Introduction to Inequalities and Solution Sets
Inequality statements are defined, solution sets explained, the use of a number line demonstrated, and the less than and greater than symbols illustrated.
Introduction to Linear Equations with Two Variables
Linear equations with two variables have an infinite number of solutions.
Introduction to Right Triangles
A right triangle is a triangle that has one right, or 90 degree, angle in it. A right triangle has two perpendicular sides called legs, and a side opposite the right angle called the hypotenuse.
Introduction to Variables: x 0 = 0
Letters are used in algebraic equations to represent numbers we do not know the value of yet. These are called variables.
Introduction to a Third Variable: RT=E
An example of an algebraic expression that uses three variables.
Inverse Variation
As the price of an item increases, its sales decrease. This is an example of inverse variation. An inverse variation problem has one constant of variation, but is divided instead of multiplied.
Inverses Defined
Every number has an additive or a multiplicative inverse.
Joint Variation
Joint variation is when the constant of variation applies to two values. The interest paid on a loan, for examples, varies jointly with the interest rate and the amount borrowed.
Midpoint Formula, The
The midway formula can be used to find the coordinates of a point that is half way between two given points.
Monomials with Exponents Outside of Parentheses
The rule for raising a power to a power is demonstrated in simplifying a monomial in which an exponent is outside parentheses.