Equations and
Inequalities II

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An enriching experience

On-line learning is a dynamic experience. Throughout the course, you will engage in "dialogue" with an "intelligent" site that will respond to your input with immediate explanations and feedback.

You will acquire new knowledge, not only by reading pages on the Web site, but also by interacting with images, animations, sound recordings and Internet resources.

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Equations and Inequalities II Course Overview

Equations and Inequalities II (MTH-4101-2) is the third of a series of three courses on algebra and it is compulsory in the mathematics program of study in basic general adult education.

You must pass an examination administered by a school board in Québec in order to obtain an equivalency for 416, 426 or 436 courses (Secondary IV) in the youth sector.

The recommended duration of Equations and Inequalities II is 50 hours.

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Prerequisites Course objectives Seven course units Take up the challenge!

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Prerequisites

Before taking Equations and Inequalities II, you must successfully complete all Secondary III mathematics courses.

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Course objectives

  1. To solve a system of first-degree equations
    1. Graphically solve a system of two first-degree equations in two variables. The equations are of the form Ax + By + C = 0, where the coefficients A, B and C are rational numbers.
    2. Solve a system of two first-degree equations in two variables by applying one of the following methods:
      • graphing method
      • substitution method
      • comparison method
      • elimination method by addition
    3. Solve word problems that can be written as a system of two first-degree equations in two variables and that involve solving this system of equations.

  2. To graphically solve a system of first-degree inequalities in two variables
    1. Graphically solve a system of two first-degree inequalities in two variables. These inequalities can be of any of the following forms:
      • Ax + By + C < 0;
      • Ax + By + C > 0;
      • Ax + By + C ≤ 0;
      • Ax + By + C ≥ 0;
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Equations and Inequalities II: seven course units

Equations and Inequalities II consists of seven units, which we strongly recommend you do in order.

  1. Graphing a System of Equations
  2. Solving a System of Equations by Comparison
  3. Solving a System of Equations by Substitution
  4. Solving a System of Equations by Elimination through Addition
  5. Solving a System of Equations: Four Possible Methods
  6. Solving Everyday Problems
  7. Graphing a System of Inequalities
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Take up the challenge!

Learning is the result of a process. Your success in this course will depend mainly on your commitment to learning. Throughout the course you can, of course, count on the support of an instructor or tutor, as well as learning and technical support services. We also offer you easy, practical tools to help you monitor your progress.

Before you begin, we suggest you read the following sections of this course: "How This Course Works" and "Presentation of the Workspace".

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Main Page How This Course Works