Graphing Linear and Absolute Value Inequalities Quiz

What is the first step in graphing a linear inequality?

• Shade the region above the line

• Draw a solid line

• Solve for x

• Solve for y

When graphing a linear inequality, what does a dashed line indicate?

• The inequality is strict (e.g., < or >)

• The line is vertical

• The inequality is non-strict (e.g., ≤ or ≥)

• The line is horizontal

In the SAT score example, what does the inequality x + y ≤ 900 represent?

• The sum of verbal and math scores must be more than 900

• The sum of verbal and math scores must be less than or equal to 900

• The verbal score must be less than 900

• The math score must be less than 900

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

• Check if the point is at the origin

• Check if the point is outside the shaded region

• Check if the point is in the shaded region

• Check if the point lies on the line

What is the vertex of the absolute value inequality y > |x - 5| + 4?

• (-5, 4)

• (4, 5)

• (5, -4)

• (5, 4)

When graphing an absolute value inequality, what does the slope 2/3 indicate?

• Go down 3 and left 2 from the vertex

• Go down 2 and left 3 from the vertex

• Go up 3 and right 2 from the vertex

• Go up 2 and right 3 from the vertex

In solving absolute value inequalities, why do we consider two cases?

• To find the y-intercepts

• To find the x-intercepts

• To determine the slope

• To account for both positive and negative values

What is the result of dividing by a negative number in an inequality?

• The inequality becomes undefined

• The inequality becomes an equation

• The inequality sign switches direction

• The inequality sign remains the same

What does shading above the line indicate in an inequality graph?

• x is less than the expression

• y is greater than the expression

• x is greater than the expression

• y is less than the expression

Why is it important to test a point in the context of graphing inequalities?

• To find the vertex

• To ensure the correct region is shaded

• To verify the slope

• To determine the line type