# Factoring and Graphing Quadratic Equations: Help and Review Chapter Exam

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

#### Question 2 2. When completing the square on the quadratic equation listed below, how is c calculated?

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Question 3
3.
A parabola that concaves up has *y*-values that go from 8 to 20. What is the minimum of this parabola?

#### Question 4 4. What is the equation of the axis of symmetry of the parabola given by the equation y = 6(x + 1)(x - 5)?

#### Question 5 5. Carlos draws a line through the middle of the parabola that divides the parabola into two equal halves. This line is called the _____.

### Page 2

#### Question 6 6. Which of the following are the solutions to the equation below?

#### Question 7 7. Use the quadratic formula to find the solutions to the equation below.

#### Question 8 8. Which method of multiplying binomials requires you to draw a chart with four blank spots to fill in?

#### Question 9 9. Once you come up with the pair of numbers to fit the pattern, where do you insert them into the area model?

#### Question 10 10. True or False: This is the graph of a function.

### Page 3

#### Question 11 11. Solve the equation below.

#### Question 12 12. Which phrase describes a parabola that looks like an upside down U?

#### Question 13 13. What does the Zero Product Property tell us?

#### Question 14 14. Solve the equation below.

#### Question 15 15. 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?

### Page 4

#### Question 16 16. True or False: This is the graph of a function.

#### Question 17 17. What information do we need to graph a circle?

#### Question 18 18. Which of the following quadratic equations would have a negative discriminant?

#### Question 19 19. Find the center and radius of the following equation:

#### Question 20 20. What is the b-value of the quadratic equation below?

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#### Question 21 21. Why can't you solve a quadratic equation simply by using inverse operations to get the variable by itself?

#### Question 22 22. 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?

#### Question 23 23. When using FOIL in reverse to factor a trinomial, the coefficient for which term needs two numbers to add up to it ?

#### Question 24 24. When completing the square, a quadratic trinomial is turned into _____ .

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Question 25
25.
The points that intersect the *x*- or *y*-axis are called the _____.

### Page 6

#### Question 26 26. What do the letters in FOIL stand for?

#### Question 27 27. True or False: This is the graph of a function.

#### Question 28 28. Rewrite the following equation in the vertex form.

#### Question 29 29. Choose the equation for the following circle:

#### Question 30 30. Find the center and radius of the following equation:

#### Factoring and Graphing Quadratic Equations: 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!