### »» charmaine's growing post # 3

**Question # 1 : What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.**

In Algebra Expression is when the variable is a number and given and in Algebra Equation, the variable is given as a letter. It's when you try to solve for the variable.

*Example:*

**Algebraic Expression**

8 + 2 (3)

8 + 6 = 14

**Equation**

8 + 2(a)

8 + 2(3)

8 + 6 = 14

**Question # 2 : What is a variable and why do we use one in algebra?**

A variable is an unknown quantity that we are trying to solve for. It is also represented by a letter. We use variables so we can find what the letter stands for.

**Question # 3 : Solve for N**

*How to solve this:**- *First, you subtract 9 by 4 because the two squares are equal to 4. So you'll get 5 as the answer. So now you know what the triangle is equal to. Now, add 12 and 10 together because there's 5 squares and two triangles. 2 + 2 + 2 + 2 + 2+ 5 + 5 = 22. Last is, divide 22 by 2. 2 because there's two N's. **the answer is - 11****Question # 4 : Solve the following equations. Show all of the steps that are needed.***a.) 3. + 4n + 7 = 2n + 12*

7n + 7 = 2n + 12

7n - 2n + 7 = 2n - 2n = 12

5n + 7 = 12

5n + 7 - 7 = 12 - 7

5n = 5

5n/5 = 5/5

**n = 1**

*b.) 8n - (4 + 9) = 11*

8n - 13 = 11

8n - 13 + 13 = 11 + 13

8n = 24

8n/8 = 24/8

1n = 3

**n = 3**

*c.) (8 - 3)n + 7n + 8 = 4n + 40 *

5n + 7n + 8 = 4n + 40

5n + 7n + 8 - 8 = 4n + 40 - 40

5n + 7n = 4n

12n = 4n

12 = 4n

12/4 = 4n/4

**3 = n****Question # 5 : For this question you need to create a T-chart and a graph to plot your data from this question onto.****You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you will be faster so your friend gives you a head start of 3 minute. If you can run 400m per minute, and your friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?**

YOU will be the first one to finish the race (:

## 3 Comments:

So far it looks great. I just think that you need a bit more clarification between an expression and an equation. remember that an expression we can chose what the value of the variable is ie n = 5 or 10 or 2200 etc. For an equation we are solving for a single value for the variable.

hey mr.reece ! , i'm now completed my growing post.. i made some corrections too.

you have a problem with 3c. You still didn't get the difference between an expression and equation. An expression would be 3 +2b there is no = sign in an expression as the value of b can be anything. For an equation it would be 3 + 2c =9, therefore c =3. There is equality, so the variable c can have only one answer. Your mark is 25/30

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