Scribe Post, Amelia 22/7

Today in class we went over how to solve different kinds of linear equations, equations with distributive property, linear equations with decimals and linear equations with fractions. We also went over the steps used to solve the linear equations and did lots of examples. At the end of class we did a daily quiz. Todays class helped me to understand solving linear equations with fractions because I had forgotten how to do that.
The steps to solving a linear equation
1. If there are any frations or decimals the first thing you do is clear the fractions or decimals.
2. distribute
3. group like terms
4. combine like terms
5. Isolate variable
6. check
Other Important things to do
What you do to one side of the equation you must do to the other side of the euqation.
Solving Equations with Distriburive Property
Example:
2(k-5)+3k=k+6
2k-10+3k=k+6 Distribute
5k-10=k+6 Group like terms
5k-10-k= k+6-k What you do to one side of the equation you must do to the other side.
4k-10=6 Combine like terms
4k-10+10=6+10 What you do to one side of the equation you must do to the other side.
4k=16 Combine like terms
4k/4=16/4 Isolate variables
k=4
Check by plugging back into the equation
2(4-5)+3(4)=4+6
2(-1)=12=10
10=10
True
K=4
Solving Linear Equations with Decimals
Because each decimal number is in the hundreths, multiply each side of the equation by 100.
.06x+.09(15-x)=.07(15)
100(.06x+.09(15-x)=.07(15))100 Multiply by 1oo
6x+9(15-x)=7(15) Distribute
6x+135-9x=105
-3x+135=105 Group like terms
-3x+135-135=105-135 What you do to one side of the equation you must do to the other
-3x=-30 Combine like terms
-3x/-3=-30/-3 Isolate variable
x=10
Check by plugging back into the equation
.06(10)+.09(15-10)=.07(15)
.06(10)+.09(5)=.07(15)
.6+.45=1.05
1.05=1.05
True
x=10
Solving Linear Equations with Fractions
2p/7-p/2=-3
14(2p/7-p/2=-3)14 Elemanate the fractions
14/1(2p/7)-14/1(p/2)=14/1(-3/1) Distribute
28p/7-14p/2=-42
4p-7p=-42 Combine like terms
p=14
Check by plugging the number back into the equation
2(14)/7-14/2=3
2(20/1-14/2=3)2
8/2-14/2=-3
-6/2=-3
-3=-3
True
p=14
The next scribe will be Christine