Integrated Algebra 16 August 2012 Questions Answer Keys

**The University of the State of New York **Regents High School Examination

Integrated Algebra

Thursday, August 16, 2012 — 8:30 to 11:30 a.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. A system of equations is graphed on the set of axes below.**

The solution of this system is

- (1) (0,4)
- (2) (2,4)
- (3) (4,2)
- (4) (8,0)

**2. A cell phone can receive 120 messages per minute. At this rate, how many messages can the phone receive in 150 seconds?**

- (1) 48
- (2) 75
- (3) 300
- (4) 18,000

**3. The value of y in the equation 0.06y + 200 = 0.03y + 350 is**

- (1) 500
- (2) 1,666.6
- (3) 5,000
- (4) 18,333.3

**4. The scatter plot shown below represents a relationship between x and y.**

This type of relationship is

- (1) a positive correlation
- (2) a negative correlation
- (3) a zero correlation
- (4) not able to be determined

**5. The sum of 3x ^{2} + 5x – 6 and – x^{2} + 3x + 9 is**

- (1) 2x
^{2}+ 8x – 15 - (2) 2x
^{2}+ 8x + 3 - (3) 2x
^{4}+ 8x^{2}+ 3 - (4) 4x
^{2}+ 2x – 15

**6. Jason’s part-time job pays him $155 a week. If he has already saved $375, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900?**

- (1) 8
- (2) 9
- (3) 3
- (4) 4

**7. The expression 9a ^{2} – 64b^{2} is equivalent to**

- (1) (9a – 8b)(a + 8b)
- (2) (9a – 8b)(a – 8b)
- (3) (3a – 8b)(3a + 8b)
- (4) (3a – 8b)(3a – 8b)

**8. The scatter plot below shows the profit, by month, for a new company for the first year of operation. Kate drew a line of best fit, as shown in the diagram.**

Using this line, what is the best estimate for profit in the 18th month?

- (1) $35,000
- (2) $37,750
- (3) $42,500
- (4) $45,000

**9. Which statement illustrates the additive identity property?**

- (1) 6 + 0 = 6
- (2) – 6 + 6 = 0
- (3) 4(6 + 3) = 4(6) + 4(3)
- (4)(4 + 6) + 3 = 4 (6 + 3)

**10. Peter walked 8,900 feet from home to school.**

1 mile 5,280 feet |

How far, to the nearest tenth of a mile, did he walk?

- (1) 0.5
- (2) 0.6
- (3) 1.6
- (4) 1.7

**11. Is the equation A = 21000(1 – 0.12) ^{t} a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?**

- (1) exponential growth and 12%
- (2) exponential growth and 88%
- (3) exponential decay and 12%
- (4) exponential decay and 88%

**12. The length of a rectangle is 15 and its width is w. The perimeter of the rectangle is, at most, 50. Which inequality can be used to find the longest possible width?**

- (1) 30 + 2w < 50
- (2) 30 + 2w ≤ 50
- (3) 30 + 2w > 50
- (4) 30 + 2w ≥ 50

**13. Craig sees an advertisement for a car in a newspaper. Which information would not be classified as quantitative?**

- (1) the cost of the car
- (2) the car’s mileage
- (3) the model of the car
- (4) the weight of the car

**14. What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola shown in the graph below?**

- (1) (0,2) and y = 2
- (2) (0,2) and x = 2
- (3) (–2,6) and y = –2
- (4) (–2,6) and x = –2

**15. A correct translation of “six less than twice the value of x” is**

- (1) 2x < 6
- (2) 2x – 6
- (3) 6 < 2x
- (4) 6 – 2x

**16. The rectangular prism shown below has a length of 3.0 cm, a width of 2.2 cm, and a height of 7.5 cm.**

What is the surface area, in square centimeters?

- (1) 45.6
- (2) 49.5
- (3) 78.0
- (4) 91.2

**17. Which set of coordinates is a solution of the equation 2x – y = 11?**

- (1) (
**–**6,**–**1) - (2) (
**–**1,9) - (3) (0,11)
- (4) (2,
**–**7)

**18. The graph of a parabola is represented by the equation y = ax ^{2} where a is a positive integer. If a is multiplied by 2, the new parabola will become**

- (1) narrower and open downward
- (2) narrower and open upward
- (3) wider and open downward
- (4) wider and open upward

**19. Which equation represents a line that has a slope of ¾ and passes through the point (2,1)?**

- (1) 3y = 4x – 5
- (1) 3y = 4x – 5
- (3) 4y = 3x – 2
- (4) 4y = 3x + 5

- (1) ¼
- (2) – ¼
- (3) 12
- (4) –12

**Integrated Algebra 16 August 2012 Questions Answers Keys**

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