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This Book offers visuals, definitions, and audio explanations of 8th-grade math terms. All vocab words are aligned with Big Ideas Math.

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Visit IXL and work on the following recommendations:

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Linear Systems of Equations: Special Cases

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Linear Systems of Equations: Special Cases

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Linear Systems of Equations: Word Problems

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Linear Systems of Equations: Word Problems

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Linear Systems of Equations: Special Cases

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Linear Systems of Equations: Special Cases

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Linear Systems with Special Case Solutions

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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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A set of two or more linear equations in the same variables. A linear system of equations is also known as a linear system. The above image shows an example of a linear system.

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In two variables is an ordered pair that is a solution of each equation in the system. The solution of a system of linear equations is the point of intersection of the graphed lines. In the graph above the solution for the linear system is (-1, 3), the intersection of the lines.

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AKA opposites, two numbers that, when added together, will get you a zero-sum.

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For this method of solving linear systems, additive inverses are used to eliminate one of the variables in each equation. After solving for the first part of the coordinate, substitution is then performed to solve for the other. The solution, written as an ordered pair, represents the intersection point of the linear equations (should they be graphed).

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With this method of solving linear systems, a portion of one equation will be substituted into the other to combine like terms and solve a multi-step equation. After solving for the first part of the coordinate, substitution is then performed a second time to solve for the other. Looking at the above picture, the first step would be to substitute x + 24 into the y in the bottom equation.

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Material things. Each of the images below is an example of a good.

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Thing you want or need done. Examples include getting your car washed, babysitting, and/or phone repair.

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Price where the quantity supplied is equal to the quantity demanded.

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How much of a good or service there is.

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How much people want a good or service.

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Join an activity with your class and find or create your own quizzes and flashcards.