As our math midterm is getting near, this week has been a review week which has been a great refresher for my memory. It was good and bad to know that I’ve forgotten a lot of things. But it’s a good thing to reflect to when studying!

Not much was learned, but rather a lot of refreshers. Here are some of them:

I wouldn’t go into much details about them all as I’ve posted them already in my edublog, but I would do some examples. Here are the links to the blog posts:

• absolute values
• arithmetic sequence
• adding/subtracting radicals

 

Absolute Values:

• how far away a number from zero is in a number line.
• 
• The answer will always be positive inside the absolute value sign ” | | “
• Can act like a parenthesis.

Examples:

| 5 – 7 |

= | -2 |

= 2

 

-|-4|

= – | 4

= -4

 

Arithmetic Sequence:

• A sequence of numbers that are added or subtracted by the same value.
• Addition of a number sequence. E.g. 1 + 2 + 3 + 4 + 5 + 6….
• 
• 
• n = the number/amount of terms you’re calculating
• a = the first term
• tn = last term
• d = common difference

Example:

2 + 5 + 8 + 11…

n = 20

a = 2

 

Since we don’t have tn, we’ll be using the second formula.

 

Adding and Subtracting Radicals

• add/subtract radicals with the same index and radicand.
• Simplify if possible.
• 
• n is index, and x is radicand.
• Never add radicand and index. Just add the number outside of the radical.

Examples:

can be added because they have the same index and radicand…

 

is simplified to as…

can’t be subtracted because although they have the same radicand, they don’t have the same index..