Algebra Notes

Equation-mathematical statement with two expressions that have the same value eg.
x + 2 = 3
y - 7 = (-4)
3a - 2 = a + 2
b = 4
Here's an example of an equation we had to model

Model: 8 times a number plus 4 is 12

Answer: 8n + 4 = 12


Here's an equation we got and we had to identify, the variable, the numerical coefficient, an the constant

5y - 6 = 19

Variable- Y
Numercial Coefficient- 5
Constant- 6

Opposite Opperations ( /- means divide)

+ , -
x , /
- , +
/ , x

Here are examples of how to solve an algebra equation

After you find out what the variable is re-write it again

Please comment

Subtracting Fractions with Like Denominators

Subtracting Fractions with Like Denominators

When subtracting fractions its like adding fractions but insted you subtract the numerator NOT the denominator.

Here is an example we did in class...

And you see that the denominator did not change.

Here is an example of subtracting decimals but using pictures....

Here are some of the homework questions.....

That is how to subtract decimals and remember don't ever change the denominator when adding or subtracting decimals.

Answer to Jomel's Question

Jomel's question: What is the probability of hitting green



My Answer: 4 favourable outcomes and 8 possible outcomes - 4/8 = 1/2 , 1:2 , 50%

Probability Question

Bob has a box of smarties and there are 15 smarties in them. There are 5 blue ones, 3 red ones, 1 purple one, 4 green ones, and 2 pink ones. Bob puts each colour in a pile around a spinner. Choose one of the 5 colours and find the probability of the spinner hitting that colour.

Fractions, Decimals, and Percents

Before you do anything with fractions, decimals, and percents you should know what they mean....


Fraction- out of any whole number








Decimal- out of 1





Percent- out of 100

Loading Strips

Loading Strips- used to answer questions like
50% of 20




Here is an example how to use a loading strip.....

50% of 20

That is one way how to find and answer besides using the loading srtip......USING A RATIO TABLE!!!!!!!!!!!!

A ratio table is like a loading strip but sideways.

__%_____I_____#__
I
I
I
I
I
I

Here is a way how to find 15 of 64 using ratio table.......

Sorry I couldn't a video about both raito tables and loading strips

Order of Operations

B-Bracets ( )
E-Exponents a2
D-Division------->in order from left to right
M-Multiplcation--^
A-Addition------->in order from left to right
S-Subtraction------^

Here is one of the examples we did in class


These are some questions on, Order of Operations.

1. Anne has been asked to calculate 1.7 + 6 / 2. She claims her answer is 3.85. Do you you agree? Explain why or why not.

A. I do not agree with Anne, because she didn't use BEDMAS. If she did use it her answer would be 4.7.

2. Put bracets in the following expression to get the largest possible value. What problem solving strategy did you use? 3 x 2.8 + 6.4 / 4

A. I would put the bracets here, (3 x 2.8) +6.4 / 4. The strategy I used was that I saw there was multiplcation and I know if you multiply you can get a higher answer. Then I multiplied 3 x 2.8 and I got, 8.4.

3. Create a problem that could be solved using the following expression. 2.5 + 1.25 + 5 x 1.6.

A. John wants to buy a tool for work that is $11.75. But John notices he only has $2.50 in his wallet. Then John goes home and finds $1.25 in his piggy-bank. But he is still $8.00 short! So he decides to have a quick garage sale with 5 things in it that costs $1.60 each. At the end of the day all 5 items were sold and he got his $8.00. Then he goes to the store and buys that tool.

Game: game link

Video: video link (wouldn't let me put it on)

Please Comment

Test Corrections for Question 13

Question: 21) Describe the type of transformation needed in each of the following

c) bicycle chain moving ____________

Answer: Translation

Here is a picture of a translation that I made...

Sorry there isn't a video, but click the link to watch it