12/11 - Test - Linear Inequalities

Front

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

Back

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

Front

When solving a linear inequality, when do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Are points on the boundary line included in the solution set for a 'greater than or equal to' inequality?

Back

Yes, points on the boundary line are included in the solution set.

Front

What type of line is used to represent 'greater than or equal to' in a graph?

Back

A solid line is used to represent 'greater than or equal to'.

Front

What type of line is used to represent 'less than' in a graph?

Back

A dashed line is used to represent 'less than'.

Front

If a student has $20 to spend on chips at $2.50 each and sodas at $1.75 each, what inequality represents their spending limit?

Back

The inequality is 2.5x + 1.75y ≤ 20, where x is the number of chips and y is the number of sodas.

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.

Front

What does it mean if a linear inequality has no solution?

Back

It means that there are no values for the variables that can satisfy the inequality.

Front

What is the graphical representation of the inequality y ≤ 2/5x + 1?

Back

The graph will have a solid line for the boundary and the area below the line shaded.

Front

What is the difference between '≤' and '<' in linear inequalities?

Back

'≤' includes the boundary line in the solution set, while '<' does not.