# Graphing and Factoring Quadratic Equations Chapter Exam

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### Page 1

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

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

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

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

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

### Page 2

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

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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 _____

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

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

### Page 3

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

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

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

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

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

### Page 4

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

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

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

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

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Question 20
20.
Using the quadratic formula, the solutions for *x*2 + 2*x* - 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!