Inequalities Practice

Inequalities

Packet ​Page 9

Multiple Choice

What is this symbol?

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

=No More Than

• <
• >
• ≤
• ≥

Multiple Choice

Fewer Than

• <
• >
• ≤
• ≥

Multiple Choice

Decide if the inequality is open circle or closed circle: 4x > 1

• Open Circle

• Closed Circle

• Flip the sign

• I don't know

Match

Check some of your answers to the bottom half of the page.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

is fewer than

is more than

Is at most

Is no less than

• is fewer than

• is more than

• Is at most

• Is no less than

Multiple Choice

Whatever Lego you decide to buy, it will cost you at least $4. Which inequality can represent this situation?

• c > $4

• c < $4

• c ≤ $4

• c ≥​ $4

Multiple Choice

Whatever video game you decide to buy, it will cost you no more than $70. Which inequality can represent this situation?

• c > $70

• c < $70

• c ≤ $70

• c ≥​ $70

Multiple Choice

The minimum you will pay for a 12-pack of Mountain Dew is $3.99. Which inequality can represent this situation?

• p > $3.99

• p < $3.99

• p ≤ $3.99

• p ≥​ $3.99

Multiple Choice

You need a score fewer than 72 to break par on a standard 18-hole golf course. Which inequality can represent breaking par?

• s > 72

• s < 72

• s ≤ 72

• s ≥​ 72

Multiple Choice

• y < x² - 4x + 4

• y ≤ x² + 4x + 4

• y ≥ x² + 4x + 4

• y > x² - 4x + 4

Multiple Choice

• y ≥ -x² - 8x -15

• y < -x² + 8x - 15

• y ≤ x² - 8x + 17

• y ≤ -x² + 8x - 15

Multiple Choice

When you graph an inequality, you use a closed dot when you use which symbols?

• <, >

• ≤, ≥

• ≤, <

• ≥, >

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Multiple Choice

Which inequality is represented by the graph?

• y ≥ -(x + 4)² + 1

• y < -(x - 4)² + 1

• y ≤ (x - 4)² + 1

• y ≤ -(x - 4)² + 1

Multiple Choice

Which correctly shows the inequality $$y<\left(x+4\right)^2+1$$  ?

Multiple Choice

Which correctly shows the inequality $$y>x^2+4x+6$$  ?

Multiple Choice

Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

Multiple Choice

Which correctly shows the inequality $$y\ge-\left(x+2\right)^2-4$$  ?

Introduction to Inequalities

Multiple Select

The following symbols are used to denote inequality except _______________________.

• $$>$$

• $$=$$

• $$<$$

• $$\ge$$

• $$\ge$$

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Select

Which of the following is an example of quadratic inequality? Select all that apply.

• $$2x^2+3x+4>0$$

• $$15x\le10$$

• $$x^2-x+15<-30$$

• $$x^2-x+15<-30$$

Multiple Choice

Which of the following does not belong to the group?

• $$x^2-x+15<-30$$

• $$2x^2>4$$

• $$x^2+6x<3$$

• $$x^3+4x+8<0$$

Graphing Inequalities

​

​

Multiple Choice

Solid or dashed line?  
$$y<$$

• Solid
• Dashed

Multiple Choice

Solid or dashed line?  
$$y\ge$$

• Solid
• Dashed

Multiple Select

A solid line would be used with which inequality symbol(s)?

• $$>$$
  

• $$\ge$$

• $$<$$

• $$\le$$

Multiple Choice

Shade above or below?
y ≥

• Above
• Below

Multiple Choice

Shade above or below?
y <

• Above
• Below

Multiple Choice

Solutions of a quadratic inequality are in the ___________ area.

• non-shaded

• shaded

• vertex

• axis of symmetry

Multiple Choice

The points in the shaded region....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

The points on a SOLID boundary line ....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

The points on a DASHED boundary line ....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

Which correctly shows the inequality $$y<\left(x+4\right)^2+1$$  ?

Multiple Choice

Which correctly shows the inequality $$y\ge-\left(x+2\right)^2-4$$  ?

Multiple Choice

is greater than or equal to

• <
• ≤
• >
• ≥

Multiple Choice

Which correctly shows the inequality $$y>x^2+4x+6$$  ?

Multiple Choice

Which inequality is represented by the graph?

• $$y\ge-(x+4)^2+1$$

• $$y<-(x-4)^2+1$$

• $$y\le(x-4)^2+1$$

• $$y\le-(x-4)^2+1$$

Multiple Choice

Which inequality is represented by the graph?

• $$y>(x-3)^2-3$$

• $$y\ge(x+3)^2-3$$

• $$y>(x+3)^2-3$$

• $$y\ge(x-3)^2-3$$

Multiple Choice

Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

Inequality Vocabulary

​Here are some other key words you may see for inequalities in practical situations. There are other words for each symbol as well.

Multiple Choice

no greater than

• <
• ≤
• >
• ≥

Multiple Choice

no less than

• <
• ≤
• >
• ≥

Multiple Choice

more than

• <
• ≤
• >
• ≥

Multiple Choice

fewer than

• <
• ≤
• >
• ≥

Multiple Choice

at least

• <
• ≤
• >
• ≥

Multiple Choice

below

• <
• ≤
• >
• ≥

Multiple Choice

above

• <
• ≤
• >
• ≥

Multiple Choice

at most

• <
• ≤
• >
• ≥

Multiple Choice

minimum

• <
• ≤
• >
• ≥

Multiple Choice

maximum

• <
• ≤
• >
• ≥

Multiple Choice

exceed

• <
• ≤
• >
• ≥

Multiple Choice

no fewer than

• <
• ≤
• >
• ≥

Multiple Choice

under

• <
• ≤
• >
• ≥

Multiple Select

Write an inequality for the sentences below.

The sum of a number, n, and fifteen is greater than or equal

to nine.

• 15n < 9

• n - 15 > 9

• n + 15 ≥ 9

Multiple Choice

The maximum amount of people that can be in the elevator is 15. Which inequality statement matches this scenario, with x representing people on the elevator?

• x > 15

• x < 15

• X $$\le$$  15

• x $$\ge$$  15

Multiple Choice

Sarah wants to make at least $300 this summer babysitting. Which inequality statement matches this scenario, with x representing money?

• x < 300

• x > 300

• x $$\le$$  300

• x $$\ge$$  300

​Solve Quadratic Inequalities by Graphing

​Solve Quadratic Inequalities by Graphing

Multiple Choice

Solve the quadratic inequality:

$$x^2-14x+48>0$$  

• $$x<6\ ,\ \ x>8$$  

• $$6<x<8$$  

• $$-8<x<-6$$  

• $$x<-8\ ,\ \ x>-6$$  

Multiple Choice

Solve the quadratic inequality:

$$x^2-13x+22\le0$$  

• $$x\le-11\ ,\ \ x\ge-2$$  

• $$-11\le x\le-2$$  

• $$2\le x\le11$$  

• $$x\ge11\ ,\ \ x\le2$$  

Multiple Choice

Solve the quadratic inequality:

$$x^2+9x+18<0$$  

• $$x<-6\ ,\ \ x>-3$$  

• $$-6<x<-3$$  

• $$x<3\ ,\ \ x>6$$  

• $$3<x<6$$  

Multiple Choice

Solve the quadratic inequality:

$$x^2-4x-5\le0$$  

• $$-1\le x\le5$$  

• $$-5\le x\le1$$  

• $$x\ge5\ ,\ \ x\le-1$$  

• $$x\le-5\ ,\ \ \ x\ge1$$  

Multiple Choice

Solve the quadratic inequality:

$$x^2+3x-28\ge0$$  

• $$x\ge4\ ,\ \ x\le-7$$  

• $$x\ge7\ ,\ \ x\le-4$$  

• $$-4\le x\le7$$  

• $$-7\le x\le4$$  

Multiple Choice

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

• h < 48

• h > 48

• h ≤ 48

• h ≥ 48

Multiple Choice

Which of the following is the solution of the given Quadratic Inequality?

• x < -5 or x > -4

• x > -5 or x < -4

• x < 5 or x > 4

• x > 5 or x < 4

Multiple Choice

Does the sign need to flip when solving?
8y < (-40)

• YES
• NO

Multiple Choice

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400