Algebra EOS Review

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

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Back

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

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

Back

Front

What does the slope of a line represent?

Back

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 is the y-intercept of a line?

Back

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

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How can you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid or dotted line. 2. Shade the region that satisfies the inequality.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dotted line indicates they are not included (> or <).

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What does the term 'system of equations' refer to?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.