Laws
This is a law that switches the order without switching the answer, e.g. 3x+5 = 5x+3.
What is The Commutative Property?
To solve these, you isolate the variables by doing the opposite operations on both sides of these expressions with signs and symbols.
What are equations and inequalities?
When multiplying these with the same base, we add them.
What are exponents?
This ratio measures how steep a line is and m= d-b/c-a is the easiest formula to type in order to evaluate this relationship.
What is slope?
This is the answer to 4x=8.
What is x=2?
This law requires multiplying everything inside of the parentheses by everything outside of the parentheses or vice versa.
What is The Distributive Property?
Factoring by taking out the largest shared terms and then putting everything back inside of the parentheses is the easiest way to simplify linear, quadratic, and these expressions with a degree of at least three.
What are polynomials?
When dividing exponents with the same base, we do this to the powers.
What is subtract them?
This ratio simplifies to 1:4 after dividing both numbers by 2.
What is 2:8?
This is the answer to 3x<9.
What is x<3?
An example of this Property includes but is not limited to 4×1=4.
What Is The Mutiplicative Identity Property?
In addition to factoring, canceling out any like terms and then simplifying until the term collections are in their basic forms is the easiest way to break down these polynomial fractions.
What are rational expressions?
This is the answer to x^5/x^3.
What is x^2?
This is the formula for direct variation, a ratio in which y is directly proportional to x and k is the constant of the variation.
What is y=kx?
This is the answer to 5x>15.
What is x>3?
This property states that polynomials, or collections of many terms, are closed under three of the four basic math functions.
What is The Closure Property?
To solve these, you can replace what is unknown with what is known or defined or you can add up the expressions with equal signs as long as at least one variable cancels out.
What are systems of equations?
This is the answer to a^3*a^6.
What is a^9?
The formula for this ratio is hypothesis/adjacent and this is really a line that intersects, or crosses a circle in two points.
What is secant?
This is the answer to the system x+y = 6 when y=3.
What is (3,3)?
An example of this Property includes but is not limited to 4+0=4.
What is The Additive Property of Zero?
To evaluate these, you can replace what is unknown with what's given and then simplify until the relation with one y-value per x-value is in its most basic form.
What are functions?
This is the answer to s^11/s^5.
What is s^6?
The formula for this ratio is opposite/adjacent and this is really a line that has only one point of intersection.
What is tangent?
This is the answer to x/2 = 12.
What is x=24?