# DSST Fundamentals of College Algebra: Study Guide & Test Prep Final Exam

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Question 1
1.
What is the solution for the following inequality?

|12*x* - 30| < 18

*x*- 30| < 18

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Question 2
2.
What is the simplification of the following radical expression?

√27*x*^8 / √3*x*^2

*x*^8 / √3

*x*^2

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Question 3
3.
What are the roots of the following quadratic equation?

9*x*^2 + 9*x* - 30 = 0

*x*^2 + 9

*x*- 30 = 0

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Question 4
4.
What is the solution to the following multiplication operation?

(*x*^5 *y*^3)^3 × (*x*^-4 / *y*^-3)

*x*^5

*y*^3)^3 × (

*x*^-4 /

*y*^-3)

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Question 5
5.
Which of the following values is a solution for *x* in this algebraic expression?

(6*x* - 1)^2 - (6*x*)^2 / 4*x* + 12*x* / 4 = 73

*x*in this algebraic expression?

*x*- 1)^2 - (6

*x*)^2 / 4

*x*+ 12

*x*/ 4 = 73

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Question 6
6.
What is the solution to (11*x* - 5)(4*x* - 7)?

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Question 7
7.
What value is the remainder from the following polynomial division operation?

(*x*^3 - 3*x*^2 + 6*x* - 6) / (*x* + 3)

*x*^3 - 3

*x*^2 + 6

*x*- 6) / (

*x*+ 3)

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Question 8
8.
Which is the correct answer to the following complex number division operation?

(12 - 3i) / (6 + 4i)

#### Question 9 9. What is the determinant of the following matrix?

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Question 10
10.
What is the domain of f(*x*) = e^*x* * (*x* - 7) / (*x* - 3)

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Question 11
11.
What is the inverse of the function f(*x*) = -8*x* - 10?

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Question 12
12.
What is the solution for *x* in the following inequality?

-7/4*x* - 4 > 31

*x*in the following inequality?

*x*- 4 > 31

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Question 13
13.
If the line for the equation 20*x* - 10*y* = 30 is plotted on a Cartesian graph, where does the line intersect the *x*-axis?

#### Question 14 14. A husband and wife leave their home in separate cars to drive to church. The husband leaves their home 10 minutes after his wife. The church is 30 miles away from the home. If the wife's car travels at a constant speed of 35 miles per hour and the husband's car travels at a constant speed of 45 miles per hour, at what distance from their home will the husband's car pass his wife's car?

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Question 15
15.
What is the solution to the following addition operation?

48/12*x* + 3/6*x* - 11/4*x*

*x*+ 3/6

*x*- 11/4

*x*

#### DSST Fundamentals of College Algebra: Study Guide & Test Prep 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!