GRE Quantitative Reasoning - Factoring with FOIL, Graphing Parabolas and Solving Quadratics: Tutoring Solution 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. A parabola that concaves up has y-values that go from 8 to 20. What is the minimum of this parabola?

Question 2 2. Why can't you solve a quadratic equation simply by using inverse operations to get the variable by itself?

Question 3 3. Which equation below contains a trinomial that can be readily rewritten as a perfect square binomial?

Question 4 4. Which quadratic equation below is in standard form and could be solved right away without doing any other algebra first?

Question 5 5. Solve the equation below.

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Question 6 6. Look at the choices below, which one correctly reflects the quadratic formula?

Question 7 7. In addition to 1 and 21, what are the factors of 21?

Question 8 8. Find the roots of the equation.

Question 9 9. When completing the square on the quadratic equation listed below, how is c calculated?

Question 10 10. When factoring quadratic expressions with a non-1 leading coefficient, what does the pattern tell us that the pair of numbers we use to find the binomials must multiply to?

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Question 11 11. Which of the following are the solutions to the equation below?

Question 12 12. Rewrite the following equation in the vertex form.

Question 13 13. Find the roots of the equation below.

Question 14 14. 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 15 15. What does the Zero Product Property tell us?

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Question 16 16. What is the b-value of the quadratic equation below?

Question 17 17. Which of the following is true about the vertex of a parabola?

Question 18 18. Rewrite the quadratic below in standard form:

Question 19 19. Solve the equation below.

Question 20 20. Which phrase describes a parabola that looks like an upside down U?

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Question 21 21. Which of the following quadratic equations would have a negative discriminant?

Question 22 22. Which expression is the conjugate of x+11?

Question 23 23. Solve the equation.

Question 24 24. Find the value for c and rewrite the equation in the vertex form.

Question 25 25. What would the first step be in completing the square of the following equation?

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Question 26 26. When completing the square, a quadratic trinomial is turned into _____ .

Question 27 27. The points that intersect the x- or y-axis are called the _____.

Question 28 28. When using FOIL in reverse to factor a trinomial, the coefficient for which term needs two numbers to add up to it ?

Question 29 29. Which method of multiplying binomials requires you to draw a chart with four blank spots to fill in?

Question 30 30. What is the equation of the axis of symmetry of the parabola given by the equation y = 6(x + 1)(x - 5)?

GRE Quantitative Reasoning - Factoring with FOIL, Graphing Parabolas and Solving Quadratics: Tutoring Solution 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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