# Graphing and Factoring Quadratic Equations Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. What value of 'c' will make this polynomial a perfect square: x^2 + 10x + c ?

#### Question 2 2. Put the following into vertex form by completing the square: x^2 +4x.

#### Question 3 3. Multiply (2x - 5) (4x + 3).

#### Question 4 4. Solve the following using the quadratic formula: 12x^2 -14x +2.

#### Question 5 5. Solve for x: 3x (x -2) - 6 - x = 0.

### Page 2

#### Question 6 6. Factor the following: 2x^2 -13x +20.

#### Question 7 7. Which of the following are the factors of x^2 + 1 ?

#### Question 8 8. A line that divides a parabola in half is the _____

#### Question 9 9. What are the values for x that make this inequality true: x^2 + 2x+1 >0 ?

#### Question 10 10. If you put the path of a thrown projectile on graph paper, the highest point is its _____

### Page 3

#### Question 11 11. (y -1) (y -2) (y +2) is a full factorization for which of the following expressions ?

#### Question 12 12. Convert to vertex form by completing the square: x^2 + 6x -2

#### Question 13 13. Using the area method to solve: (2x - 1) (x + 6), which of the following four expressions will go in the boxes?

#### Question 14 14. Factor the following: 4x^2 + 8x - 32.

#### Question 15 15. Convert to vertex form by completing the square: x^2 + 18x +96.

### Page 4

#### Question 16 16. Simplify completely: (2x - 2) (x + 4).

#### Question 17 17. The roots of a parabola are where its graph _____

#### Question 18 18. Solve using the quadratic formula: 2x^2 -4x +2 = 0.

#### Question 19 19. What is the value of x in this expression: a^2 -7a + x = (2 - a) (3 - a) ?

#### Question 20 20. Using the quadratic formula, the solutions for x^2 + 2x -12 are approximately _____

#### Graphing and Factoring Quadratic Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!