# Integrated Algebra 28 January 2010

Integrated Algebra 28 January 2010 Questions Answer Keys

The University of the State of New York
Regents High School Examination
Integrated Algebra
Thursday, January 28, 2010 — 1:15 to 4:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

1. The box-and-whisker plot below represents the math test scores of 20 students.

What percentage of the test scores are less than 72?

• (1) 25
• (2) 50
• (3) 75
• (4) 100

2. A bag contains eight green marbles, five white marbles, and two red marbles. What is the probability of drawing a red marble from the bag?

• (1) 1/15
• (2) 2/15
• (3) 2/13
• (4) 13/15

3. Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for \$5.00. Marvin went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for \$6.00. How much does one chocolate chip cookie cost?

• (1) \$0.50
• (2) \$0.75
• (3) \$1.00
• (4) \$2.00

4. Given:

Q = {0, 2, 4, 6}
W= {0, 1, 2, 3}
Z = {1, 2, 3, 4}

What is the intersection of sets Q, W, and Z?

• (1) {2}
• (2) {0, 2}
• (3) {1, 2, 3}
• (4) {0, 1, 2, 3, 4, 6}

5. Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?

• (1) p ≥ 78
• (2) 8p ≥ 78
• (3) 8 + p ≥ 78
• (4) 78 − p ≥ 8

6. In a science fiction novel, the main character found a mysterious rock that decreased in size each day. The table below shows the part of the rock that remained at noon on successive days.

Which fractional part of the rock will remain at noon on day 7?

• (1) 1/128
• (2) 1/64
• (3) 1/14
• (4) 1/12

7. In the diagram below, what is the slope of the line passing through points A and B?

• (1) −2
• (2) 2
• (3) −½
• (4) ½

8. Which equation shows a correct trigonometric ratio for angle A in the right triangle below?

• (1) sin A15/17
• (2) tan A8/17
• (3) cos A = 15/17
• (4) tan A15/8
Answer: (3) cos A = 15/17

9. Debbie solved the linear equation 3(x + 4) − 2 = 16 as follows:

She made an error between lines

• (1) 1 and 2
• (2) 2 and 3
• (3) 3 and 4
• (4) 4 and 5

10. The value of the expression −|a − b| when a = 7 and b = −3 is

• (1) −10
• (2) 10
• (3) −4
• (4) 4
• (1) 6x2 − 3x
• (2) 10x2 − 4x
• (3) 6x2 − 3x + 1
• (4) 10x2 − 4x + 1
Answer: (3) 6x2 − 3x + 1

12. Which ordered pair is a solution of the system of equations shown in the graph below?

• (1) (−3, 1)
• (2) (−3, 5)
• (3) (0,−1)
• (4) (0,−4)

13. Which equation represents the line that passes through the points (−3,7) and (3,3)?

• (1) y = 2/3x + 1
• (2) y = 2/3x + 9
• (3) y = −2/3x + 5
• (4) y = −2/3x + 9
Answer: (3) y = −2/3x + 5

14. Which data table represents univariate data?

15. What is the equation of the axis of symmetry of the parabola shown in the diagram below?

• (1) x = −0.5
• (2) x = 2
• (3) x = 4.5
• (4) x = 13

16. The members of the senior class are planning a dance. They use the equation r = pn to determine the total receipts. What is n expressed in terms of r and p?

• (1) n = r + p
• (2) n = r − p
• (3) n = p/r
• (4) n = r/p

17. The graph of the equation y = |x| is shown in the diagram below.

Which diagram could represent a graph of the equation y = a|x| when −1 < a < 0?

18. Which relation represents a function?

• (1) {(0,3), (2,4), (0,6)}
• (2) {(−7,5), (−7,1), (−10,3), (−4,3)}
• (3) {(2,0), (6,2), (6,−2)}
• (4) {(−6,5), (−3,2), (1,2), (6,5)}
Answer: (4) {(−6,5), (−3,2), (1,2), (6,5)}

19. Which scatter plot shows the relationship between x and y if x represents a student score on a test and y represents the number of incorrect answers a student received on the same test?

20. Which expression is equivalent to 33•34?

• (1) 912
• (2) 97
• (3) 312
• (4) 37

Integrated Algebra 28 January 2010 Questions Answer Keys

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