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# Math Study Sheet!!!!
# Exam Detail
> |Unit|Marks|
> |:---|:----|
> |Unit 1|10|
> |Unit 2|10|
> |Unit 3|9|
> |Unit 4|11|
> |Unit 5|11|
> |Unit 6|8|
> |Forms|4|
> |Total|63|
> |Section|Marks|
> |:------|:----|
> |Knowledge|21|
> |Application|23|
> |Thinking|12|
> |Communication|3|
> |Forms|4|
> |Part|Question|
> |:---|:-------|
> |A|9 multiple choice|
> |B|10 Short Answer --> <br>- 7 Knowledge questions<br>- 30 Application Questions|
> |C|10 Open Response --> <br>- 10 Knowledge Questions<br>- 5 Application Questions<br>- 3 Thinking Questions<br>- 1 Communication Question|
# Essential Skills (1)
> ## Simple Arithmetics
>> ### Addition / Subtraction
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>>> Some examples include the following: 5.4 x 10<sup>3</sup>, 3.0 x 10<sup>2</sup>, and 4.56 x 10<sup>-4</sup>.
>>> When the number is smaller than 1, a negative exponent is used, when the number is bigger than 10, a positve exponent is used
>>> <img src="https://embedwistia-a.akamaihd.net/deliveries/d2de1eb00bafe7ca3a2d00349db23a4117a8f3b8.jpg?image_crop_resized=960x600" width="500">
>>> <img src="https://embedwistia-a.akamaihd.net/deliveries/d2de1eb00bafe7ca3a2d00349db23a4117a8f3b8.jpg?image_crop_resized=960x600" width="500">
>>> **Remember**: For scientific notation, round to ```3 significant``` digits
>> ## Rates, Ratio and Percent
>>> ```Ratio```: A comparison of quantities with the same unit. These are to be reduced to lowest terms.
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> ```Linear Relation```: A relation which a single straight line can be drawn through every data point and the first differences are constant
> ```Non - Linear Relation```: A single smooth curve can be drawn through every data point and the first differences are not constant
> ## Slope and Equation of Line
>> ```Slope```: The measure of the steepness of a line - ```rise / run``` or ```rate of change y / rate of change x```
>> ```Slope```: The measure of the steepness of a line - ```rise / run``` or ```the rate of change```
>> ```Slope Formula```: **m = (y<sub>2</sub>-y<sub>1</sub>)/(x<sub>2</sub>-x<sub>1</sub>)**
>> ```Standard Form```: **ax + by + c = 0**, a&isin;Z, b&isin;Z, c&isin;Z (must be integers and ```a``` must be positive)
>> ```Y-intercept Form```: **y = mx + b**
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>>| y | x |First Difference|
>>|:--|:--|:---------------|
>>|-1|-2|1|
>>|0|-1|1|
>>|1|0|1|
>>|2|1|1|
>>|3|2|1|
>>|4|3|1|
>>|-1|-2|.....|
>>|0|-1|(-1)-(-2) = 1|
>>|1|0|0 - (-1) = 1|
>>|2|1|1 - 0 = 1|
>>|3|2|2 - 1 = 1|
>>|4|3|3 - 2 = 1|
> ## Tips
>> Label your graph correctly, the scales/scaling and always the ```independent variable``` on the ```x-axis``` and the ```dependent variable``` on ```y-axis```