Math Rules
Vocabulary
Inequalities
Graphing Inequalities
Equations
100
A Negative Multiplied or Divided by a Negative Equals a ______.
Positive
100
Difference means you ____.
Subtract
100
x-3 > -15
x > -12
100
m < -5
100
−17x = −204
x = 12
200
When subtracting two negatives you ______.
Ex: -4 - 6 =
Keep the negative sign and add the integers/variables.
Ex: -4 - 6 = -10
200
Quotient
Division
200
4x ≤ 28
x ≤ 7
200
x ≥ 2
200
−16 + x = −15
x = 1
300
When Adding or Subtracting Two Values when one is Positive and one is Negative you ________.
Ex: -9 + 4 =
Subtract (take the difference) and Keep the Sign of the Biggest Number.
Ex: -9 + 4 = -5
300
Difference between Expressions and Equations?
Both can have Variables, Numbers, and Math Operations, but Equations have a Solution, Expressions can only be Simplified.
300
5x - 3 ≥ 48
x ≥ 9
300
-3x > 3
x < -1
300
−10 = 10(k − 9)
x = 8
400
The Inverse of a number always equals _____.
Ex: Inverse of -1 =
Zero!
Ex: Inverse of -1 = 1
( -1 + 1 = 0)
400
Factor
A number that goes into (divides into) another number evenly with no remainder.
400
56 - 3x ≤ -7 + 4x
x ≥ 8
400
-4(-4 + x) ≥ 56
x ≤ -10
400
p − 1 = 5 p + 3p − 8
x = 1
500
The Reciprocal of a number always equals ______.
Ex: Reciprocal of -9.789 =
One!
Ex: Reciprocal of -9.789 = - 1/9.789
(-9.789 x -1/9.789 = 1)
500
Difference between Equations and Inequalities?
Equations have one to three possible solutions, Inequalities have a RANGE of solutions.
500
6 - 4(6n + 7) ≥ 122
n ≤ -6
500
28 - k ≥ 7(k - 4)
k ≤ 7
500
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x = -5