Unit 5 Systems Review

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy a given inequality or system of inequalities.

Front

What does it mean for a point to be part of the solution set?

Back

A point is part of the solution set if it makes the inequality true when substituted into the inequality.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane and identify the region where the solutions overlap.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary line, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary line.

Front

What is Point-Slope Form of a linear equation?

Back

Front

What is Slope-Intercept Form of a linear equation?

Back

Front

Back

The graph is a dashed line with a slope of -1 and a y-intercept of 3, shading above the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

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

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.

Front

What is the purpose of graphing inequalities?

Back

Graphing inequalities helps visualize the solution set and understand the relationships between variables.