7th Grade Math: Adding and Subtracting Rational Expressions

The video tutorial covers two main problems from a state testing preparation unit. The first problem involves calculating the selling price of a book after a markup and then determining the final price after a discount and sales tax. The second problem analyzes exercise routines, requiring the calculation of jogging minutes for two individuals over a week. The tutorial emphasizes the use of the percent equation and solving equations step-by-step, with a focus on real-world applications and ensuring answers make sense.

What is the purpose of using a calculator in the problems discussed in the video?

• To ensure accuracy in complex calculations

• All of the above

• To reduce the time spent on solving

• To handle large numbers easily

If a book is purchased for $15 and marked up by 40%, what is the new selling price?

• $22

• $18

• $21

• $20

How does a markup affect the original price of an item?

• Decreases the price

• Does not change the price

• Increases the price

• None of the above

Why is it necessary to check if the calculated selling price makes sense in real-world scenarios?

• To teach the importance of verification

• To apply the concept in practical situations

• To ensure the calculation is correct

• All of the above

What is the final price of a book originally priced at $38 after a 25% discount and 6% sales tax?

• $30.21

• $35.00

• $32.50

• $28.50

What is the correct sequence of operations for applying a discount and then a sales tax?

• Add tax, then subtract discount

• Subtract discount, then add tax

• Add both discount and tax

• Subtract both discount and tax

What is the importance of converting percentages to decimals in calculations involving discounts and taxes?

• All of the above

• It increases the accuracy of the results

• It is required by mathematical rules

• It simplifies the multiplication process

How many minutes did 'S' jog each day if he exercised a total of 240 minutes in five days, including 25 minutes of stretching?

• 45 minutes

• 50 minutes

• 40 minutes

• 43 minutes

If Elena stretched for 75 minutes over five days, how many minutes did she jog each day to reach a total of 300 minutes of exercise?

• 40 minutes

• 45 minutes

• 50 minutes

• 35 minutes

What mathematical operation is used to solve for the daily jogging minutes in the problem involving 'S' and Elena?

• Addition

• Subtraction

• Multiplication

• Division