Algebra 1 First Semster Final Review

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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. The solution is the point(s) where the equations intersect.

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How do you solve a system of linear equations graphically?

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To solve graphically, plot each equation on the same graph. The point(s) where the lines intersect represent the solution(s) to the system.

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What does it mean to solve for x in an equation?

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Solving for x means finding the value of x that makes the equation true.

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What is the slope-intercept form of a linear equation?

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How do you convert an equation to slope-intercept form?

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To convert to slope-intercept form, isolate y on one side of the equation.

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What is the meaning of the slope in a linear equation?

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The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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What does the y-intercept represent in a linear equation?

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The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

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How do you solve a linear inequality?

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To solve a linear inequality, isolate the variable on one side, similar to solving an equation, and then represent the solution on a number line.

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

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