Mathematical Concepts in Real-Life Situations

This video tutorial covers solving inequalities, matching sentences to inequalities, and calculating discounts on pizza prices. It includes examples and explanations of how to solve inequalities, find solutions, and represent situations with diagrams. The tutorial is designed for seventh-grade students and uses illustrative mathematics to teach these concepts.

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

• 65

• 67

• 70

• 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 less than

• It becomes an equality

• It changes to greater than

Which inequality represents the situation: 'If Tyler had twice the amount of money he has, he would have 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 this represent?

• 30%

• 25%

• 20%

• 15%

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

• $15.00

• $13.00

• $14.73

• $12.00

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

• $9.86

• $10.00

• $11.60

• $11.00

Which story matches the diagram with 3x + 1 = 7?

• Noah shares 7 grapes with 3 friends, eating 1 himself.

• Diego spends $1 on 7 stickers and 3 marbles.

• Lin spends $3 on 7 markers and $1 on a pen.

• Andre spends 7 hours on exams, 1 on English, and equal time on other subjects.

In the diagram story, what does the '1' unit represent in Noah's grape sharing?

• The number of grapes each friend gets

• The grape Noah eats

• The total number of grapes

• The number of friends

Which inequality matches the scenario: 'Elena spends $7 on 3 notebooks and a $1 pen'?

• 3x + 1 = 7

• 3x + 1 = 8

• 3x + 1 = 9

• 3x + 1 = 10

What is the main concept demonstrated by matching stories to diagrams?

• Understanding algebraic expressions

• Visualizing mathematical problems

• Solving complex equations

• Learning basic arithmetic