General Math Information

Question 1

Describe the order of operations.

Answer 1

PEMDAS:

1. Parentheses
2. Exponents
3. Multiplication and division as they occur left to right.
4. Addition and subtraction as they occur left to right.

Question 2

What is the number in front of a variable called?

Answer 2

The coefficient. e.g. 5x, coefficient is 5.

Question 3

What is a monomial?

Answer 3

It’s an expression with only one term, e.g. 5x is a monomial.

Question 4

What is a binomial?

Answer 4

An expression with two terms, e.g. 5x + 7y.

Question 5

What is a trinomial?

Answer 5

An expression with two terms, e.g. 5x+7y+10z

Question 6

What is a polynomial?

Answer 6

An expression with more than three terms.

Question 7

What does FOIL stand for? What is it used for?

Answer 7

FOIL stands for First, Outer, Inner, Last. It is used to multiply 4 terms at a time, e.g. (x+3)(x-3). First- (x)(x)=x^2, Outer (-3)(x)=-3x, Inner (3)(x)=3x, Last (-3)(3)=-9.

Question 8

What does distribute mean?

Answer 8

Distribute means multiply one term by all the other terms. e.g. 5(x+y) distributed is 5x+5y.

Question 9

What does it mean to combine like terms?

Answer 9

Shorten an expression by adding, subtracting, multiplying, and dividing as much as possible. e.g. 5x-7x+14x-3y+4x= 16x-3y.

Question 10

(x+12)^2=

Answer 10

x^2+24x+144

Question 11

How do you find the perimeter of a shape?

Answer 11

Add the lengths of each side together.

Question 12

What is the area of a shape?

Answer 12

The area is how much space is inside of a shape. You can find the area of a square or rectangle by multiplying length x width.

Question 13

What does (x+9)^2 mean?

Answer 13

It means (x+9)(x+9) - use FOIL to solve.

Question 14

What are the steps to solve a word problem?

Answer 14

1. Read the whole problem
2. Figure out what they are asking for.
3. Make a key of all your information.
4. Combine the information from your key into an equation.
   •Often, you’ll have multiple undefined values.
   -One or more values will be modified. E.g. Sam is 5 in shorter than Sally. Sam’s height is being modified using Sally’s height.
   -One value won’t have much info. This value is ‘x’. Sally would be x.
5. Solve the equation.
6. Return to the key you wrote. Plug in your ‘x’ value to find the piece of information the question is asking for. That’s your answer!

Question 15

What is an arithmetic pattern?

Answer 15

A pattern that can be found in a table of related information. The pattern will usually be consistent addition or subtraction of the same number.

Question 16

How do you find an arithmetic pattern?

Answer 16

Subtract the values of 2 points next to each other in a table. Do it again with different points. One of your subtraction values should be 1 both times. The other values should be the same both times- that value is your arithmetic pattern.

Question 17

How can you make a formula from a table?

Answer 17

Find the arithmetic pattern, set your formula to y=x * arithmetic pattern. If the pattern is 35, the formula is y=35x.