IM Algebra 1 Unit 4 Review

What inequality is represented by the graph of a line with a solid line and shading below?

What does the inequality @@y \ge -3@@ represent on a graph?

• It represents a horizontal line at y = -3, including the line itself, with shading above.

• It represents a vertical line at x = -3, including the line itself, with shading to the right.

• It represents a horizontal line at y = -3, excluding the line itself, with shading below.

• It represents a diagonal line with a slope of -3.

What is the process for graphing the inequality @@y>2x-4@@?

• Graph the line @@y=2x-4@@ as a solid line and shade below the line.

• Graph the line @@y=2x-4@@ as a dashed line and shade below the line.

• Graph the line @@y=2x-4@@ as a dashed line and shade above the line.

• Graph the line @@y=2x-4@@ as a solid line and shade above the line.

• All values of y that are less than -3.

• All values of y that are greater than -3.

• All values of y that are greater than or equal to -3.

• All values of y that are equal to -3.

Tags

CCSS.6.EE.B.8

What is the first step in solving the inequality @@-3x+5\ge8@@?

• Add 5 to both sides to isolate the term with x.

• Subtract 5 from both sides to isolate the term with x.

• Multiply both sides by -3 to simplify the inequality.

• Divide both sides by 5 to isolate x.

What is the meaning of a solid line in graphing inequalities?

• A solid line indicates that the points on the line are included in the solution (i.e., the inequality is 'greater than or equal to' or 'less than or equal to').

• A solid line indicates that the points on the line are not included in the solution.

• A solid line represents a linear equation with no inequalities involved.

• A solid line is used to show that the inequality is only 'greater than' or 'less than'.

Tags

CCSS.HSA.REI.D.12

How do you interpret the graph of a system of inequalities?

• The solution is the region where the shaded areas of all inequalities overlap.

• The solution is the area outside the shaded regions.

• The solution is the line where the inequalities intersect.

• The solution is the area where only one inequality is satisfied.

Tags

CCSS.HSA.REI.D.12

What is the meaning of a dashed line in graphing inequalities?

• A dashed line indicates that the points on the line are included in the solution.

• A dashed line indicates that the points on the line are not included in the solution (i.e., the inequality is 'greater than' or 'less than').

• A dashed line indicates that the inequality is always true.

• A dashed line indicates that the graph is a function.

Tags

CCSS.HSA.REI.D.12

How do you graph the solution to the inequality @@-3x+5\ge8@@?

• Graph a solid line at @@x = -1@@ and shade to the left.

• Graph a dashed line at @@x = -1@@ and shade to the right.

• Graph a solid line at @@x = 1@@ and shade to the right.

• Graph a dashed line at @@x = 1@@ and shade to the left.

How do you determine the solution set for the inequality @@y>x+2@@?

• Graph the line @@y=x+2@@ as a dashed line and shade above the line.

• Graph the line @@y=x+2@@ as a solid line and shade below the line.

• Graph the line @@y=x+2@@ as a dashed line and shade below the line.

• Graph the line @@y=x+2@@ as a solid line and shade above the line.