1. If (3/y + 2)(y - 5) = 0, where y ≠ 0 and y ≠ 5, then y = 

(A) -3/2
(B) -2/3
(C) 2/3
(D) 3/2
(E) 6

2. If Esperanza will be 35 years old in 6 years, how old was she x years ago?

(A) 41 - x
(B) x - 41
(C) 35 - x
(D) x - 29
(E) 29 - x

3. Sofa Haven is having “a sale on top of a sale!” The price of a certain sofa, which already had been discounted by 20 percent, is further reduced by an additional 20 percent. These successive discounts are equivalent to a single discount of which of the following?

(A) 40%
(B) 38%
(C) 36%
(D) 30%
(E) 20%

4. In a previous year, the U.S. Census estimated that there were approximately 6.5 billion people in the world and 300 million in the United States. Approximately what percent of the world’s population lived in the United States that year?

(A) 0.0046%
(B) 0.046%
(C) 0.46%
(D) 4.6%
(E) 46%

5. To boost sales around the holidays, the government of the fictional country of Capitalitamia dictates that a citizen may purchase goods up to a total value of $1,000 tax-free but must pay a 7 percent tax on the portion of the total value in excess of $1,000. How much tax must be paid by a citizen who purchases goods with a total value of $1,220?

(A) $14.00
(B) $15.40
(C) $54.60
(D) $70.00
(E) $87.40

6. If 180/b = 5/2; what does b equal?

(A) 108
(B) 99
(C) 81
(D) 72
(E) 63

7. The arithmetic mean and standard deviation for a set of numbers are 9.5 and 1.5, respectively. Which of the following lies more than 2.5 standard deviations from the mean?

(A) 5.75
(B) 6
(C) 6.5
(D) 13.25
(E) 13.5

8. On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1/3 of the total distance and again after she traveled 1/4 of the distance remaining between her first stop and her destination. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance in miles from Traci’s starting point to Seal Beach?

(A) 250
(B) 300
(C) 350
(D) 400
(E) 550

9. If n is a positive integer and x + 3 = 4ⁿ, which of the following could not be a value of x?

(A) 1
(B) 13
(C) 45
(D) 61
(E) 253

10. If 3^(b-4-2c) = 9^(b-c), what is the value of b?
(A) −4
(B) 4/3
(C) 0
(D) 4/3
(E) 4

11. This stem-and-leaf plot shows the number of automobiles sold by 22 sales associates of Ace Auto Sales during the month of January. Next month, management wants to increase the average number of automobiles sold per sales associate to 35. If the number of sales associates remains at 22, on average how many additional automobiles will each sales associate need to sell next month for management to reach this goal?

(A) 3
(B) 5
(C) 32
(D) 35
(E) 110

12. For all a ≠ 0 and b ≠ 0, (4a⁴b³)²/(2a²b^-2) = ?

(A) 8a⁶b⁸
(B) 8a⁶b⁴
(C) 8a⁴b⁷
(D) 2a⁶b⁸
(E) 2a⁴b⁷

13. Akhil invests $1,200 in a certificate of deposit (CD) that earns 1.05% in interest compounded annually, which means that he earns 1.05% of his existing money yearly. The money he makes in interest is added to his account balance and rounded to the nearest cent. After four years, the CD matures. Akhil decides to use $400 of the funds to purchase a tablet and invest the remaining balance in another CD. How much money did Akhil invest in the second CD?

(A) $800.00
(B) $850.40
(C) $851.20
(D) $1,250.40
(E) $1,251.20

14. If w, x, y, and z are positive integers such that the ratio of w to x is 3 to 4, the ratio of x to z is 8 to 5, and the ratio of y to z is 3 to 2, what is the ratio of w to y?

(A) 5 to 9
(B) 4 to 5
(C) 5 to 4
(D) 9 to 5
(E) 16 to 5