if you had an equation like 7x+4 + 3x +2 you would separate like terms like this. 7x+3x + 4+2 add...
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A to Z Math Project
𝑓 (𝑥 )=𝑎0+∑𝑛=1
∞
(𝑎𝑛cos𝑛𝜋 𝑥𝐿
+𝑏𝑛sin𝑛𝜋 𝑥𝐿 )
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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
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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.
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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
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Exponents
Exponents are the shortened expression of a repeated equation for example if you had.2x2x2x2x2x2x2x2 an exponent of it would be2^8
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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
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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
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Horizontal The line that goes up or down (horizontal on a graph
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integerIntegers are whole numbers (numbers with no fraction 1,2,3,4,etc.) but also include negative numbers.
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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
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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
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Modeling PolynomialsModeling polynomials is just drawing a picture to represent the numbers
-1 Tile +1 tile
+X tile -X tile
+ x^2
- x^2
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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
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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
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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
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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.
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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.
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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
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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
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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
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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
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Whole numberWhole numbers are simple plain numbers like 1,2,3,4 but unlike integers they do not include negative numbers
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X-AxisThe line that runs horizontally through a graph
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Y-AxisThe line that runs vertically through the graph
Y
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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