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Write the expression 2i 15 - i 7 in the standard form a + bi. -1 b. -i d. 1 Q2.

Q1. Write the expression 2i15 - i7 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. 10i2 + 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 x2 + 144 = 0 in the complex number system.

    a. {-12, 12}

    b. {12}

    c. {12i}

    d. {-12i, 12i}

Q8. Solve x2 - 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 x3 - 5x2 + 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 x2 - 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 2x4 - 128x2 = 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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