# TASC Math: Graphing and Factoring Quadratic Equations Chapter Exam

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### Page 1

#### Question 1 1. What are the factors of 21?

#### Question 2 2. Use the Area Method to multiply the binomial (3x+2)(2x-4). Do not forget to combine like terms for your final answer!

#### Question 3 3. 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 4 4. Why can't you solve a quadratic equation simply by using inverse operations to get the variable by itself?

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Question 5
5.
A parabola that concaves up has *y*-values that go from 8 to 20. What is the minimum of this parabola?

### Page 2

#### Question 6 6. Which phrase describes a parabola that looks like an upside down U?

#### Question 7 7. For which of the following trinomials can completing the square be done without having to do any extra work on it?

#### Question 8 8. Scatter plots are used to look for what?

#### Question 9 9. Rewrite the following equation in the vertex form.

#### Question 10 10. What kind of graph is shown?

### Page 3

####
Question 11
11.
The following equation is written in which parabolic form?

y = 2*x*2 - 3*x* + 12

*x*2 - 3

*x*+ 12

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Question 12
12.
What are the factors of *x*2 + 7*x* - 30?

#### Question 13 13. Solve.

#### 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. Which of the following can be quickly identified when an equation is in vertex form ?

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#### Question 16 16. When completing the square on the quadratic equation listed below, how is c calculated?

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Question 17
17.
The points that intersect the *x*- or *y*-axis are called the _____.

#### Question 18 18. Solve.

#### Question 19 19. Given the following equation, y = 3(x + 5)(x + 9), x = 5 & x = 9 are _____

#### Question 20 20. In order to complete the square on the following equation, what value would you add to both sides?

### Page 5

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Question 21
21.
Which expression is the conjugate of *x*+11?

#### Question 22 22. What kind of graph is shown?

#### Question 23 23. Carlos drew a line that divides a parabola in two halves. This line goes through the _____.

####
Question 24
24.
What are the factors of this expression: 4*x*2 - 9 ?

#### Question 25 25. Solve.

### Page 6

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

#### Question 27 27. When using FOIL in reverse to factor a trinomial, the coefficient for which term needs two numbers to add up to it ?

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

#### Question 29 29. What would the first step be in completing the square of the following equation?

#### Question 30 30. Which of the following is FALSE regarding the binomial (2x+1)(3x-7)?

#### TASC Math: 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!