Alg Module 10 Review Flashcard

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality.

Front

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

Back

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

Front

How do you graph the inequality 2x - y > 4?

Back

First, graph the line 2x - y = 4 as a dashed line, then shade above the line.

Front

What does the inequality 4x + 2y < 6 represent graphically?

Back

It represents a region below the line 4x + 2y = 6, which is graphed as a dashed line.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y ≤ 2/5x + 1?

Back

The slope is 2/5, which indicates the line rises 2 units for every 5 units it runs to the right.

Front

What does the term 'system of inequalities' mean?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How can you tell if a graph represents a system of inequalities?

Back

If the graph shows shaded regions and lines (solid or dashed) that represent multiple inequalities, it is a system of inequalities.