Mathematical Problem Solving Techniques

This video tutorial covers a range of math topics aimed at improving GED exam scores. It begins with calculating the perimeter of a triangle using the Pythagorean theorem, then moves on to multiplying binomials with the FOIL method. The tutorial also explains adding fractions, using order of operations, and solving quadratic equations. Additionally, it covers circle geometry, polynomial subtraction, and calculating the surface area of a cylinder. Techniques for multiplying and dividing fractions are also discussed.

What is the perimeter of a triangle with sides 6, 8, and 10?

• 22

• 20

• 24

• 18

Which method is used to multiply two binomials?

• Order of operations

• Quadratic formula

• Pythagorean theorem

• FOIL method

How do you solve a quadratic equation using the quadratic formula?

• By factoring the equation

• By completing the square

• By using the formula: x = [-b ± √(b²-4ac)] / 2a

• By graphing the equation

What is the result of multiplying 2 x 10^7 by 4 x 10^6 in scientific notation?

• 8 x 10^12

• 8 x 10^13

• 6 x 10^12

• 6 x 10^13

What is the result of adding 7 times 10^8 and 8 times 10^8 in scientific notation?

• 15 times 10^8

• 1.5 times 10^8

• 15 times 10^9

• 1.5 times 10^9

If a pie chart shows that 24% of a company's budget is allocated to research, how much is spent on research if the total budget is $800,000?

• $180,000

• $200,000

• $192,000

• $240,000

What is the probability of selecting a red marble from a bag containing 8 green, 7 blue, 6 yellow, and 4 red marbles?

• 1/5

• 4/25

• 2/25

• 1/4

What is the slope of a line passing through the points (2, -5) and (-3, 7)?

• 12/5

• -5/12

• -12/5

• 5/12

If the sum of two numbers is 29 and one number is five more than twice the other, what is the absolute difference between the two numbers?

• 11

• 13

• 9

• 15

How many cupcakes can Karen make in 8 hours if she can make 35 cupcakes in 3 hours?

• 100

• 93

• 280/3

• 75