8.7 Writing and Graphing Inequalities

8.7 Writing and Graphing Inequalities

by Jennifer Netherton

​Success Criteria #1:

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​I can write word sentences as inequalities

​Watch the following video, then complete Succuess Criteria portion 1 of your notes

Fill in the Blank

Write the following word sentence as an inequality. Do not leave spaces in your answer.

A number "n" is greater than 1.

Fill in the Blank

Write the following word sentence as an inequality. Do not leave spaces in your answer

Twice a number "p" is fewer than 7.

Multiple Choice

Which correctly writes the following word sentence as an inequality

A number "w" minus 3 is less than or equal to 10.

• $$w-3<10$$  

• $$w-3>10$$  

• $$w-3\le10$$  

• $$w-3\ge10$$  

Multiple Choice

Which correctly writes the following word sentence as an inequality

A number "z" divided by 2 is at least -6

• $$\frac{z}{2}<-6$$  

• $$\frac{z}{2}>-6$$  

• $$\frac{z}{2}\le-6$$  

• $$\frac{z}{2}\ge-6$$  

​Watch the following video, then complete Success Criteria 2 portion of your notes

Multiple Choice

Tell whether 3 is a solution of the inequality

b + 4 < 6

• yes

• no

Multiple Choice

Tell whether 3 is a solution of the inequality

$$9\ -\ n\ \ge6$$  

• yes

• no

Multiple Choice

Tell whether 3 is a solution of the inequality

$$10\le18\div x$$  

• yes

• no

Multiple Choice

Tell whether the given value is a solution of the inequality.

$$d-5\le7\ \ \ ;\ \ \ d=9$$  

• yes

• no

Multiple Choice

Tell whether the given value is a solution of the inequality.

$$4y\ge24\ \ \ \ ;\ y=6$$  

• yes

• no

Multiple Choice

Tell whether the given value is a solution of the inequality.

$$\frac{m}{5}<6\ \ \ ;\ \ \ m=30$$  

• yes

• no

​Watch the following video, then complete Success Criteria 3 portion of your notes.

Fill in the Blank

Write an inequality the represents the following graph. Do not leave spaces in your answer. Use x as your variable

Fill in the Blank

Write an inequality the represents the following graph. Do not leave spaces in your answer. Use x as your variable

Multiple Choice

Which inequality represents the graph

• $$x<7$$  

• $$x>7$$  

• $$x\le7$$  

• $$x\ge7$$  

Multiple Choice

Which inequality represents the graph

• $$-3<p$$  

• $$-3>p$$  

• $$-3\le p$$  

• $$-3\ge p$$  

​Watch the following video, then complete the modeling real life portion of your notes

Fill in the Blank

The world record for the farthest flight by hoverboard is 2252.4 meters. Write an inequality that represents the distances that would set a new world record.

Use x for your variable. Do not leave spaces in your answer.

Fill in the Blank

Each visit to a water park costs $19.95. An annual pass to the park costs $89.95. Write an inequality that represents the number of times you would need to visit the park for the pass to be a better deal.

Do not leave spaces in your answer. Use x as your variable