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=Topic 1: Algebraic Expressions= Algebraic expressions are expressions that have at least one variable and at least one operation. Algebraic expressions can have any amount of variables and any amount of operations. But there needs to be one of each. If there is 2 variables but no operation, it wouldn’t be an algebraic expression. Vice versa. Algebraic expression can contain non-variables (regular numbers), parentheses, exponents and almost any number. Here are examples of algebraic expressions. In algebraic expressions, you need to figure out the unknown value of the variable. Let’s take the first problem for example, 5 times something equals 20. Well, we can do division. 20 divide by 5 equals 4. So now we can complete the problem. 5 x 4 = 20.

Examples of an Algebraic Expression

 * 5 × n = 20
 * 9y = 27
 * 7 ÷ x = 3.5
 * 2 + b = 5
 * 16 - c = 8
 * 7 x 7 + (4 x n) = 65
 * 3^3 + 7 x q = 64 (The number 3^3 means 3 to the third power or exponents)
 * b + y x 9 = 79

Examples of Algebraic Phrases

 * Multiplication (5 groups of a number, the product of 5 and a number, 5 times a number)
 * Division (the quotient of a number, 5 divide by a number)
 * Addition (5 added to a number, a number increased by 5, the sum of 5 and a number, 5 plus a number)
 * Subtraction (a number decreased by 5, a number minus 5, the difference of 5 and a number)

Variables
Variables are letters that represent unknown quantities that may change according to the mathematic problem. Common usages of variables are x, y and z. A variable by a number like 5x has a special name. The number 5 in “5x” is the coefficient. The letter x in “5x” is the variable. 5x means 5 times x. Think of a number right next to a letter as a multiplication problem. Let’s use the problem “5n + 9 = 39”. Let’s say we have to solve for n. We have to think of a number that will be multiplied by 5 and added by 9 to equal 39. Here is how I will solve it. First I will subtract 9 from 39. That will leave me with 30. Then I will find the quotient of 30 and 5. That will be 6. So my answer to the question is “n = 6” If I had an expression “7 + x” I can change the value of the variable. For example, if the value of the x is 9. The expression would equal 16. If x equals 6, the expression would equal 13.

Operations
“In mathematics, an operation is a function which takes zero or more input values to a well-defined output value.” For example, in the expression “9 x 10” the operation would be multiplying. But in math, if there is more than 1 operation in an expression we don’t do problems left to right, we do it a order called “Order of Operations.” Let’s say for example, the problem “9 + 15 - 9 x 2.” In math, we figure out the order of operations by using our friendly little guy “PEMDAS” Here is the list of the order.


 * 1) Parentheses
 * 2) Exponents
 * 3) Multiply
 * 4) Divide
 * Add
 * 1) Subtract

First in the problem, we solve what’s in the parentheses first. There is not parentheses in the problem so we move on to the next one. Exponents are next. In the problem, there are no exponents but there is multiplication. So first we solve for 9 x 2, which is 18. Now our problem is “9 + 15 - 18.” Now, since there is no multiplication left. We move on to division, well there is no division so we move on to the 5th one. Which is adding, so now we are going to do ”9 + 15” which is 24. Now for our last and final step. Subtraction. 24 - 18 = 6. So our final answer was 6. There is a problem with “Order of Operations.” If the problem is “9 - 6 + 7,” we do subtracting first. When ever the subtracting is in front of adding. You will do subtracting. Same goes for multiplying and dividing. If dividing is in front of multiplying. Divide first. So the answer for the problem “9 - 6 + 7” would be 10, not -4. So now you know, if adding and subtracting (or multiplying and dividing) are the last 2 steps. Go from left to right. The normal way you read in your English class.

Test
There is a test about this Wikipedia to review and check what you know from this Wikipedia. It is on Google Forms and you need a score of 80% or above (8 questions right) to pass. All the questions will be from this Wikipedia and prior knowledge. If you press on the Google Forms link. (Press the blue Google Forms link) you will be able to complete it. Good luck.

=Topic 2: Grades=

How are Grades calculated?
Grades are calculated by the average of your assignments that you do. Let’s say you get a 90 on your test, but then you get 100 on your class work. Your grade would be 95 because you find the average of the two assignments. Whenever you get a assignment with a better grade than your overall class average grade. Your grade will ALWAYS stay the same or go up, never will it go down. If you get a assignment with a grade BELOW the overall class average grade. Your grade will ALWAYS stay the same or go down, never go up. You can find the average of anything with simple calculations. Let’s stick to grades this time. All you will need is a paper (or a calculator but I wouldn’t suggest that because that is cheating.)

Grade Calculations
“Yes, NotYourUsualWikiUser, I know how grades are calculated but I want to know how to calculate grades.” Well, it’s pretty simple. First you are going to get the grades of all of your assignments. 72, 96, 100, 92. Now, add them all together. 360. So now, you are going to divide the sum of your assignment’s grade by how many assignments you have. So 360 ÷ 4 = 90. My class grade would be a 90. That’s how you find the average of all your assignments.

Weighted Grade Calculations
“Yes, NotYourUsualWikiUser, I know how to calculate my grades but I want to calculate my weighted grades.” Weighted grades. Weighted grades are grades that take up part of your overall grade. Let’s say your test was 20% of your grade and your class works and projects are 80%. That is weighted grades. Well, this is a bit difficult. Let’s say we have 95 in “Classwork” which is 35%. 92 in “Projects which is 45%. And 100 in your a final Unit Assessment which is worth 20%. First you would multiply your grades and weights together and add them together with your other weighted grades. (20 × 100) + (95 × 35) + (92 × 45) = 9462. Then you divide the sum by 100. They would be 94.62. Your class average grade would be 94.62 (or 95 if rounded.)

Regular Grade Calculations
Here are the steps to follow when you are doing grade calculations without weight. You can remember these steps by remembering “ADR” Add Divide Round.
 * 1) Add the numbers together. (75 + 80 + 100 = 255)
 * 2) Divide the sum by how many numbers there is. (255 ÷ 3 = 85)
 * 3) Round the grade to the nearest whole number. (85 -> 85) (95.77 -> 96)

Weighted Grade Calculations
Here are the steps to follow when you are doing grade calculations with weight.
 * 1) Multiply the weight of the grade by the grade you have. (85 × 35 = 3080)
 * 2) Repeat that until you’ve done all the weighted grades. (90 × 50 = 4500) (95 × 15 = 1425)
 * 3) Add the products of the weighted grades. (2975 + 4500 + 1425 = 8900)
 * 4) Divide the sum by 100. (8900 ÷ 100 = 89)
 * 5) Round to the nearest whole number. (89 -> 89)

Test
Why do I hear booing? The test is the best part! Before you begin the test, I need to state a few things. When you go to the test, hit the timed box. These problems are complex so you can not be timed if you want. Some problems are easy and quick so it wouldn’t take a lot. Some of the problems you need to focus. Here is a tip, w = weight and g = grade. So for example (W = 20% G = 100) would mean 20% of your grade is 100. (W = 80% G = 90) and (W = 20% G = 100) would be 92, A. Here is the Quizizz test, and I’m sure you know, 80% or above is a pass.