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October 15, 2008

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This is a part of the interactive online tutorial for Geometry learning with the help of audio visual lessons. It has been created to help you learn the concept, perception with explanations and includes solution to practice questions from the topic of 'Graphing a linear equation and linear inequalities. The mini-lessons here include: Getting started, Rearranging equation into standard form (y=mx+b), Determine the slope from equation of a line (y=mx+b), Determine the y-intercept from equation of a line (y=mx+b), Graphing equations and inequalities.

- Mathematics > General
- Mathematics > Algebra

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Table of Contents

- Getting started - Graphing a linear equation
- Getting Started - Logical reasoning
- Rearranging equation into standard form (y=mx+b)
- Determine the slope from equation of a line (y=mx+b)
- Determine the y-intercept from equation of a line (y=mx+b)
- Getting Started - Graph the solution set of the linear inequality
- Getting started - Exponent and Root Rules
- Graphing equations and inequalities

This is a part of the interactive online tutorial for Geometry learning with the help of audio visual lessons. It has been created to help you learn the concept, perception with explanations and includes solution to practice questions from the topic of 'Graphing a linear equation and linear inequalities. The mini-lessons here include: Getting started, Rearranging equation into standard form (y=mx+b), Determine the slope from equation of a line (y=mx+b), Determine the y-intercept from equation of a line (y=mx+b), Graphing equations and inequalities.

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting started - Graphing a linear equation.

In this mini-lesson we introduce a linear equation, which basically is an equation whose graph is a line. For example, x + y - 2 = 0. Once we know the basics of linear equations, we'll move on to more advanced topics such as rearranging an equation to draw its graph, and to determine its slope and intercepts.

In this mini-lesson we introduce a linear equation, which basically is an equation whose graph is a line. For example, x + y - 2 = 0. Once we know the basics of linear equations, we'll move on to more advanced topics such as rearranging an equation to draw its graph, and to determine its slope and intercepts.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

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This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting Started - Logical reasoning.

This mini-lesson; with the help of some examples, defines and deals with a statement, truth value, negation, postulate and theorem. This might seem complicated here in text, but once you have instructor explain it to you in their voice and handwriting in the video, it will be fairly easy for you to understand. You should remember that the main idea behind logical reasoning is to use the information and preconditions to make a conclusion. You will find that a variety of conditions and you must use an "if"-"then" approach. To work the solution you should read the whole problem, and choose the best hint or clue before starting.

A statement is a declarative sentence which is either true or false, but not both. The truth value refers to whether or not something is true or false. E.g. the truth value of a statement is T if it is true and F if it is false (the statement ‘2 + 3 = 5’ has truth value T). The negation is usually constructed by adding or removing “not” from the statement and it is symbolically, ~p, or p, e.g. If p is "I have a job", then ~p is "I do not have a job". While postulate is a proposition that is accepted as true in order to provide a basis for logical reasoning, a theorem is a statement that has been proven, or can be proven, from the postulates.

This mini-lesson; with the help of some examples, defines and deals with a statement, truth value, negation, postulate and theorem. This might seem complicated here in text, but once you have instructor explain it to you in their voice and handwriting in the video, it will be fairly easy for you to understand. You should remember that the main idea behind logical reasoning is to use the information and preconditions to make a conclusion. You will find that a variety of conditions and you must use an "if"-"then" approach. To work the solution you should read the whole problem, and choose the best hint or clue before starting.

A statement is a declarative sentence which is either true or false, but not both. The truth value refers to whether or not something is true or false. E.g. the truth value of a statement is T if it is true and F if it is false (the statement ‘2 + 3 = 5’ has truth value T). The negation is usually constructed by adding or removing “not” from the statement and it is symbolically, ~p, or p, e.g. If p is "I have a job", then ~p is "I do not have a job". While postulate is a proposition that is accepted as true in order to provide a basis for logical reasoning, a theorem is a statement that has been proven, or can be proven, from the postulates.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

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This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Rearranging equation into standard form (y=mx+b).

In this mini-lesson we cover how to rearrange a given equation into the standard form (y = mx + b). This is called the slope-intercept form, where "m" is the slope and "b" is the y-intercept. For example, to rearrange an equation 2x – 9y = 3, we can isolate y variable on left side and rewrite the equation. Thus, we will arrive at an equation of the form y = mx + b, where m = 2/9 and b = –1/3.

In this mini-lesson we cover how to rearrange a given equation into the standard form (y = mx + b). This is called the slope-intercept form, where "m" is the slope and "b" is the y-intercept. For example, to rearrange an equation 2x – 9y = 3, we can isolate y variable on left side and rewrite the equation. Thus, we will arrive at an equation of the form y = mx + b, where m = 2/9 and b = –1/3.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Determine the slope from equation of a line (y=mx+b).

This mini-lesson explains the concept of slope and shows how to determine the slope from the standard form of equation of a line: y = mx + b. Slope is a measure of the steepness or slant of a line, and when you are asked to calculate the slope of a given line, rearrange the equation in the standard form given by y = mx + b. In this form, m is the slope of the equation.

This mini-lesson explains the concept of slope and shows how to determine the slope from the standard form of equation of a line: y = mx + b. Slope is a measure of the steepness or slant of a line, and when you are asked to calculate the slope of a given line, rearrange the equation in the standard form given by y = mx + b. In this form, m is the slope of the equation.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Determine the y-intercept from equation of a line (y=mx+b).

It shows how to determine the y-intercept of a line if you have been given its equation. In the equation y = mx + b, the constant b is called the y-intercept, and is the y-coordinate of the point at which the line intersects the y-axis. Hence, to find the y-intercept for any given equation, rearrange the equation into the standard form y = mx + b, and b will give you the y-intercept. The mini-lesson also explains how to graph a line after determining its y-intercept.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

It shows how to determine the y-intercept of a line if you have been given its equation. In the equation y = mx + b, the constant b is called the y-intercept, and is the y-coordinate of the point at which the line intersects the y-axis. Hence, to find the y-intercept for any given equation, rearrange the equation into the standard form y = mx + b, and b will give you the y-intercept. The mini-lesson also explains how to graph a line after determining its y-intercept.

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Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting Started - Graph the solution set of the linear inequality.

In this mini-lesson you'll learn how to solve linear inequalities and also graph them. An inequality is an algebraic expression with one of these signs: <, >, ?, ?. For example 2x + 3y ? 5. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

In this mini-lesson you'll learn how to solve linear inequalities and also graph them. An inequality is an algebraic expression with one of these signs: <, >, ?, ?. For example 2x + 3y ? 5. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting started - Exponent and Root Rules.

In this mini-lesson we define exponent, root and radical notations. Basically exponents are used when a certain number raises to a certain power. For example: 3^{4}, where 3 is the base and 4 is the exponent. You will also see how roots and exponents are inverses of each other.

Note: One thing to keep in mind -- by default, the radical sign ? means square root.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

In this mini-lesson we define exponent, root and radical notations. Basically exponents are used when a certain number raises to a certain power. For example: 3

Note: One thing to keep in mind -- by default, the radical sign ? means square root.

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Graphing equations and inequalities.

This mini-lesson, covers the basics of graphing. In simple terms, the graph of an equation is the set of all the points whose coordinates satisfy the equation. As you can guess, if the equation represents a line, we can draw the graph by connecting all points that satisfy the equation. But even if the equation does not represent a line, its graph can still be drawn by passing through all the points that would satisfy the equation. The steps involved in drawing a graph are simple:

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

This mini-lesson, covers the basics of graphing. In simple terms, the graph of an equation is the set of all the points whose coordinates satisfy the equation. As you can guess, if the equation represents a line, we can draw the graph by connecting all points that satisfy the equation. But even if the equation does not represent a line, its graph can still be drawn by passing through all the points that would satisfy the equation. The steps involved in drawing a graph are simple:

- plug in values of x
- compute y from the equation
- plot the ordered pair given by these two values
- repeat the three steps above till you have a set of points you can connect, and
- draw the graph that connects them

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