inequalities
how many inequality signs are there?
4
less than, greater than, less than or equal to, greater than or equal to
What is the difference between
2x and x^2
Two rectangular x tiles verses one squared x tile
What symbol indicates that we need to simplify there first?
What is parenthesis
Simplify
6(n+3)
6n+18
Solve
-2=(x-1)/2
x=-3
If a question asks you to shade the solution to b<5 which way should you shade?
What is the left
What comes first in simplifying expressions, parenthesis or multiplication?
What is parenthesis
Name at least 4 legal moves
Remove or add balanced sets
Multiply both sides
Divide both sides
Simplify -(y^2)-3xy
using x=-4, y=2
20
Solve
-2>(x-1)/2
-3>x
or
x<-3
what is the difference between equations and inequalities?
Equations have one solution and inequalities have many solutions
Why do we save division for last when solving equations or inequalities?
Because we have to divide everybody and it ensures we have the variable on one side ahead of dividing
What symbols indicate that we should "flip" certain tiles to the "positive region"?
- ( ). OR. Subtraction outside parentheses
Simplify a(b^2)+c
using a=2, b=4, c=7
39
Solve
2b-5>-5
b>0
or
0<b
When do you use a closed circle when graphing the solution to an inequality on a number line?
When the boundary or number is included in the solution.
What is different about solving an equation or inequality that has the variable on one side vs both sides?
Variable on both sides needs you to move all variables to one side.
what do you do if there is multiplication and division on the same side?
solve the multiplication first
Simplify
(2x+1)(-8)+3x
-13x-8
or
-8-13x
Solve
4+(1/3)x>12
x>24
or
24<x