Solving Linear Equations and Inequalities

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What is a linear equation?

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What is the solution to a linear equation?

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The solution to a linear equation is the value of the variable that makes the equation true. It is the point where the line intersects the x-axis.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

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How do you solve a linear equation?

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To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to simplify.

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What does it mean to graph a linear equation?

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Graphing a linear equation means plotting all the points that satisfy the equation on a coordinate plane, resulting in a straight line.

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What is the slope of a line?

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What is the y-intercept?

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What is the difference between a linear equation and a linear inequality?

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How do you solve a linear inequality?

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To solve a linear inequality, perform the same operations as with a linear equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

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What is a system of linear equations?

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A system of linear equations is a set of two or more linear equations with the same variables. Solutions are the points where the equations intersect.