Distance, Rate, and Age Problems

This video tutorial by Mr. Hul covers lesson nine, focusing on using IF-THEN moves and solving equations. It includes practical problems involving Heather's and Jake's practice schedules, Fred and Sam's race, and an age problem with Bonnie and Shelby. The tutorial emphasizes the use of equations and inverse operations to solve real-world problems.

How many hours per day did Heather practice soccer if she practiced piano for 2 hours each day and the total practice time for both was 20 hours over 5 days?

• 4 hours

• 1 hour

• 2 hours

• 3 hours

What is the inverse operation of addition used in solving equations?

• Subtraction

• Exponentiation

• Division

• Multiplication

If Jake practiced piano for a total of 2 hours over 5 days, how many hours per day did he practice soccer if the total practice time was 20 hours?

• 3 hours

• 4 hours

• 2.8 hours

• 3.6 hours

How many total hours did Fred and Sam take to complete their bike race if they started at 6:00 a.m. and finished at 2:33 a.m. the next day?

• 20.5 hours

• 19.5 hours

• 18 hours

• 22 hours

What is the formula used to calculate distance in the context of Fred's bike race?

• D = r + t

• D = r / t

• D = r - t

• D = r * t

If Fred's biking rate is 8 miles per hour, how far will he bike in 14 hours?

• 108 miles

• 112 miles

• 120 miles

• 100 miles

How is Sam's total distance expressed in terms of his time and rate?

• D = 4 / (20.55 - t)

• D = 4 - (20.55 - t)

• D = 4 * (20.55 - t)

• D = 4 + (20.55 - t)

If Shelby is seven times as old as Bonnie, and in five years their ages sum to 98, what is Bonnie's current age?

• 13 years

• 10 years

• 11 years

• 12 years

In the age problem, what is the expression for Shelby's age in terms of Bonnie's age?

• x + 7

• x - 7

• 7 - x

• 7x

What will be Bonnie's age in five years if her current age is 11?

• 17 years

• 16 years

• 18 years

• 15 years