Variable on One Side
2x+30=56
x=13
3x+2=2x+5
x=3
When we have 2/5x=20, we get x by itself by multiplying both sides by the ___ of 2/5
reciprocal!
-4x+2= 1-4x+1
Infinitely Many Solutions
x2=25
x=__
+ or - 5
3(x-1)+4x=11
x=2
2(x+4)=x+4+5x
x=1
When I have variables on both sides, which one do I move?
The smaller one!
5x=0
One solution; x=0
The square root of 41 is what kind of number?
Irrational
1/2x+4=12
x= 16
3x+20-x=4x+80
x=-30
What is the first step we do when we do inverse operations?
Add/Subtract!
4(x+6)=2(x+3)+2x
No Solution
4pi/2pi= ____
2
12 − 8y(1 − 2) = 92
y=10
−12+v = 2 + 6v + 2v
v=-2
If the area of the rectangle is 24 and the length is x and the with is x+2, then what is the length and width of the rectangle?
4 X 6
3=-3
No Solution
0.033333... as a fraction is ____
3/90 or 1/30
12(4 + m) − 6(8 − m) = 72
m=4
6(6v + 6) − 5 = 1 + 6v
Write an equation to represent the following scenario: Planet Fitness charges a $60 membership fee with a $10 monthly rate. LA Fitness charges a $15 membership fee and a $25 monthly rate.
At how many months would they be the same price?
60+10x=15+25x
x=3
25-4x-1= 8x-12
One Solution; x=3
37/30