Linear Inequalities Quiz

What is the first step in graphing a linear inequality in two variables?

• Rewrite the inequality in slope-intercept form

• Simplify the inequality

• Find the slope of the line

• Plot the y-intercept

Tags

CCSS.HSA.REI.D.12

How do you represent the solution to a linear inequality graphically?

• By connecting the points that satisfy the inequality with a curve on a coordinate plane.

• By labeling the x and y axes.

• By shading the region that satisfies the inequality on a coordinate plane.

• By drawing a straight line on a coordinate plane.

Tags

CCSS.HSA.REI.D.12

What is the solution to the inequality y > 2x - 3?

• The solution is all the points above the line y = 2x - 3.

• The solution is all the points below the line y = 2x - 3.

• The solution is all the points on the line y = 2x - 3.

• The solution is all the points below the line y = 2x + 3.

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

Which direction should the shading be for the inequality y ≤ -3x + 2?

• below

• to the right

• to the left

• above

Tags

CCSS.HSA.REI.D.12

How many solutions can a system of linear inequalities have?

• infinitely many

• None

• One

• Two

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

What does it mean if a point lies on the boundary line of a linear inequality?

• The point satisfies the inequality equation.

• The point is an extraneous solution.

• The point is not part of the solution set.

• The point does not satisfy the inequality equation.

Tags

CCSS.HSA.REI.D.12

What is the solution to the inequality 3x + 2y ≥ 6?

• The solution is the region below or on the line 3x + 2y = 6.

• The solution is the region above the line 3x + 2y = 6.

• The solution is the region above or on the line 3x + 2y = 6.

• The solution is the region below the line 3x + 2y = 6.

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

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

• Substitute the coordinates of the point into the inequality and check if the resulting statement is true.

• Solve the inequality algebraically using the coordinates of the point and check if the solution is valid.

• Calculate the slope of the inequality line and compare it to the coordinates of the point.

• Graph the point on a coordinate plane and check if it lies on the correct side of the inequality line.

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.REI.D.10