# Integrated Algebra 24 January 2012

Integrated Algebra 24 January 2012 Questions Answer Keys

The University of the State of New York
Regents High School Examination
Integrated Algebra
Tuesday, January 24, 2012 — 9:15 a.m. to 12:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

1. Which expression is equivalent to 64 – x2?

• (1) (8 – x)(8 – x)
• (2) (8 – x)(8 + x)
• (3) (x – 8)(x – 8)
• (4) (x – 8)(x + 8)
Answer: (2) (8 – x)(8 + x)

2. Mr. Smith invested \$2,500 in a savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years?

• (1) 2500(1 + 0.03)4
• (2) 2500(1 + 0.3)4
• (3) 2500(1 + 0.04)3
• (4) 2500(1 + 0.4)3
Answer: (1) 2500(1 + 0.03)4

3. What is 2√45 expressed in simplest radical form?

• (1) 3√5
• (2) 5√5
• (3) 6√5
• (4) 18√5
Answer: (3) 6√5

4. Which graph does not represent a function? Answer: (3)

5. Timmy bought a skateboard and two helmets for a total of d dollars. If each helmet cost h dollars, the cost of the skateboard could be represented by

• (1) 2dh
• (2) Dh/2
• (3) d – 2h
• (4) d – h/2
Answer: (3) d – 2h

6. The graph of y = |x + 2| is shown below Which graph represents y = – |x + 2| Answer: (4)

7. Two equations were graphed on the set of axes below. Which point is a solution of the system of equations shown on the graph?

• (1) (8,9)
• (2) (5,0)
• (3) (0,3)
• (4) (2,–3)
Answer: (1) (8,9)

8. Byron is 3 years older than Doug. The product of their ages is 40. How old is Doug?

• (1) 10
• (2) 8
• (3) 5
• (4) 4
Answer: (3) 5

9. The actual dimensions of a rectangle are 2.6 cm by 6.9 cm. Andy measures the sides as 2.5 cm by 6.8 cm. In calculating the area, what is the relative error, to the nearest thousandth?

• (1) 0.055
• (2) 0.052
• (3) 0.022
• (4) 0.021
Answer: (2) 0.052

10. Which graph represents the inequality y > 3? Answer: (1)

11. Which set of data can be classified as quantitative?

• (1) first names of students in a chess club
• (2) ages of students in a government class
• (3) hair colors of students in a debate club
• (4) favorite sports of students in a gym class
Answer: (2) ages of students in a government class

12. Three fair coins are tossed. What is the probability that two heads and one tail appear?

• (1) 1/8
• (2) 3/8
• (3) 3/6
• (4) 2/3
Answer: (2) 3/

13. What is the sum of – 3x2 – 7x + 9 and – 5x2 + 6x – 4?

• (1) – 8x2 – x + 5
• (2) – 8x4 – x + 5
• (3) – 8x2 – 13x + 13
• (4) – 8x4 – 13x2 + 13
Answer: (1) • (1) 1 and –6
• (2) 2 and –3
• (3) 3 and –2
• (4) 6 and –1
Answer: (1) 1 and –6

15. What is the slope of the line that passes through the points (2, –3) and (5,1)?

• (1) –2/3
• (2) 2/3
• (3) –4/3
• (4) 4/3
Answer: (4) 4/3 • (1) 4x4
• (2) 4x5
• (3) 8x4
• (4) 8x5
Answer: (4) 8x5

17. In the diagram below, circle O is inscribed in square ABCD. The square has an area of 36. What is the area of the circle?

• (1) 9π
• (2) 6π
• (3) 3π
• (4) 36π
Answer: (1) 9π

18. Which point lies on the graph represented by the equation 3y + 2x = 8?

• (1) (–2,7)
• (2) (0,4)
• (3) (2,4)
• (4) (7,–2)
Answer: (4) (7,–2)

19. The equation of the axis of symmetry of the graph of y = 2x2 – 3x + 7

• (1) x = ¾
• (2) y = ¾
• (3) x = 3/2
• (4) y = 3/2
Answer: (3) x = 3/2

20. The box-and-whisker plot below represents the ages of 12 people. What percent of these people are age 15 or older?

• (1) 25
• (2) 35
• (3) 75
• (4) 85
Answer: (1) 25

Integrated Algebra 24 January 2012 Questions Answer Keys Mathematics Examination Question Scoring Key and Rating Guide

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