ACT Math - Polynomials and Quadratics: Help and Review 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!

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Question 1 1. What is the b-value of the quadratic equation below?

Question 2 2. What does the zero product property tell us?

Question 3 3. Factor x^2 + 10x + 12.

Question 4 4. Find the solution to the equation below.

Question 5 5. Use the quadratic formula to find the solutions to the equation below.

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Question 6 6. Rewrite the following equation in vertex form.

Question 7 7. Solve the following equation.

Question 8 8. Which of the following quadratic equations would have a negative discriminant?

Question 9 9. Multiply (x + 4)(x - 3).

Question 10 10. Find the value for c that must be added to both sides, and rewrite the equation in the vertex form.

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Question 11 11. In order to complete the square on the following equation, what value would you add to both sides?

Question 12 12. Find the roots of the equation.

Question 13 13. For which of the following trinomials can completing the square be done without having to do any extra work on it?

Question 14 14. Which expression is the conjugate of x+11?

Question 15 15. Which of the following are the solutions to the equation below?

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Question 16 16. What would the first step be in completing the square of the following equation?

Question 17 17. Which quadratic equation below is in standard form and could be solved right away without first doing any other algebra?

Question 18 18. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 19 19. Find the solution to the equation below.

Question 20 20. Multiply the following binomials to form a trinomial: (x - 7) (x + 2).

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Question 21 21. If the equation below told you a ball was 'h' feet in the air after 't' seconds, what would be the first step to finding out when it hit the ground?

Question 22 22. In addition to 1 and 21, what are the factors of 21?

Question 23 23. Rewrite the quadratic below in standard form:

Question 24 24. Which equation below contains a trinomial that can be readily rewritten as a perfect square binomial?

Question 25 25. Factor the following polynomial: 5x^2 + 18x + 9.

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Question 26 26. Completing the square involves changing a quadratic equation from standard form into which one of the following?

Question 27 27. When completing the square, a quadratic trinomial is turned into which one of the following?

Question 28 28. Which one of the options below correctly reflects the quadratic formula?

Question 29 29. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 30 30. Which one of the following equations is in intercept form?

ACT Math - Polynomials and Quadratics: Help and Review 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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