Upload
katherine-thompson
View
226
Download
0
Tags:
Embed Size (px)
Citation preview
Algebra 1: Solving Equations with variables on BOTH sides
Do Now
Solve the following equations:
2x+5=88x+2x+5=102x+3=5x16 – x = 12 – 3x
Do Now Answers:
2x+5=8Answer: x = 3/2
8x+2x+5=10Answer: x = 1/2
2x+3=5xAnswer: x = 1
16 – x = 12 – 3xAnswer: x = -2
Equations vs. Expressions
What’s the difference?
Expressions vs. Equations
Equations: Have an equals sign! They can be solved.
Examples: y+2=x
5+x=9
Expressions: Do not have an equals sign. They can only be simplified.
Examples: 2x+3y
5y+2y+8
Solving Equations
Steps:Simplify the left side of the equation
Simplify the right side of the equation
CLT (Combine Like Terms)
Solve!
Example 1:
2x + 4x + 4 + 6 = 12 + 3x + 5x + 14
Checking Solutions
You can easily determine whether you are right by substituting your solution back into the original equation!
We got x = - 8. So let’s see if it works!
2x + 4x + 4 + 6 = 12 + 3x + 5x + 14
4x + x + 2 = 5x – 4 + 6
Example 2:
WHAT?!?!?!
We Got that x = x. So what is our solution?!?!
Example 3:
x + 4x + 2 + x = 6x
WHAT?!?!?!
We got 0 = 2?
What’s the solution to this problem?
Notice…..
Equations can have three types of answers:
One Solution
Infinitely Many Solutions
No Solutions
Practice
Try some on your own!
Exit Ticket
Solve the following problem– how many solutions does it have?
x + x + x + 3x + 8 + (2 * 6) + (22)= 5x + 2 * 6