Earth Science January 1998 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 29, 1998 — 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. Solve for t: 0.09t – 3.6 = 1.44**

**3. The perimeter of a parallelogram is 32 meters and the two shorter sides each measure 4 meters. What is the length, in meters, of each of the longer sides?**

**6. Let p represent “It was a warm summer day,” and let q represent “The family went to the beach.” Using p and q. write in symbolic form: “If the family went to the beach, then it was a warm summer day.”**

**7. If point (k,5) is on the graph of the equation 3x — 4 = y, what is the value of k?**

**8. If 321,000,000,000 is written in the form 3.21 x 10 ^{n}, what is the value of n?**

**9. If a = —2 and b = —3, what is the value of 3a ^{2}b?**

**10. Find the sum of 3x ^{2 }+ 5x -1 and x^{2}-2x—7.**

**13. When simplified, √50 equals x√y. If x and y are both integers, what is the value of x?**

**15. Express (4x — 5)(6x + 5) as a trinomial.**

**17. The volume of a rectangular solid is 80 cubic centimeters, the length is 2 centimeters, and the width is 4 centimeters. Find the number of centimeters in the height of the rectangular solid.**

**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.

**18. If the length of a rectangle is represented by 20a and the width is represented by 0.4a, the area of the rectangle is represented by**

- (1) 50a
- (2) 80a
^{2} - (3) 20.4a
^{2} - (4) 8a
^{2}

**20. If p represents “All sides are congruent” and q represents “All angles are congruent,” then for which figure will the statement p ∧ q be true?**

- (1) rectangle
- (2) rhombus
- (3) square
- (4) trapezoid

**21. Which statement is true for the following group of data?**

**11, 13, 18, 19,19**

- (1) mean > median
- (2) mean > mode
- (3) mode = median
- (4) median < mode

**22. What is the converse of r →∼ s?**

- (1) ∼ s → r
- (2) r
**→**s - (3)
**∼ s →****∼**r - (4) s →
**∼**r

**23. When x is an integer, what is the solution set of 5 ≤ x < 8?**

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

**24. What is the greatest Common fictor of 24a ^{2}b and 18abc?**

- (1) 6
- (2) 6ab
- (3) 6a
^{2}b - (4) 6abc

**25. Which measure is always the same as the 25th percentile?**

- (1) mean
- (2) median
- (3) upper quartile
- (4) lower quartile

**26. If 21x ^{3} – 42x^{2} + 3x is divided by 3x, the quotient is**

- (1) 7x
^{2}— 14x + 1 - (2) 7x
^{3}—42x^{2}+3x - (3) 7x
^{2}— 14x - (4) 7x
^{2}+ 14x—1

- (1) 0
- (2) 2 or—3
- (3) —2 or 3
- (4) —1

**28. If 9x + 2a = —3a + 4x, then x equals**

- (1) 1
- (2) 0
- (3) —a
- (4) —5a

**29. At which point will the graphs of the equations 2x + y = 8 and x — y = 4 intersect?**

- (1) (0,4)
- (2) (4,0)
- (3) (—4,0)
- (4) (5,—2)

**30. What is the value of _{5}P_{3}?**

- (1) 6
- (2) 15
- (3) 60
- (4) 125

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