This lesson introduces adding, subtracting, and multiplying polynomials. It also explains polynomial identities that describe numerical expressions. Adding and Subtracting Polynomials A polynomial is an expression that contains exponents, variables, constants, and operations. The exponents of the variables are only whole numbers, and there is no division by a variable. The operations are addition, subtraction, multiplication, and …
This lesson introduces solving quadratic equations by the square root method, completing the square, factoring, and using the quadratic formula. Solving Quadratic Equations by the Square Root Method A quadratic equation is an equation where the highest variable is squared. The equation is in the form , where a is a non-zero constant and b and c are constants. There are …
This lesson discusses solving a system of linear equations by substitution, elimination, and graphing, as well as solving a simple system of a linear and a quadratic equation. Solving a System of Equations by Substitution A system of linear equations is a set of two or more linear equations in the same variables. A solution to the system …
This lesson discusses how to create a bar, line, and circle graph and how to interpret data from these graphs. It also explores how to calculate and interpret the measures of central tendency. Creating a Line, Bar, and Circle Graph A line graph is a graph with points connected by segments that examines changes over …
This lesson introduces concepts of circles, including finding the circumference and the area of the circle. Circles Terminology A circle is a figure composed of points that are equidistant from a given point. The center is the point from which all points are equidistant. A chord is a segment whose endpoints are on the circle, and the diameter is a chord that goes …
This lesson defines and applies terminology associated with coordinate planes. It also demonstrates how to find the area of two-dimensional shapes and the surface area and volume of three-dimensional cubes and right prisms. Coordinate Plane The coordinate plane is a two-dimensional number line with the horizontal axis called the x-axis and the vertical axis called …
This lesson discusses the conversion within and between the standard system and the metric system and between 12-hour clock time and military time. Length Conversions The basic units of measure of length in the standard measurement system are inches, feet, yards, and miles. There are 12 inches (in.) in 1 foot (ft.), 3 feet (ft.) …
This lesson examines exponents and how they relate to square roots and cube roots. It also discusses powers of 10 and polynomials. Powers We have explained in previous lessons that exponents imply an expression of repeated multiplication, otherwise known as a power. There are many rules associated with exponents. Recall that any number to a …
Powers & Exponents, Roots & Radicals, with Polynomials Read More »
This lesson introduces solving real-world mathematical problems by using estimation and mental computation. This lesson also includes real-world applications involving integers, fractions, and decimals. Estimating Estimations are rough calculations of a solution to a problem. The most common use for estimation is completing calculations without a calculator or other tool. There are many estimation techniques, but …
This lesson introduces how to solve linear equations and linear inequalities. One-Step Linear Equations A linear equation is an equation where two expressions are set equal to each other. The equation is in the form ax + b + c = 0, where a is a non-zero constant and b and c are constants. The exponent on a linear equation is always 1, …
