Earth Science January 2000 Questions Answers Keys.

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

REGENTS HIGH SCHOOL. EXAMINATION

THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS

COURSE I

Tuesday January 25, 2000 — 1:15 to 4:15 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. If x = 3 and y = 2, evaluate x _{2}y.**

**2. Solve for y: 2.5(y + 2) – 1.5y = 6**

**3. Hal has 5 pairs of sborts, 12 shirts, and 2 pairs of sandals.What is the total number of different Outfits of a pair of shorts, a shirt, and a pair of sandals that he can wear?**

**4. The sides of a triangle are represented by 2a, 3a — 4b, and a + 2b. Express the perimeter of the triangle as a binomial in terms of a and b.**

**5. Factor: x ^{2} – 25**

**6. In the accompanying diagram, transversal t intersects parallel lines a and b. m∠ I = 4x + 10. and m∠2 = 14x – 30. Find the value of x.**

**7. Solve for p in terms of x, q, and Cp — x = y**

**8. Solve for y: 2(5 – y) = 5(y-5)**

**9. An astronaut weighs 174 pounds on Earth and 29 poundS on the Moon. If his daughter weighs 108 pounds on Earth, what is the daughter’s weight on the Moon, in pounds?**

**10. The number of degrees in the measures of the angles of a triangle are represented by x, 3x + 7, and 4x + 5. Find the value of x.**

**11. Each letter in the word “MATH” is printed on a separate card. What is the probability of ran— domly selecting a card with a letter that has line symmetry?**

**12. In the accompanying diagram, ABCD is a rec tangle. If DB = 10 and DC = 8, find BC.**

**13. In a basketball game. 15 of 20 foul shots that michelle attempted were successful. What percent of her shots were not successful?**

**Directions(14—30)**: For each queStion chosen, write on the separate answer sheet the numeral pre ceding the word or expression that best completes the statement or answers the question.

- (1) 5x
^{2}y - (2) 5x
^{4}y^{3} - (3) 12x
^{2}y - (4) l8x
^{4}y^{3}

**15. In the accompanying graph. the color of the pants worn by the students in a class is Shown.**

What is the probability that a student selected at random from the class is wearing black pants?

**16. The value of 5! is**

- (1) 20
- (2) 60
- (3) 80
- (4) 120

**17. If p is true and q is false, which statement must also be true?**

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

**18. The sum of 2√3 and √27 is**

- (1) 11√3
- (2) 3√30
- (3) 5√3
- (4) 4√3

**19. Which expression represents a rational number?**

- (1) π
- (2) √3
- (3) √7
- (4) √16

**20. Which transformation is represented by the illustration?**

- (1) reflection
- (2) dilation
- (3) translation
- (4) rotation

- (1) —2
- (2) 2
- (3) 6
- (4) —4

**22. If the converse of a given statement is q → ∼p, what is the given statement?**

- (1) p → ∼q
- (2) ∼q→ p
- (3) ∼p → q
- (4) ∼q → ∼p

**23. Which ordered pair is the solution of this System of equations?**

**3x + 2y = 4**

**-2x + 2y = 24**

- (1) (-4,8)
- (2) (-4,-8)
- (3) (2,-1)
- (4) (2,-5)

**24. The greatest common monomial factor of 12x ^{2} and 8x^{3} is**

- (1) 96x
^{5} - (2) 12x
^{2} - (3) 8x
^{3} - (4) 4x
^{2}

**25. The expression (3x + 4)(2x — 6) is equivalent to**

- (1) 6x
^{2}— 24 - (2) 6x
^{2}— lOx— 24 - (3) 3x
^{2}— 12x — 24 - (4) 2x
^{2}+ 8x -24

**27. In Which set of data is the mean greater than the median?**

- (1) 2,5,6,8,8
- (2) 2,3,5,6,7,8
- (3) 2,4,5,6,6,7
- (4) 2,4,4,5,6,7,8

**29. If the circumference of a circle is 8π, what is the area of the circle?**

- (1) 64π
- (2) 8π
- (3) l6π
- (4) 4π

**30. The diagram below shows the graph of line m.**

Which equation represents this line?

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