Inequalities and Word Problems

The video tutorial covers solving inequalities, matching sentences to inequalities, and applying inequalities to real-world problems like pizza pricing. It includes step-by-step solutions and explanations for each problem, emphasizing the importance of changing inequality signs when dividing by negative numbers. The tutorial also demonstrates how to represent situations with diagrams and encourages viewers to support the channel.

If x + 3 > 70, which of the following values for x would make the inequality true?

• 70

• 67

• 65

• 66

For the inequality -5x < 2, what happens to the inequality sign when both sides are divided by -5?

• It remains the same

• It changes to greater than

• It changes to less than

• It becomes an equality

Which inequality represents the situation: 'If Tyler had twice the amount of money he has, he would have less than twenty dollars'?

• 2x < 20

• x/2 < 20

• x + 2 < 20

• x - 2 < 20

Which inequality represents the situation: 'My spent two dollars and has less than twenty dollars'?

• x/2 < 20

• 2x < 20

• x - 2 < 20

• x + 2 < 20

A coupon makes a large pizza $13, down from $16.25. What percentage discount does the coupon provide?

• 25%

• 20%

• 30%

• 15%

Your friend buys a medium pizza for $10.31 with a 30% discount. What is the original price of the pizza?

• $15.00

• $14.73

• $13.00

• $12.00

If a friend has a 15% off coupon and $10, what is the most expensive pizza they can buy?

• Extra-large pizza

• Small pizza

• Medium pizza

• Large pizza

Which story matches the diagram with three x's and one unit equaling seven?

• Diego spends one dollar on seven stickers and three marbles.

• Lin spends three dollars on seven markers and a pen.

• Noah shares seven grapes with three friends and eats one.

• Andre spends seven hours on exams, one on English and equal on others.

In the diagram, what does the one unit represent in the story where Noah shares grapes?

• One hour studied

• One grape given

• One grape eaten

• One dollar spent

What does the three x's in the diagram represent in the story where Elena spends money?

• Three marbles

• Three stickers

• Three pens

• Three notebooks