Mathematics Problem Solving Quiz

The video tutorial covers several math problems, including identifying errors in a student's logarithmic solution, solving a radioactive decay problem, understanding exponential growth in bacteria, and graphing exponential functions. Each section provides a detailed walkthrough of the problem-solving process, highlighting key concepts and common mistakes.

In the student's solution to the logarithmic equation, what was the first mistake made?

• Incorrectly factoring the quadratic expression

• Incorrectly simplifying the logarithmic expression

• Incorrectly identifying the value of log base 5 of 125

• Incorrectly subtracting 3 from both sides

What is the correct value of log base 5 of 125?

• 2

• 3

• 5

• 4

In the radioactive decay problem, what is the remaining quantity of the element after 900 years?

• 100 grams

• 500 grams

• 250 grams

• 125 grams

What is the initial quantity of the radioactive element in the decay problem?

• 500 grams

• 1000 grams

• 2000 grams

• 1500 grams

In the bacterial growth problem, what is the growth factor used in the exponential equation?

• 4

• 3

• 2

• 1

What is the initial number of bacteria in the culture?

• 200

• 150

• 100

• 50

Which equation correctly represents the exponential growth of bacteria in the culture?

• y = 100 * 2^t

• y = 200 * 3^t

• y = 100 * 3^t

• y = 200 * 2^t

In the graphing problem, which value of x results in a point closest to the x-axis?

• 8/3

• 5/3

• 3/4

• 1/4

What is the y-intercept of the graph of the function y = 2^x?

• 3

• 0

• 1

• 2

As x becomes more negative in the function y = 2^x, what happens to the value of y?

• It oscillates

• It increases

• It remains constant

• It decreases