This week in Math 10 we were introduced to polynomials, but only reviewed what we were taught in grade 9. Some things I remember are models, degrees, types, and distributive property,

Example: 5(8x – 3y) + 2(4y + x)

Step 1: Multiply 5 by 8x and then again with -3y

Ex. 40x – 15y + 2(4y + x)

Step 2: Mutiply 2 by 4y and then again with x

Ex. 40x – 15y + 8y + 2x

Step 3: Collect like terms. Add 2x to 40x and add 8y to -15y

Ex. 42x – 7y

FInal Answer- 42x – 7y

This week in Math 10 we learned trigonometry and other aspects such as finding missing side lengths using trig.

Step 1: first step to any trig equation is to label all the sides and make sure theres a number on the inside and outside unless it wouldn’t work to use trig.

Step 2: Find out which variables you are given and figure out which side they belong to (ex. hypotenuse, opposite, or adjacent)

Step 3: Use the equation ratio= side 1 divided by side 2

Step 4: If the variable is on the bottom, reciprocate both sides of the equation

Step 5: Since we want to isolate x, multiply the bottom of the fraction with x and multiply it to both sides.

Step 6: Solve

FInal Answer: x = 2.6

This week I learned about conversion between the SI system and conversion between the Imperial System.

First step to convert between the imperial system is take 75 inches and put it over one.

Step 2: Take a conversion of inches to feet which would be either 12inches over 1foot or 1foot over 12 inches. I chose 1foot over 12 inches because the inches were diagonal from each other

Step 3: Cross out the inches because the two cancel each other out being diagonal from each other.

Step 4: Finish the equation which left me with 75 over 12 and divide 75 with 12 and the answer is 6.25.

6 will be the number of feet.

Step 5: Take .25ft and put that over one and this time multiply it by 12 inches over 1 foot because the feet have to be diagonal from each other.

Step 6: Cross out the ft because they cancel each other out

Step 7: Finish the equation which left me with 3 inches

Final Answer: 6feet 3inches

This week I learned how to deal with fraction exponents. More specifically I learned how to turn fraction exponents into radicals and solve. 

Step 1- to convert from a fraction to a radical you have to take the base which is 81 in this example and put it as the radicant.

Step 2- take the denominator of the fraction and put it as the index which is 4 in this case

Step 3- take the numerator of the fraction and put it as the exponent attached to the radicant.

Step 4- to solve find the 4th square root of 81 which is 3 because 3x3x3x3=81

Step 5- Now 3 still has the 3 exponent attached to it so now 3 to the power of 3 is 27 and that is the final answer.

When converting radicals into single powers you take the radicant 81 and take it out of the radical. Then put the index as the denominator and the exponent as the numerator of the fraction exponent.