longest side that is adjacent to the right angle.

A right triangle has three sides to it: the adjacent side, the opposite side and the hypotenuse side. The hypotenuse side has two criteria: it is the longest side and it's opposite the right angle.

1. Sine = Opposite/Hypotenuse
   Cosine = Hypotenuse/Adjacent
2. Tangent = Opposite/Adjacent
   Cosecant = Hypotenuse/Opposite

Cosine actually means adjacent over hypotenuse and is often abbreviated as "cah" to remember this. This just means that we're dividing the adjacent side of a right triangle over the hypotenuse side.

1. Two sides and angles are equal.
   None of the sides and angles are equal.
2. Three sides and angles are equal.
   Four sides and angles are equal.

Unlike equilateral and isosceles triangles, scalene triangles have unequal sides and angles. Think of it as a triangle that has different lengths of sides, which could result in a rather oddly-shaped triangle.

1. Opposite side
   Hypotenuse side
2. Adjacent side
   The right angle

The Pythagorean Theorem can be written as a² + b² = c². The "a" part refers to the opposite side of a triangle, the "b" refers to the adjacent side and the "c" refers to the hypotenuse side.

1. 5/15
   5/25
2. 5/10
   1

When adding fractions, it's important to look at the denominators. If they're both the same, then the numerators can be added together. In this case, we can add 2 and 3 together to get 5, so we get 5/5, which can be reduced down to 1.

1. 3/15
   1/15
2. 2/15
   5/15

When dividing a fraction by a whole number, we can just rewrite it into a multiplication form by "flipping" the whole number. So, we would have (1/3) multiplied by (1/5) since we're flipping 5 (also written as 5/1) into 1/5. We can then multiply the numerators together to get 1 and the denominators (3 and 5) together to get 15, thus 1/15.

1. Nine
   Six
2. Eight
   Seven

You've probably seen a ton of red stop signs on the street, but did you know that those are actually heptagons? They are shapes with seven sides to them, and they're also referred to as "septagons."

1. Directrix
   Inscribed angle
2. Focus
   Vertex

Do you know those "U" shaped curves on a graph? Those are called parabolas, and if you want to graph them, you'll have to know a few things, such as the focus, vertex and the directrix. An inscribed angle has to do with circle theorems.

1. 360
   180
2. 90
   60

By definition, a quadrilateral has four sides and corners, and those four inside angles have to add up to 360 degrees. A square, rectangle, rhombus and a kite are all quadrilaterals.

1. V = πr²
   V = (4/3)πr³
2. V = 4πr
   V = (4/5)πr²

The volume of a sphere is noted by (4/3)πr³. The "r" stands for "radius" and is considered the line from one point of a sphere to its center. You could also take the diameter and divide it by 2 to get the radius.

1. To "flip" a shape
   To rotate a shape
2. To move a shape
   To resize a shape

Translating just means that we're going to move a shape, but it has to fulfill this criterion: all of its angles and distance points must remain constant. So if you're going to translate a right triangle, you can't change its angles, and all of its points must move at the same distance.

1. Proportionality
   Factorial
2. Because
   Therefore

The "∴" symbol means "therefore," and here's an example: X=Y ∴ Y=X. This is true if we substitute a number for either X or Y, as noted here: X=1 ∴ 1=X. The ∴ symbol is also used to note a logical conclusion.

1. 4x
   2x
2. x
   6x

Here's an easy method of finding derivatives (also known as the power rule): when working with a problem like 2x², multiply the number in front of x (which is 2) by the exponent (which is also 2) to get 4. Next, subtract 1 from the exponent (which is 2-1), so you now have 1 for the exponent. Thus, the solution is 4x.

1. Quadratic formula
   Bernoulli differential equation
2. Reciprocal rule
   Chain rule

If you've ever taken a calculus class, then you might be familiar with the Bernoulli differential equation, which can be solved depending on if n is 0, 1 or any other real number. The final solution typically involves solving for the "y" variable.

1. 2 hours
   1 hour
2. 30 minutes
   15 minutes

We can find out the answer to this problem by using the following formula: Speed = Distance divided by Time. We know that our speed is 10 mph, and our distance is 5 miles. So, it would be 10=5/T. This can be simplified to 10T=5. Thus, T=.50 (of 1 hour), which is 30 minutes.

1. $26
   $24
2. $22
   $20

It's easier to start with taking 10% of a number and doubling it. So 10% of 30 is 3, which means that 20% of 30 is 6. Then, you subtract 6 from the original $30 price, which is $24.

1. $2.88
   $3.06
2. $2.79
   $3.84

The answer can be simplified like this: 5 - 2.12. There are different methods to solve this, and one trick is to round 2.12 up to 3, and subtract it from 5 to get 2. So that's the first part of the answer: 2. Next, subtract 12 from 100 to get 88. Now, combine those two answers to get $2.88.

1. 5
   4
2. 2
   3

This problem is really asking what (1/3) of 9 is, which is 3. You can also divide 9 slices into three thirds, so if Jane wants 1/3 of the pizza, that means that she wants one of the thirds, which is 3 slices.

1. 46
   26
2. 36
   16

We know that Mary is 23 years old and that Lauren is 5 years younger than Mary, which means that Lauren is 18 years old. Since Timmy is twice as old as Lauren, that means that he is 36 years old (18 times 2).

1. 15
   10
2. 5
   20

First, you're going to keep 50% of the 80 pieces of fruit for yourself, so you're keeping 40. Next, your friends will each get 25% of the 40 remaining pieces of fruit. 25% can be written as (1/4) and 40 times (1/4) is 10. So, your friends will each get 10 pieces of fruit.

1. 3
   9
2. 6
   12

One tablespoon can be measured out to three teaspoons. So, if you need three tablespoons of sugar, you're going to need three teaspoons for every one tablespoon, which is simply 3(3)=9.

1. x² - x - 1
   x² -2x - 1
2. x² + 2x - 1
   x² + x -1

First, multiply the two x's together to get x². Next, multiply the first x by 1 to get x. Then, multiply -2 by the second x, which is -2x. Finally, multiply -2 by 1 to get -2. The problem then looks like this: x²+x-2x-1, and when we combine "liked terms," we get x²-x-1.

1. log(4)X(3)=81
   log(81)X(4)=3
2. This statement is incorrect.
   3(3)(3)(3) = 81

The base number of a logarithm is what you're going to multiply by itself, which, in this case, would be 3. The number of times we are multiplying 3 by itself is four times, which equals out to 81.

1. 22
   4
2. 12
   32

The area of a rectangle is noted by the following formula: A = width multiplied by height. So, in this case, since one side is 4 and the other side is 8, we can just multiply 4 and 8 together to get 32.

1. René Descartes invented factorials.
   Pi is 3.14.
2. Euler's number is 2.71.
   There are 5,280 feet in one mile.

René Descartes was known for his work in math and philosophy, but he didn't invent factorials. He is actually credited for inventing Cartesian coordinates, which are a set of two or more points [such as (4,2)] that can be graphed on a plane.