## Sunday, March 17, 2013

### Braeden's Algebra Unproject

I will show you how to solve and verify a two-step equation, show how to model, show Distributive Property.

First let's try a Two-Step Equation.

Ex. 2x + 4 = 4

But first, let's write some facts about those numbers first.

This Number 2 in 2x is called a Coefficient. The Coefficient is by the letter, which is called a Variable. The Variable represents an unknown number. We won't know the number until after we solve the equation. The Coefficient is a letter that is used to multiply a variable. You can cancel it by using the opposite integer. The Constant is the factor of the Equation that never changes.

2x + 4-4 = 4-4 = 2x = 0 so x = 0.

Now we verify.
2x + 4 = 4
2(0) + 4 = 4
0 + 4 = 4
4 = 4

Now I will show how to divide with fractions in algebra.

Let's list some points down first.

• Isolate
• Cancel the constant with a zero pair
• Balance
• Cancel, divide with multiply
• Balance again
• Simplify
• Verify
Ex. x/4 + 5 = 10
x/4 + 5 - 5 = 10 - 5
5x  = 5
4
x = 20
x/4 + 5 = 10
20/4 + 5 = 10
5 + 5 = 10
10 = 10

Now let's try Distributive Property.

2 (x + 3) = 10

2 groups of x + 3 = 10
x + 3
x + 3
2x + 6 = 10

Now you solve it using two step equation.

2x + 6 - 6 = 10 - 6 = 2x = 4 Divided by 2
x = 2
Now Verify.
2x + 6 = 10
2(2) + 6 = 10
4 + 6 = 10
10 = 10

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