Earth Science January 1999 Questions Answers Keys.

**The University of the State of New York**

REGENTS HIGH SCHOOL. EXAMINATION

THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS

COURSE I

Thursday January 28, 1999 — 9:15 to 12:15 p.m., only

**Answers** **30 question from this part. Each correct answer will receive 2 credits. No partial credit will be allowed. Write your answers in the spaces provided on the separate answer sheet.Where applicable, answers may’ be left in terms of π or in radical form.**

**1. A basketball player made 15 foul shots, which is 75% of the total number the player attempted. How many foul shots did this player attempt?**

**2. Solve for x: 4(3x — 5) = 5(2x + 4)**

**3. The accompanying histogram shows the height distribution for students in a high school mathematics class. What is the total number of students in the class?**

**4. In the formula z = xy ^{2}. find z if x = 4 and y = —3.**

**5. The scores 12, 14, 16, and x have a mean of 15. Find the value of x.**

**6. The circumference of a circle is 128π. What is the radius of the circle?**

**7. Solve for x in terms of p and a: 2x + a = p**

**8. Solve the following system of equations for x:**

**3x + y = 17**

**2x — y = —12**

**9. Factor: 9x ^{2}—25**

**10. If two supplementary angles are in the ratio 8:1, how many degrees are in the measure of the smaller angle?**

**12. If the length of the hypotenuse of a right triangle is 17 and the length of one leg is 8, what is the length of the other leg?**

**13. From 9x ^{2} — 8x + 6, subtract 7x^{2} — 2x + 6.**

**Directions:** For each question chosen, write on the separate answer sheet the numeral preceding the word or expression that best completes the statement or answers the question.

**14. The length of each side of a regular hexagon is represented by 3x + 4. Which expression represents the perimeter of the hexagon?**

- (1) 3x + 10
- (2) 3x + 24
- (3) 18x + 4
- (4) 18x + 24

**15. The product of 3x ^{4} and 2x^{4} is**

- (1) 5x
^{4} - (2) 5x
^{8} - (3) 6x
^{4} - (4) 6x
^{8}

**16. In the equation 0.03x – 0.1 = 2.6, what is the value of x?**

- (1) 9
- (2) 90
- (3) 120
- (4) 130

**17. If x is a member of the set of integers, the solution set of -4 <x ≤ 1 is**

- (1) {—4,—3,—2,0}
- (2) {—4,—3,-2,0,1
- (3) {—3,—2,—1,0,1)
- (4) {—3,—2,0)

**18. Which expression is equivalent to the expression (2x + 4)(x—6)?**

- (1) 2x
^{2}—24 - (2) 2x
^{2}—8x—24 - (3) x
^{2}—4x-12 - (4) 2x
^{2}+4x—24

- (1) 6x
^{2}—3x - (2) 25x
^{2}— 10x - (3) 6x
^{2}—3x+ 1 - (4) 25x
^{2}— 10x + 1

**20. If the length of a rectangle is 5√4 and the width is 2√1, what is the area of the rectangle?**

- (1) 1√6
- (2) 7√6
- (3) 7√5
- (4) 10√5`

**21. Which letter does not have a line of symmetry?**

- (1) S
- (2) O
- (3) X
- (4) H

- (1) —2
- (2) 2
- (3) —14
- (4) 14

**23. If 0.000063 is expressed in the form 6.3 x 10 ^{n}, what is the value of n?**

- (1) 5
- (2) —5
- (3) —4
- (4) 4

**24. Which statement is true when p is false and q is true?**

- (1) p ↔ q
- (2) q → p
- (3) p ∧ q
- (4) ∼p ∨ q

**25. What is the positive value of x in the equation**

**x ^{2}—x—6 = 0?**

- (1) 1
- (2) 2
- (3) 3
- (4) 6

What is the area of the trapezoid?

- (1) 440
- (2) 228
- (3) 220
- (4) 180

**27. If y varies directly as x and y = 8 when x = 3, what is the value of y when x = 9?**

**28. The area of a square is represented by 36x ^{2} Which expression represents the length of each side of the square?**

- (1) 6x
- (2) 9x
- (3) 6x
^{2} - (4) 9x
^{2}

**29. What is the converse of the statement “If you used too much milk, then your cereal is soggy”?**

- (1) If your cereal is soggy, then you did not use too much milk.
- (2) If you did not use too much milk, then your cereal is not soggy.
- (3) If your cereal is not soggy, then you did not use too much milk.
- (4) If your cereal is soggy, then you used too much milk.

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