ILTS Elementary Education (Grades 1-6) (197-200, 305): Practice & Study Guide  /  General Courses

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Properties & Operations of Functions 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. What is the inverse function of f(x) = 3(x - 2)3?

Question 2 2. Which of the following is the inverse function of f(x) = 3x?

Question 3 3. Which of the following is the inverse function of f(x) = 2x - 3?

Question 4 4. Find f * g(-3) if f(x) = 2x^2 and g(x) = -4x

Question 5 5. Find f + g (3) if f(x) = 2x - 7 and g(x) = -5x - 2

Page 2

Question 6 6. What is a function?

Question 7 7. Find x if 4x = 2^4.

Question 8 8.

Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 9 9. Which of the following equals (x^2)/(x^3*x^n)?

Question 10 10.

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.

Page 3

Question 11 11. Solve for x in the equation log(3x) + log(5) = 1.

Question 12 12. The inverse operation of a log is a(an) _____.

Question 13 13.

How many vertical asymptotes does the following function have?

R(x) = ((x - 1)(x + 1)) / ((x + 2)(x - 3)(x + 4))

Question 14 14. Find all vertical asymptotes for the following function:

Question 15 15. Which of the following is NOT a rational function?

Page 4

Question 16 16.

Solve the following equation:

10x - 3 = 10

Question 17 17. For which of the following problems will you use the natural log to help you solve it?

Question 18 18.

Solve the following equation:

10x + 9 = 11

Question 19 19. Factor the quadratic x^2-4.

Question 20 20. Use factoring to find a solution of the following equation: 2x^2+8x = x^2+2x-8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3-x), then x must be 0 or (3-x) must be 0.)

Page 5

Question 21 21. Expand f(x) = (x+3)^2.

Question 22 22.

Solve.

x/3 = 2

Question 23 23. What are the intervals of this inequality?

Question 24 24. What is a rational function?

Question 25 25. What is the domain of √(x)?

Page 6

Question 26 26. The amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. What are the independent and dependent variables in this function?

Question 27 27. Evaluate f(x) = √(x), when x = 9.

Question 28 28. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Question 29 29. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 30 30. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Properties & Operations of Functions 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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