Equations and Inequalities Problems

What are the 3 requirements to flip an inequality sign? (PICK 3 ANSWERS)

• It must be an addition or subtraction problem

• You must have have a Negative number with your variable

• It must be a multiplication or division problem

• The problem must be an inequality problem.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Why did Sandra reverse the inequality symbol?

• When there is a negative number on the opposite side of the variable in an inequality, you must reverse the inequality symbol.

• When adding, subtracting, multiplying, or dividing both sides of an inequality by a negative number, you must reverse the inequality symbol.

• Sandra was wrong. You should never change the direction of an inequality symbol.

• When multiplying or dividing both sides of an inequality by a negative number, you must reverse the inequality symbol.

Mathematical Equivalence

OFF

• 
• 
• 
• 

• 
• 
• 
• 

Pick all of the inequalities for which the number line is a solution (PICK 2 ANSWERS)

• 
• 
• 
• 

• A

• B

• C

• D

Four scenarios are given. Match each scenario to the inequality that best represents the situation.

• Mrs. French’s cabinet has space to fit no more than 60 cans of soda. If soda is sold in packs of 12, what is x, the number of packs of soda Mrs. French can buy?

• Patricia’s tablet holds at most 60 GB of storage. If Patricia has used 12 GB of storage, what is x, the amount of storage still available on the tablet?

• To earn a prize, Eugene must sell no fewer than 60 carnival tickets. If Eugene has sold 12 tickets, what is x, the number of tickets he must sell to earn a prize?

• Danny saves $12 each week. What is x, the number of weeks he must save to have saved at least $60?