Radical Equations
sqrt(x+1)=5
x=24, real
6x – 13 = 11
x= 4
Solving Equations
4x + 3 = 7
x = 1
Solving Equations
x - 2 = 6
x = 8
How many operations does a one step equation have?
What is the 4 Basic Operations?
Add, Subtract, Multiply and Divide
What is Ms. Bircsak's first name?
Christina
sqrt(5x)=-5
x=5, extraneous
3x + 5 = 14
x= 3
Solving Equations
4 + 5x = 29
x = 5
Solving Equations
-5p + 1 = 6
p = -1
When solving a two step equation how many terms are usually on the same side?
Two
In order to solve an equation what must you do to the operation to collect like terms?
The inverse or opposite
What college did Ms. Bircsak go to? What did she major in?
University of Maryland, majored in math
-2sqrt(x+4)=16
x= 60, extraneous
x/2 + 13 =-8
x= -42
Solving Equations
-45 = x + 4
x = -7
Solving Equations
2n+10 = 4
n = 2
Which of these are a multi step equation?
4x+3=11
-4x+2-7
5(y+2/5)=-13
4m+7m
5(y+2/5)=-13
Name the 3 types of equations we have covered in class.
One, Two, and Multi step equations and/or Quadratic equations
What is Ms. Bircsak's favorite color?
Yellow
sqrt(4x+16)=4
x=0, real
x/2 + 5 =10
x= 10
Solving Equations
14 = (3a + 6) + 2
a=2
Solving Equations
5(m-3) = 4
m = 19/5
How many solutions do most Quadratic equations have?
Give an example.
Two - a positive and a negative
Example
When solving an equation what Procedure do you do in reverse?
Order of Operations or BODMAS
Who is Ms. Bircsak's football team?
Patriots
2sqrt(2x+4)-12=-30
x=77/2, extraneous
x/3 - 6 = -3
x= 9
Solving Equations
-21 = 7(5k - 8)
k = 1
Solving Equations
3(𝑥 − 9) = −3
x = 8
What rule is ALWAYS applied when solving equations?
Golden Rule of Algebra or what you do to one side, you do to the other side.
When solving something like 3(x -2) = 12
what step do you do first?
Expand the brackets
What sport did Ms. Bircsak play?