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Inequalities Review

Last updated almost 5 years ago

12 questions

1

Which TWO inequality statements are represented by the graphs shown below? Select ALL that apply.

1

Write the word sentence as an inequality:
A number k minus 8.4 is greater than 21.

1

Solve the inequality. Graph the solution.

1

Solve the inequality. Graph the solution.

1

Solve the inequality. Graph the solution.

1

Solve the inequality. Graph the solution.

1

Solve the inequality using inverse operations. Graph your solution.

1

Solve the inequality using inverse operations. Graph your solution.

Use the following piece of information to answer the next three questions:

A commercial airplane can carry a maximum of 80,000 kilograms of weight.

1

Part A
The plane itself weighs 41,000 kilograms. Which inequality and solution represent the remaining weight (w) that can be added.

1

Part B
The fuel to be used by the plane weighs 18,000 kilograms in addition to the weight of the plane itself. Which inequality and solution represent the remaining weight (w) that can be added after accounting for the weight of the plane and fuel?

1

Part C
The combined weight of the cargo, crew and passengers is 22,000 kilograms. Will the airplane be cleared for takeoff? Explain why or why not.

1

CHALLENGE QUESTION!

Bryson wants to run for class president at his school. Before he can campaign, he needs at least 80 signatures supporting his nomination. He already has 24 signatures. Bryson and his three friends decide to collect virtual signatures during their Science classes. If each person gets the same number of signatures, what is the minimum number of signatures each person needs to collect in order for Bryson to run his presidential campaign? Write your final solution as an inequality statement.