Math Problem Solving Quiz

The video tutorial covers a series of math problems, including finding the sum of three different primes greater than 20, calculating averages, solving polynomial division, determining the lowest price after discounts, using geometry to solve for unknowns, and solving an age-related algebra problem. Each problem is explained step-by-step, with a focus on logical reasoning and mathematical calculations.

What is the smallest integer that can be expressed as the sum of three different prime numbers, each greater than 20?

• 84

• 83

• 82

• 81

If the average of 6, 8, and 10 is calculated, what is the result?

• 6

• 9

• 7

• 8

In the equation 7 + 9 + x = 24, what is the value of x?

• 9

• 8

• 7

• 6

What is the result of the expression (x^4 - x^3 + x^2) / (x - 1) when x = -1?

• 1

• 3/2

• -1

• -3/2

A toy originally costs $16. If it is discounted by 40% and then an additional 25%, what is the final price?

• $9.00

• $8.00

• $7.20

• $6.00

If a rectangular flowerbed has an area of 24 square yards and one side is 2 yards longer than the other, what is the length of the longer side?

• 12 yards

• 6 yards

• 8 yards

• 10 yards

Using the Pythagorean theorem, if one side of a right triangle is 6 and the other is 8, what is the length of the hypotenuse?

• 8

• 9

• 10

• 11

Jack is 14 years older than Bill. In 10 years, Jack will be twice as old as Bill. How old is Jack now?

• 38

• 28

• 48

• 18

If Jack is currently 18 years old, how old will he be in 5 years?

• 21

• 23

• 20

• 22

What mistake did the narrator initially make when solving the age problem involving Jack and Bill?

• Forgot to add 10 years to Bill's age

• Miscalculated the age difference

• Assumed Jack was younger than Bill

• Used the wrong equation for Jack's age