ACT Math: Types 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. Which of the following is an exponential function?

Question 2 2. In an exponential function, the exponent is which one of the following?

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

Question 4 4. Find a * b if a = 2^6 and b = 2^8.

Question 5 5. A path of a baseball can be modeled with f(x) = -0.3x2 + 4x + 5. At what height did the batter hit the ball given the equation?

Page 2

Question 6 6. Determine the leading coefficient of a function f(x) that models a path of a kicked ball, if the starting point is at (0,0), the ball lands 9 feet away from the initial kick. Additionally, when the ball is 2 feet away from the kicker, it is 3 feet up in the air.

Question 7 7. Using the following, create a composite function.

Question 8 8. Using the following, create a composite function.

Question 9 9. Factor the quadratic x^2-4.

Question 10 10. 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 3

Question 11 11. Is y=2x+D-10 linear if given that D=4?

Question 12 12. A linear function must graph to a _____ line.

Question 13 13. What is the fourth term of this sequence?

Question 14 14.

Is the following sequence recursive?

3, 5, 7, 9, 11, 13

Question 15 15.

Evaluate the following piecewise function for x = 0 and x = 5.

f(x) = 2x - 3, x < 0

f(x) = x² - 1, x = 0

f(x) = x + 3, x > 0

Page 4

Question 16 16.

Your cell phone plan costs $75/month and gives you unlimited talking time and 500 text messages per month. After 500 text messages, it costs $0.10 per text you send.

If you send 870 texts in January, how much is your total cell phone bill?

Question 17 17. Which form is used for graphing quadratics?

Question 18 18. What shape does a quadratic always graph into?

Question 19 19. Calculate the first 5 terms in this recursive function.

Question 20 20. What is the third term in this recursive function?

Page 5

Question 21 21. What is the general form of a polynomial of degree 5?

Question 22 22. Fill in the blank: The degree of a polynomial is the _____ exponent of the variable of the polynomial.

Question 23 23. Which of the following models is linear?

Question 24 24. Suppose Sally goes out for a run. She starts off walking slowly, then jogs for a warm-up, then she continues to increase her speed quite quickly until the end of her run. What type of mathematical model should we use to represent her distance?

Question 25 25. 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 6

Question 26 26.

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

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 27 27. During a physics class, students are working on a project that measures a trajectory of a projectile fired straight upward in terms of its distance d (in feet) above the ground over the t seconds. The teacher provides the student with the following function that models the scenario d(t) = -16t2 + 400t. What is the maximum height the projectile can reach given the equation?

Question 28 28. Decompose this composite function in multiple ways.

Question 29 29. Factor x^2+4x-5.

Question 30 30. What is the minimum number of points needed to graph a linear function?

ACT Math: Types 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!

ACT Prep: Practice & Study Guide  /  English Courses
Support