# DSST Math for Liberal Arts: Study Guide & Test Prep Final Exam

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#### Question 1 1. Given Set X = {5, 12, 17, 29, 63}, Set Y = {1, 8, 17, 28}, and Set Z = {5, 8, 12, 33}, what is the solution to the following expression?

#### Question 2 2. What is the corresponding value for the base-10 number 13 in the binary system?

#### Question 3 3. Which of the following expressions is equivalent to log base 10 (11/5)?

#### Question 4 4. In a truth table, the compound statement 'if-then' is expressed in which type of logical reasoning rule?

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Question 5
5.
If the line for the equation 14*x* + 7*y* = -35 is plotted on a Cartesian graph, where does the line intersect the *y*-axis?

#### Question 6 6. The freshman class of East High School has 88 students. Due to resource limitations, the freshman class must be divided up into 4 individual physical education classes that occur at different times of the day, with no more than 22 students per class. How many different combinations of students are possible in the 4 physical education classes?

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Question 7
7.
Given f(*x*) = 6*x*^2 + 12*x* and g(*x*) = 3*x*, what is the solution to f(*x*) / g(*x*)?

#### Question 8 8. Alan placed $15,000 in a savings account in which the interest is compounded semiannually at a 1.3% annual interest rate. How much money will be in Alan's account after 5 years?

#### Question 9 9. Bruce is a salesman at a jewelry store. During the four weekly periods of April 2018, Bruce sold $8391, $8511, $11054, and $9510 worth of merchandise, respectively. What was the mean value of his weekly sales that month?

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Question 10
10.
What type of number is the solution to the following division operation?

16 / -3

#### Question 11 11. A circular ice rink has a diameter of 20.4 meters. What is the internal area of the ice rink?

#### Question 12 12. How many ounces are in 11 liters of water?

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Question 13
13.
What is the solution for *x* in the following inequality: -4*x* - 19 < -3?

#### Question 14 14. Given the expression (4 × (10 + 17)^2) / 5, which mathematical operation should be performed first to arrive at the correct answer?

#### Question 15 15. Which of the following is a prime number?

#### DSST Math for Liberal Arts: 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!