Unit 2 review of Equations and Inequalities

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

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How do you solve a system of equations by graphing?

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To solve by graphing, plot each equation on the same set of axes and identify the point(s) where the lines intersect. This point is the solution to the system.

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What does it mean if a system of equations has no solution?

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It means that the lines representing the equations are parallel and never intersect.

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What is the process to isolate a variable in an equation?

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To isolate a variable, perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.

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What is the distributive property?

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What does it mean to solve an inequality?

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To solve an inequality means to find the range of values that make the inequality true, often represented on a number line.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.