Equations
Inequalities: One Step
Inequalities: Multi Step
Helpful Tips
Pot Pourri
100
x+4=12
x = 8
100
x-3 ＞ -11
x＞ -8
100
(x + 10) / 3 ≥= 3
x≥-1
100
What's the Helpful Tip - Integers:
Adding a Negative with a Negative.
Example:
(-2)+(-3)=
The Negative gets bigger.
Ex. The Temperature is (-4) and will go down 5 more degrees tomorrow.
100
What's the next step?
x + 5=8
Subtract 5
200
x/-3=6
-18
200
-5x<-35
x＞-7
200
-6 ≤ -4 + (x / 7)
-14≤x
200
Whats the Helpful Tip - Integers:
Subtracting a Negative with a Negative.
Example:
(-5)-(-3)=
The second negative number becomes positive. Then becomes a subtraction sentence, where you take the sign of the bigger number.
200
What's the number line, when the variable is v
v is less than or equal to -12
300
-3+2x=7
x = -5
300
v/5≥-4/5
v≥-4
300
5.7 x + 8.2 < -5.48
x <2.4
300
Helpful Tip Graphing:
Name All Three for the following symbols
= , 
, 
= solid dot, no shade
open circle, shade
solid dot, shade
300
Not a Helpful Tip, but whats the graph saying using the variable, v .
v is greater than -7
400
2(x-3)=16
x = 11
400
x-1≥4/9
x≥13/9
400
4 (2n - 7) ≥ -92
n ≥-8
400
When do the linear inequalities flip?
When we divide or multiply by a negative number.
400
What's the next step:
Flip the Sign.
500
1.2n + 5.5 = -3.78 - 1.7n
n = -3.2
500
a/2.3＞-0.9
a＞-2.07
500
7n - 40 < 8 + 5(6n - 5)
n > -1
500
If x < 12 ; what does the less than symbol tell us.
It tells us the where to shade.
ONLY APPLIES WHEN x is on the left side of the inequality.
500
DAILY DOUBLE:
What's the next step:
Name Two Different Ways
1. Move the variable numbers to one side
2. Move the non-variable numbers to one side.
Mr. Kraus's Tip: Start with the variables.