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# Advanced Algebra Concepts 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. How many ways are there to choose five apples from 14 apples?

#### Question 2 2. Which of the following is a true statement about combinations?

#### Question 3 3. A mathematician goes shopping and sets his budget (in dollars) using the following set notation {x | x > 50 and x < 75} where x is the amount he will spend. Which of the following is within his budget?

#### Question 4 4. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

#### Question 5 5. How many distinct ways are there to arrange the letters in the word LIGHT?

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#### Question 6 6. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?

#### Question 7 7. Which of the following graphs represents the equation, y = -2x2 + 2x + 6?

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Question 8
8.
The following equation is written in which parabolic form?

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

*x*2 - 3

*x*+ 12

#### Question 9 9. Find the sum of the following geometric series:

#### Question 10 10. The formula for a finite geometric series is:

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#### Question 11 11. What makes solving inequalities different from solving equations?

#### Question 12 12. Inequalities can appear in which of the following types of equations?

#### Question 13 13. What is a binomial?

#### Question 14 14. Which of the following is the correct expansion of the expression below? (Hint: Use the FOIL method)

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Question 15
15.
What is the leading coefficient in the following quadratic equation: *y* = 6*x* 2 - 6*x* - 11?

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#### Question 16 16. A leading coefficient is attached to what?

#### Question 17 17. Which expression is equivalent to log having base = e?

#### Question 18 18. Evaluate the logarithm below to 2 decimal places.

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Question 19
19.
What does *x' equal in the following equation:*

#### Question 20 20. Which part of the logarithmic expression shown is the base?

### Page 5

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Question 21
21.
A statement that is *True* regardless of the truth values of all the variables in it is called a *tautology.* Choose the tautology from the list below.

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Question 22
22.
Let *m* stand for 'Math is fun', *n* stand for 'Today is Thursday', and *p* stand for 'It is raining.' Write a Boolean expression for the statement 'Today is Thursday and it's not raining, or math is fun.'

#### Question 23 23. Imagine you're working at a car dealership and are trying to decide which five out of nine models you're going to put on display. Is the group of cars you choose to put on display an example of a combination or pemutation?

#### Question 24 24. Which sentence best describes an 'OR' compound inequality?

#### Question 25 25. Assume you are at an ice cream shop and you order a bowl of ice cream with 3 scoops. There are 8 flavors to choose from. How many different bowls of ice cream can you have?

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#### Question 26 26. What is the equation of the axis of symmetry of the parabola given by the equation y = 6(x + 1)(x - 5)?

#### Question 27 27. Find the sum of the following geometric series:

#### Question 28 28. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

#### Question 29 29. Which of the following is the correct expansion of the expression below?

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Question 30
30.
What is the leading coefficient in the following expression? 4*y* - 9*y* 2

#### Advanced Algebra Concepts 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!