# Math 101: College Algebra Final Exam

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#### Question 1 1. Which of the following combinations of inequalities will give rise to graphs with correctly described lines?

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Question 2
2.
Solve the inequality

4x + 8 > 5x +9

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Question 3
3.
If 2*x* - 8 ≥ 2, then

#### Question 4 4. Which of the following graphs represents the inequality 3y ≤ 2x +1?

#### Question 5 5. What is the square root of -144?

#### Question 6 6. What is the square root of -9?

#### Question 7 7. The expression (3i - 2)(i + 1) - 7 can be simplified to which of the following expressions?

#### Question 8 8. In the equation x^2 - 10x + 34 = 0, x is equal to which of the following solution sets?

#### Question 9 9. Evaluate the following:

#### Question 10 10. Write the following expression as a single logarithm. Simplify as much as possible.

#### Question 11 11. Simplify (combine) the logarithmic expression: 4log x - 5log y

#### Question 12 12. Which of the following expressions is equal to the expression below (hint: ln(e) = 1)?

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Question 13
13.
What is the value of the discriminant when using the quadratic formula to solve the equation 2*x*2 +10*x*-8 ?

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Question 14
14.
What is the result when you put the expression *x*2 +10*x*+41 into vertex form by completing the square ?

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Question 15
15.
The factors of *x*2-10*x*-24 are _____

#### Math 101: College Algebra Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!