There was a lot of units I went through and enjoyed and also hated but at the end figured out. But here is my Top 5 things I enjoyed or learned.

1. Geometric Series

Knowing that geometric sequences multiply as they go up other than add like arithmetic sequences you use the following formula of and a series is when you add them all together, so you use the formula

Ex:

2. Multiplying radical expressions

When it comes to multiply radical expressions there are a few steps you need to do.

a. Foil

B.Simplify answers

c. Add like terms

D. Finish everything else off

Ex:

First you need to foil the numbers together

Next you need to add the like terms together

Subtract 4 from 3 to get the final answer of -1

3. Factoring Polynomial Expressions

When you factor Polynomial Expressions it is fairly simple. First when you look at the expression you see if there are any numbers are in front of the because if there are none you move on to the next two numbers. You need to find two numbers which multiply to the third number and add to the next number. If there’s a number in front of the you need to use the box technique.

Ex:

4. Absolute Value

Absolute value is a very weird thing, anything found inside of it can only be positive, this is because imagine a line and your in the middle of it and there are two toys on either side of you and both 2m apart. You don’t say one is -2m away and one is 2m away you say they’re both 2m away. Let’s now do an example when absolute value is included in it.

Ex:

5. Trigonometry: Solving sides of a triangle using Sine law

in Sin law you MUST use the fromula . If needing to find an angle you use this formula, if you need to find a side you use this formula but flipped over.

Ex:

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Here are the steps you need to know when face with one of these expressions:

1. Look at the symbol to see if it’s multypling or dividing

2. Simplify to make the question less ugly

3. Calculate

4. See if you are able to simplify again

5. Throughout the process make sure you’re writing the restrictions

Now knowing the steps on how to attack these expressions, let me show an example just to clear anything buggy.

Ex:

knowing this is multiplying you don’t need to flip over the fraction on the right side

Now you simplify to

Now you multiply and get a final answer of

and Bam Boom Pow Now you know how to multiply and divide simple rational expressions

]]>Before you do anything put down the three diagrams:

Also write down Soh Cah Toa, which can also be

SINE LAW: Now when using sine law to find a side you must use this formula if you want to find an angle you just flip the fractions over.

Ex:

to find the angle you use the formula of

then plug in the numbers

which finally gives you $latex \angleB=41

COSINE LAW: When using Cosine law if you want to find the side you want to use the formula if you want to find the You must use the formula

Ex:

To find f you use the given formula

then plug in the numbers

finally you get the answer of a=31.6

]]>1. Find the CD (common denominator)

2. Add or Subtract

3. Simplify more if needed

Here’s a example to show how to do these questions

Ex:

Pencil is for style*

Step 1: You write out the equation

Step 2: You find out the CD

Step 3: You need to add and subtract together

Step 4: Finally you check to see if you need to simplify more which in this case you do

Then bang you’ve got your anwser

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To simplify these equations you just have to follow these steps

1. Cross simplify

2. Multiply

3. Check to see if needed simplifying again

Ex:

You must cross simplify and after doing that you would get:

Multyply the two top numbers together and the two bottom numbers together and you get:

And there’s your anwser.

]]>The steps you sut follow to find the graphs are.

1. Graph line

2. Find the invariant points (which are found at y= 1 and y= -1)

3. Find asomptotes

There are 3 Diffrent graphs you can get

- You can have a graph with 2 x values

This happens when the parabola passes through the 1 or -1 y intercepts

this graph is $latex y=x^2$ and it’s reciprocal one

And in this graph the x values are:

1. x= 1

2. x= -1

2. You can have a graph with 4 x values

This happens when the parabola passes through the -1 and 1 y intercepts

this graph is and it’s reciprocal one

And in this the x values are:

1. x= -1.7

2. x= 1.7

3. x= -2.2

4. x= 2.2

3. You can have a graph with 0

this happens when the parabola doesn’t go passed the 1 or -1 y intercepts

this graph is and it’s reciprocal one

there are no x values found.

]]>Ex:

y=2x+1

is

y= I2x+1I

but since it’s absolute value and te line can’t go under the x-axis the line just bounces back up

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The main thing to recognize is where the < is facing and also to know if a is negative or positive because that could change the whole anwser.

Example:

-x-12 __<__0

First you factor the quadratic equation to : (x-4) (x+3)

x=4 and x=-3

Since it’s : +-+ because a is positive

Then that means the anwser is : -3__<__x__<__4 because the < was facing towards the zero so you wanted to find the negative part.

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Ex:

49-250

-201

since it’s negative there are no real roots.

]]>General form: general form is the equation ,and it can tells how to find the y intercept, if it’s up or down and what it’s congruent to.

Standard form: standard form is the equation and it’s the most helpful out of the 3 options because you can find the vertex, if it’s up or down, what it’s congruent to and the Axis of symmetry.

Factored form: Factored form is the equation and it can tell you what the x intercepts are, if it’s up or down and what it’s congruent to.

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