A to Z Math Project

𝑓 (𝑥 )=𝑎0+∑𝑛=1

∞

(𝑎𝑛cos𝑛𝜋 𝑥𝐿

+𝑏𝑛sin𝑛𝜋 𝑥𝐿 )

Adding Polynomials If you had an equation like 7x+4 + 3x +2 you would separate like terms like this. 7x+3x + 4+2 add these together to get 10x + 6 to get your answer

Coefficient A coefficient is the number before the variable for example in 5x the 5 is a coefficient and x Is variable. If you had an equation like 5x+3-2x. 5 and 2 are coefficients abut 3 is a constant because it doesn't have a variable behind it.

Distributive Property Distributive Property is when you take an equation like 2(1+2) and solve it by distributing 2 like this

2(1+2) and

Exponents

Exponents are the shortened expression of a repeated equation for example if you had.2x2x2x2x2x2x2x2 an exponent of it would be2^8

Multiplying fractions

To multiplying fractions all you have to do is multiply the numerators together and then multiply the denominators together like this. 2/3 x 4/5 = 8/15

Graph The Cartesian is a type of graph were you mark a point on a graph by using the x and y coordinates, like this.

= 5,6

Horizontal The line that goes up or down (horizontal on a graph

integerIntegers are whole numbers (numbers with no fraction 1,2,3,4,etc.) but also include negative numbers.

Just Do It.When you are multiplying fractions the “saying” you would use to describe it is just do it fro example if you had.

2 33 4

XYou would just do 2x3 and 3x4 to get 6/12

Like terms

In an equation like 3x + 2 + 3x = 4x – 2 all of the numbers with a variable at the end are like terms and all of the numbers without a variable are like terms. If I was to group them it would be 3x, 3x, 4x and 2,-2

Modeling PolynomialsModeling polynomials is just drawing a picture to represent the numbers

-1 Tile +1 tile

+X tile -X tile

+ x^2

- x^2

NumeratorThe numerator is the top number in a fraction for example: 2/3. when you multiply fraction you just and the two numerators together as well as the denominators

Order of Operation The order at which you do an equation “BEDMAS.” In an equation you would do brackets than exponents than divide and or multiplication and adding or subtraction

Power Of A PowerWhen you have an equation written like this (3^2)^3 this written out would be. (3^2)(3^2)(3^2)

Power Of A Power lawThis law means you times the two powers together for example (3^2)^3 would = 3^6

QuotientThe answer you get when you divide two numbers together for example in 8/4 = 2. 2 is the quotient 8 is the dividend and 4 is the divisor.

Rational NumbersA rational number is a number you can right as a fraction. Numbers like 5,1.75 and .001 can be written as fractions 5/1 7/4 and 1/1000 so they are all rational numbers.

Surface AreaWe learned how to calculate the surface area of an 2 objects but together like this you would have to ad up the two surface areas by doing SA= 2(l X w + w X h + hXl) the subtract the are off the base of the smallest prism the add up the two areas and subtract the base twice

TrinomialA trinomial is a polynomial with three terms so 3x2 − 3y2 + 2 is a trinomial but 55+ 9x5 wouldn't it would be a binomial

Unlike terms Unlike like terms unlike terms are number that don’t match like 2x and 3 these are unlike terms because you cant mix these together you cant have 3+2x you have to do other steps to find the answer you can just add them together

Variable

A variable is the letter in an equation like in 2x + 3 – 4 x behind two is a variable. Variable can also be by themselves like in an equation like 2 + x – 2 X is also a variable

X Y

Whole numberWhole numbers are simple plain numbers like 1,2,3,4 but unlike integers they do not include negative numbers

X-AxisThe line that runs horizontally through a graph

Y-AxisThe line that runs vertically through the graph

Y

Zero PairsZero pairs is when you have two numbers that cancel each other out for example +1 and -1 make a zero pair. If you had the equation 5x + 3 – 5x the to 5x would cancel each other out because they one is a negative and one is a positive