Choose the linear inequality and explanation for its shading according to the graph.

$$y>2x+3\ $$ is shaded above the line because the value of y is always more than $$2x+3$$

$$y>2x+3$$ is shaded above the line because the slope is positive.

$$y>2x+3$$ is shaded above the line because the y-intercept is positive.

$$y>2x+3$$ is shaded above the line because $$\left(0\ ,\ 0\right)$$ is in the solution region.

The inequality $$3x+2y>96$$ approximately models the projected sales for a stadium vendor if she sells more than $96 of snacks during the game and is represented in the graph. Which statement is true?

The vendor wants to sell more than $96 worth of snacks.

The vendor wants to sell at least $96 worth of snacks.

The inequality 3 x + 2 y > 96 3x+2y>96 3 x + 2 y > 9 6 approximately models the projected sales for a stadium vendor if she sells more than $96 of snacks during the game and is represented in the graph. Which statement is true?

The line is dashed and shaded above the line because it is greater than but not equal to $96.

The line is dashed because all inequalities are dashed to designate the difference between an inequality and a line.

The graph is shaded above the line so you can clearly see the combinations below the line.

Based on the inequality and associated graph, the vendor is only trying to sell up to $96 worth of snacks.

What is NOT true about the interval $$20\le t\le28$$ in the graph that models the number of people in a room over time?

There are between 20 and 28 people in the room.

There are 60 people in the room during that interval.

No people enter or leave the room during that interval.

This interval represents the time during which there are the most people in the room.

A dietician is creating a granola bar with at most 180 calories. The graph shows the relationship between the number of calories from proteins or carbohydrates and calories from fat. Which of the following statements is NOT true?

The graph is shaded below the line because the slope of the line is negative so combinations must be less than the line.

A situation like this will always have a decreasing slope because the more of x that is used/bought/included, the less of y can be used/bought/included. In this case, the more calories of protein that are used, the less calories of fat can be used to stay within 180 calories.

The graph is shaded below the line because the context represents an inequality due to the fact that the granola bar was to be at most 180 calories and there are many combinations that could result in 180 calories or less.

The graph is shaded below the line because the line represents the combinations that are 180 calories but the dietician would be okay with combinations that result in granola bars that are less than 180.

Linear Inequality Graph Context

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.D.12, 8.EE.C.8B, HSF.IF.B.4

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which color is the solution region to this system of inequaliteis?

White

Blue

Purple

Red

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which coordinate point is a solution to the system of inequalities?

(o,o)

(2,2)

(1,-3)

(4,-1)

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two regions created on a graph when separated by a boundary line

Quadrant

Half - Plane

Sides

Solution

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

Solution Region

Graph

Quadrant

Half Plane

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the correct graph for each inequality.

A

B

C

D

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following inequalities matches the graph?

y ≤ 3/4x + 5

y ≥ 3/4x + 5

y < 3/4x + 5

y > 3/4x + 5

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following inequalities matches the graph?

y > 2x - 2

y < 2x - 2

y ≥ 2x - 2

y ≤ 2x - 2

Tags

CCSS.HSA.REI.D.12

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Linear Inequality Graph Context

20 questions

Which color is the solution region to this system of inequaliteis?

Which coordinate point is a solution to the system of inequalities?

Two regions created on a graph when separated by a boundary line

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

Select the correct graph for each inequality.

Which of the following inequalities matches the graph?

Which of the following inequalities matches the graph?

Which of the following equations match the given graph?

Which inequality matches the picture shown?

Which of the following equations match the given graph?

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