Integrated Algebra 14 June 2012 Questions Answer Keys

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

Integrated Algebra

Thursday, June 14, 2012 — 1:15 to 4:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. In a baseball game, the ball traveled 350.7 feet in 4.2 seconds.What was the average speed of the ball, in feet per second?**

- (1) 83.5
- (2) 177.5
- (3) 354.9
- (4) 1,472.9

**2. A survey is being conducted to determine if a cable company should add another sports channel to their schedule. Which random survey would be the least biased?**

- (1) surveying 30 men at a gym
- (2) surveying 45 people at a mall
- (3) surveying 50 fans at a football game
- (4) surveying 20 members of a high school soccer team

- (1) 16x
^{7}– 4x^{6}+ 8x^{5}– 12x^{4} - (2) 4x
^{7}– x^{6}+ 2x^{5}– 3x^{4} - (3) 4x
^{3}– x^{2}+ 2x – 3x - (4) 4x
^{3}– x^{2}+ 2x – 3

**4. Marcy determined that her father’s age is four less than three times her age. If x represents Marcy’s age, which expression represents her father’s age?**

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

**5. A set of data is graphed on the scatter plot below**

This scatter plot shows

- (1) no correlation
- (2) positive correlation
- (3) negative correlation
- (4) undefined correlation

**6. Which situation is an example of bivariate data?**

- (1) the number of pizzas Tanya eats during her years in high school
- (2) the number of times Ezra puts air in his bicycle tires during the summer
- (3) the number of home runs Elias hits per game and the number of hours he practices baseball
- (4) the number of hours Nellie studies for her mathematics tests during the first half of the school year

**7. Brianna’s score on a national math assessment exceeded the scores of 95,000 of the 125,000 students who took the assessment. What was her percentile rank?**

- (1) 6
- (2) 24
- (3) 31
- (4) 76

**8. If A = {0, 1, 3, 4, 6, 7}, B = {0, 2, 3, 5, 6}, and C = {0, 1, 4, 6, 7}, then A ∩ B ∩ C is**

- (1) {0, 1, 2, 3, 4, 5, 6, 7}
- (2) {0, 3, 6}
- (3) {0, 6}
- (4) {0}

**9. Which graph represents a function?**

**10. What is the product of (3x – 2) and (x – 7)?**

- (1) 3x
^{2}– 14 - (2) 3x
^{2}– 5x – 14 - (3) 3x
^{2}– 19x – 14 - (4) 3x
^{2}– 23x – 14

**11. If five times a number is less than 55, what is the greatest possible integer value of the number?**

- (1) 12
- (2) 11
- (3) 10
- (4) 9

**12. The line represented by the equation 2y – 3x = 4 has a slope of**

- (1) –
^{3}/_{2} - (2) 2
- (3) 3
- (4)
^{3}/_{2}

**13. What is the solution set of the system of equations x + y = 5 and y = x ^{2 }– 25?**

- (1) {(0,5), (11,–6)}
- (2) {(5,0), (–6,11)}
- (3) {(–5,0), (6,11)}
- (4) {(–5,10), (6,–1)}

**14. What is the vertex of the parabola represented by the equation y = –2x ^{2} + 24x – 100?**

- (1) x = –6
- (2) x = 6
- (3) (6,–28)
- (4) (–6,–316)

**15. If k = am + 3mx, the value of m in terms of a, k, and x can be expressed as**

- (1)
^{k}/_{a + 3x} - (2)
^{k – 3mx}/_{a} - (3)
^{k – am}/_{3x} - (4)
^{k – a}/_{3x}

- (1)
^{2}/_{5} - (2)
^{x + 2}/_{x + 5 } - (3)
^{x – 2}/_{x – 5} - (4)
^{–3x – 10}/_{– 25}

**17. Which interval notation describes the set S = {x |1 ≤ x < 10}?**

- 1) [1,10]
- (2) (1,10]
- (3) [1,10)
- (4) (1,10)

**18. The bull’s-eye of a dartboard has a radius of 2 inches and the entire board has a radius of 9 inches, as shown in the diagram below.**

If a dart is thrown and hits the board, what is the probability that the dart will land in the bull’s-eye?

- (1)
^{2}/_{9} - (2)
^{7}/_{9} - (3)
^{4}/_{81} - (4)
^{49}/_{81}

**19. What is one-third of 3 ^{6}?**

- (1) 1
^{2} - (2) 3
^{2} - (3) 3
^{5} - (4) 9
^{6}

**Integrated Algebra 14 June 2012 Questions Answers Keys**

Mathematics Examination Question |

Scoring Key and Rating Guide |

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