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Integrated Algebra - New York Regents January 2015 Exam

                                             Part I
    Answer all 30 questions in this part. Each correct answer will receive 2 credits. No partial
credit will be allowed. For each question, write on the separate answer sheet the numeral
preceding the word or expression that best completes the statement or answers the question. [60]

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: Multiple choice

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1.

1 If A = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8, 10, 12}, the
  intersection of sets A and B is
(1) {10, 12}       (3) {1, 3, 5, 7}
(2) {2, 4, 6, 8}   (4) {1, 2, 3, 4, 5, 6, 7, 8, 10, 12}

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2.

2 What is the value of n in the equation 0.2(n - 6) = 2.8?
(1) 8   (3) 20
(2) 2   (4) 44

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3.

3 The expression
is equivalent to
(1) -4x2y3   (3) -4x9y4
(2) -4x3y3   (4) -4x3y2

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4.

4 Which situation is represented by bivariate data?
  (1) A student lists her algebra quiz grades for one month.
  (2) A wrestler records his weight before each match.
  (3) A musician writes down how many minutes she practices her
      instrument each day.
  (4) An ice cream vendor tracks the daily high temperature and how
      many ice cream bars he sells each day.

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5.

5 A cylinder has a circular base with a radius of 3 units and a height of
  7 units. What is the volume of the cylinder in cubic units?

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6.

6 The graph of f(x) is shown below.
Based on this graph, what are the roots of the equation f(x) = 0?
(1) 1 and -5                   (3) 2 and -9
(2) -1 and 5                   (4) -1 and -5 and 5

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7.

7 Jose wants to ride his bike a total of 50 miles this weekend. If he
  rides m miles on Saturday, which expression represents the number
  of miles he must ride on Sunday?
(1) m - 50   (3) 50 - m
(2) m + 50   (4) 50m

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8.

8 Four students are playing a math game at home. One of the math
  game questions asked them to write an algebraic equation.
Brandon wrote: 3(5x - 0)
William wrote: 7 < 2(6 + x)
Alice wrote: 15x
Kayla wrote: 11 = 2x + 3
Which student wrote an algebraic equation?
(1) Brandon                  (3) Alice
(2) William                  (4) Kayla

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9.

9 A student spent 15 minutes painting a 2-foot by 3-foot bulletin board.
  To the nearest tenth of a minute, how long did it take the student to
  paint 1 square foot?
  (1) 0.4                         (3) 2.5
  (2) 1.5                         (4) 3.5

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10.

10 What is an equation of the line that passes through the points (2,1)
   and (6,-5)?

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