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TExES Core Subjects 4-8 (211): Practice & Study Guide  /  General Courses

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TExES Core Subjects 4-8: Exponentials & Logarithms Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. Solve the exponential equation below for x:

Question 2 2. Which part of the logarithmic expression shown is the base?

Question 3 3. Which pattern of numbers is exponential?

Question 4 4. Which of the following is an exponential function?

Question 5 5. Solve, to 2 decimal places, the exponential equation below for x:

Page 2

Question 6 6. Every year a laptop is worth 1/3 of what it was worth for each year previous. If you have a $600 laptop, how much is it worth after 15 years?

Question 7 7. A value that a function will get infinitely close to, but never reach is called which one of the following?

Question 8 8. The inverse operation of a log is a(an) _____.

Question 9 9. Solve the exponential equation below for x:

Question 10 10. In an exponential function, the exponent is which one of the following?

Page 3

Question 11 11. According to the product property, you can use ______ to combine two logarithms that are separated by addition.

Question 12 12. When the base of a logarithm is not specified, it is assumed to be ________.

Question 13 13. Which of the following expressions are equivalent to each other?

Question 14 14. A logarithm is defined as which one of the following?

Question 15 15. A colony of bacteria starts with 9 bacteria at noon. If the number of bacteria triples every 20 minutes, how many bacteria will be present at 2:40 pm that afternoon?

Page 4

Question 16 16. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

Question 17 17. Solve the exponential equation below for x:

Question 18 18. Which of the following equations represents an exponential decay?

Question 19 19. If f(x) = abx, f(2) = 480 and f(5) = 30,720, then a = _____.

Question 20 20. You're saving up for a $16,000 car. If you put $6,000 in a bank account that gives you 12% interest each year, how many years, to 1 decimal place, will it take before you have enough money for the car?

Page 5

Question 21 21.

What is the diameter (D) of the lens (in mm) that is required by a telescope to see stars of magnitude (M) = 17?

Use the logarithmic equation M = 5 log D + 2 where M is magnitude and D is diameter.

Question 22 22. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Question 23 23. Solve the following equation for x: 2 +2ln(x) = ln(x) + ln(2).

Question 24 24. Which of these equations correctly represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year. So, since 90% of people still recognize her each year, how many people still know who Britney is each year?

Question 25 25. Use the following information to answer the question.

Page 6

Question 26 26. What does x' equal in the following equation:

TExES Core Subjects 4-8: Exponentials & Logarithms Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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