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Week 16- Math 10 – Solving Systems

Kiana on January 10, 2025January 10, 2025

To solve a system using substitution:

step 1: choose the most simple equation and isolate a variable on one side
step 2: insert this equation into the second euquation and solve for the variable
step 3: with the answer to this question you insert it into either one of the original equations and solve for the variable again
step 4: check your answer by inserting the variable answers into each equation

ex:

Aperçu de l’image

Kiana on November 14, 2024

Equation for patterns

to make an equation for a pattern you need to:
1. make an output and input chart for the pattern
2. find the difference in the output numbers and start the euquation by forming: differencex
3. times the difference by the input number and then subtract or minus to find the final part of the euqtion
(photo will explain better)

ex:

Kiana on November 14, 2024

exponent laws

like terms— exponent stays the same but you add the coeffecient
multiplying bases— multilply bases, add exponents
dividing basas— subtract exponent, divide coefficient.
zero exponent— equals to one
negative exponent— to make a negative exponenet a possitive exponent find the reciprocal.
exponents with brackets— mulitiply exponents, power coeffitionts and constants

Kiana on November 5, 2024

Factoring Polynomionals

to factor trinomionals you must look at the constant and list number that multiply to that constant
choose the pair that adds to the term before it and then factor them

ex:

Taking too long?

Reload document

Kiana on November 1, 2024

Kiana on October 21, 2024

finding the GCF of polynomionals

Kiana on October 15, 2024

area of a rectangle:

to find the area of a rectangle i like to use shapes to figure out my answer
1. make the square diagram by laying out the length and width sqares in the correct placing
2. draw a line across for each point
3. find the answer

ex:

Kiana on October 1, 2024

Naming sides of a triangle:

In a triangle there are three types of sides: Hypotenuse, opposite and adjacent. Naming these sides can help you find different ratios and can help with the equations of those ratios so its very important to identify these sides every time.
an example of how to find the hypotenuse is you find the square in the corner and whatever side is opposite to that square is the hypotenuse.
An example of how to find the opposite side is that the opposite side is always opposite to the degree sign.
Whatever side is left is always the adjacent side.

Kiana on October 6, 2023

For my summary assignment I decided to show how to divide fractions

1. keep the first fraction the the same and flip the numerators and denominator of the second fraction.

2. cross simplify the fractions.

3. Multiply the fractions.

see the example.