**Q1. Write the expression 2i**^{15}** - i**^{7}** in the standard form a + bi.**

** ** a. -1

b. i

c. -i

d. 1

** Q2. Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} andB = {2, 3, 5, 7} to find the set B.**

** ** a. {0, 1, 4, 6, 9}

b. {0, 1, 4, 6, 8, 9}

c. {0, 1, 4, 6, 7, 8, 9}

d. {1, 4, 6, 8, 9}

** Q3. B = {18, √6, -11, 0, 0/3, 0.33, -6π, 0.999...}. List all the elements of B that are irrational numbers.**

** ** a. {√6, -6p, 0.999...}

b. {√6, 0/3, -6π}

c. {√6}

d. {√6, -6π}

** Q4. Write the expression (3 + 5i)(8 + 2i) in the standard form a + bi.**

** ** a. 34 + 34i

b. 14 - 46i

c. 14 + 46i

d. 10i^{2} + 46i + 24

** Q5. An inheritance of $210,000 is to be divided among Chris, Kelly, and Julie in the following manner: Kelly is to receive 3/5 of what Chris gets, while Julie gets 1/2 of what Chris gets. How much does Kelly receive?**

** ** a. $20,000

b. $60,000

c. $100,000

d. $50,000

** Q6. Multiply each side of the inequality 2 - 4x ≥ -2 by 5. What is the resulting inequality?**

** ** a. 10 - 20x ≥ -10

b. 10 - 20x ≤ -10

c. 10 - 4x ≤ -10

d. 10 - 4x ≥ -10

** Q7. Solve the equation x**^{2}** + 144 = 0 in the complex number system.**

** ** a. {-12, 12}

b. {12}

c. {12i}

d. {-12i, 12i}

** Q8. Solve x**^{2}** - 2x - 24 = 0 by using completing the square.**

** ** a. {√5, -1}

b. {-6, 4}

c. {-20, -4}

d. {6, -4}

** Q9. Find the real solutions of the equation x**^{3}** - 5x**^{2}** + 6x = 0 by factoring.**

** ** a. {0, -2, -3}

b. {2, 3}

c. {-2, -3}

d. {0, 2, 3}

** Q10. Solve the inequality. Express your answer using interval notation. Graph the solution set.**

** **

** 4x + 1 > 3x - 4**

** ** a. (-∞, -5]

b. (-3, ∞)

c. [-5, ∞)

d. (-5, ∞)

** Q11. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 100 pounds of the cashews to get a cashew-peanut mixture that will sell for $8 per pound. How many pounds of peanuts should be used?**

** ** a. 225 lb

b. 450 lb

c. 175 lb

d. 350 lb

** Q12. Express the graph shown using interval notation. Also express it as an inequality involving x.**

** **

** **

** ** a. (5, ∞)

x > 5

b. [5, ∞)

x ≥ 5

c. (-∞, 5]

x ≤ 5

d. (-∞, 5)

x < 5

** Q13. Solve x**^{2}** - 6x - 27 = 0 by factoring.**

** ** a. {-3, 9}

b. {-3, -9}

c. {3, 9}

d. (3, -9}

** Q14. Find the real solutions of the equation (x + 3)**^{1/3}** = -2.**

** ** a. {1}

b. {-9}

c. {-11}

d. no real solution

** Q15. During a hurricane evacuation from the east coast of Georgia, a family traveled 210 miles west. For part of thetrip, they averaged 50 mph, but as the congestion got bad, they had to slow to 10 mph. If the total time of travel was 8 hours, how many miles did they drive at the reduced speed?**

** ** a. 57.5 mi

b. 42.5 mi

c. 52.5 mi

d. 47.5 mi

** Q16. Fill in the blank with the correct inequality symbol. If x < 6, then -3x ____ -18.**

** ** a. <

b. ≥

c. ≤

d. >

** Q17. Find the real solutions of the equation 2x**^{4}** - 128x**^{2}** = 0 by factoring.**

** ** a. {-8√2, 0, 8√2}

b. {0}

c. {-8, 0, 8}

d. {-8, 8}

** Q18. Solve the rational equation x/(x-1)+6=1/(x-1)**

** ** a. {-1}

b. {1,-1}

c. {1}

d. no solution

**Q19. Find the real solutions of the equation x + √x = 56.**

** ** a. {8}

b. {49}

c. {7}

d. {64}

** Q20. Solve P-5Q/3=(P+7)/2+1 for P.**

** ** a. P = (15 - 10Q)/3

b. P = (27 + 10Q)/3

c. P = (27 - 10Q)/3

d. P = (15 + 10Q)/3

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