Math Worksheets and Math Lessons

Writing Numbers in Scientific Notation Worksheets, Quiz and Examples

Extremely large and small numbers are often used by Scientists to denote distances, wavelengths, speed of light, growth and decay of bacteria, number of living cells in an organism and many others. For instance, the amount of cells that will prolong a whale for several hours is 400,000,000,000 and the shortest wavelength of noticeable light is 0.0000004 m. These numbers can be written in simpler way using scientific notation. To rewrite a number into a scientific form expressed it in the form \(a \times 10^n\), wherein the absolute of \(a\) is equal to or greater than 1 but less than 10 and \(n\) is any integer. When expressing a number into scientific form, it is better to use the symbol “\(\times\)”instead of “\(\sqcup \)”. Examples of scientific numbers are \(2.3 \times 10^{-2}\) and \(1.2 \times 10^3\).

Properties of Exponents Worksheets, Examples, and Quiz

When we are asked to multiply a number (like 5) six times by itself, the most common thing that we do is to present it this way, \(5 \times 5 \times 5 \times 5 \times 5 \times 5\). This approach is good only if we are going to use a factor for few times, but what if we are asked to use it a 100 times? Do you think it would still be better to present it that way? In this context, your knowledge about exponents is highly valuable. We actually can express repeated multiplication into an exponential form which consists of a base (the given number or quantity that would be used as a repeated factor) and the exponent (which represents the number of times the base number is to be used). Taking the example above, the first task can be expressed as \(5^6\) wherein 5 is the base and 6 is the exponent, and the second task as \(5^{100}\), indeed a simpler and shorter form.

Exponential Functions and Graphs Worksheets, Examples, and Quiz

Worksheets, examples, or quiz regarding exponential functions are available here. Properties of exponential functions are also discussed in this post. You will also learn here how to graph this type of function.

Graphing Linear Inequalities Worksheets, Quiz, and Examples

Graphing linear inequalities worksheets, quiz, and examples can be viewed here. Most of the examples here are graphs of linear inequalities in two unknowns which is thereby a half-plane. Worksheet of this topic is available at the end part of this post.

Graphing Absolute Value Equations Worksheets and Examples

If you obtain the absolute value of a number, then you at all times end up with a nonnegative number. It means that whether the input value is negative or positive, the result is always nonnegative (positive or zero). It is due to this fact, why solving and graphing absolute value equations are considered a little complicated. An absolute value equation in two variables is generally defined by the equation, \(y=a\left | x-h \right |+k\) where \( \left(h,k\right) \) is the vertex of the graph. The vertex of the graph of an absolute value equation is either its lowest or its highest point. It is the lowest (minimum) point of the graph, if it opens upward, and is the highest (maximum) point if it opens downward.

Linear Equations Worksheets and Examples

The equation of a line can be defined if any of the following conditions are given: a graph, two points, a point and a slope, a slope and y–intercept and the intercepts. Here are the formulas in finding the equation of a line.

Graphing Lines Using Standard Form Worksheets and Examples

The equation of a line in standard form is defined by, \(Ax+By=C\) where \(A\), \(B\), and \(C\) are real numbers with \(A \neq 0\) and \(B \neq 0\). Previously, we have learned how to graph the equation of a line using slope–intercept form.

Graphing Lines Using Slope-Intercept Form

This post shows tutorial lesson and examples of graphing lines using slope-intercept form. Link to a worksheet is also included here and can be found at the end part of this lesson.

Finding Slope from an Equation Examples and Worksheets

Get here our tutorial lesson, examples, and worksheets about finding slope from an equation. In our previous posts, we discussed finding a slope from a graph and from two given points.

Finding Slope from Two Points Worksheets

Free finding slope from two points worksheets in free response and multiple-choice modes for students and teachers. Finding slope from two points is one of the ways to find a slope of a given line.

Finding Slope from a Graph Worksheets

The slope of a line refers to the steepness of the line. It also measures the inclination of the line with respect to an imaginary horizontal and vertical line passing through any two points of the graph. In layman’s terms, the slope of a line is the ratio between vertical change or rise and horizontal change or run.

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