Integrated algebra 26 January 2011 Questions Answer Keys

**The University of the State of New York**

REGENTS HIGH SCHOOL EXAMINATION

INTEGRATED ALGEBRA

Wednesday, January 26, 2011— 1:15 to 4:15 p.m., only

Student Name: ________________________________________________________

School Name: _________________________________________________________

** 1. Given:**

X = {1, 2, 3, 4}

Y = {2, 3, 4, 5}

Z = {3, 4, 5, 6}

What is the intersection of sets X, Y, and Z ?

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

** 2. Which graph could be used to find the solution of the system of equations y = 2x + 6 and y = x ^{2} + 4x + 3?**

**3. What is the relationship between the independent and dependent variables in the scatter plot shown below?**

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

**4. Tim ate four more cookies than Alice. Bob ate twice as many cookies as Tim. If x represents the number of cookies Alice ate, which expression represents the number of cookies Bob ate?**

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

** 5. Which relation is a function?**

- (1) {(
^{3}⁄_{4},0), (0,1), (^{3}⁄_{4},2)} - (2) {(−2,2), (−½,1), (−2,4)}
- (3) {(−1,4), (0,5), (0,4)}
- (4) {(2,1), (4,3), (6,5)}

**6. What is the value of x in the equation 2(x − 4) = 4(2x + 1)?**

- (1) −2
- (2) 2
- (3) −½
- (4) ½

** 7. The rectangle shown below has a diagonal of 18.4 cm and a width of 7 cm.**

To the nearest centimeter, what is the length, x, of the rectangle?

- (1) 11
- (2) 17
- (3) 20
- (4) 25

** 8. When a ^{3} − 4a is factored completely, the result is**

- (1) (a − 2)(a + 2)
- (2) a(a − 2)(a + 2)
- (3) a
^{2}(a − 4) - (4) a (a − 2)
^{2}

**9. Which ratio represents sin x in the right triangle shown below?**

** 10. What is the value of the expression (a ^{3} + b^{0})^{2} when a = −2 and b = 4?**

- (1) 64
- (2) 49
- (3) −49
- (4) −64

** 11. A student correctly graphed the parabola shown below to solve a given quadratic equation.**

What are the roots of the quadratic equation associated with this graph?

- (1) −6 and 3
- (2) −6 and 0
- (3) −3 and 2
- (4) −2 and 3

** 13. What is the range of the data represented in the box-and-whisker plot shown below?**

- (1) 40
- (2) 45
- (3) 60
- (4) 100

** 14. Which equation illustrates the associative property?**

- (1) x + y + z = x + y + z
- (2) x(y + z) = xy + xz
- (3) x + y + z = z + y + x
- (4) (x + y) + z = x + (y + z)

** 15. Josh and Mae work at a concession stand. They each earn $8 per hour. Josh worked three hours more than Mae. If Josh and Mae earned a total of $120, how many hours did Josh work?**

- (1) 6
- (2) 9
- (3) 12
- (4) 15

** 16. Which data set describes a situation that could be classified as quantitative?**

- (1) the phone numbers in a telephone book
- (2) the addresses for students at Hopkins High School
- (3) the zip codes of residents in the city of Buffalo, New York
- (4) the time it takes each of Mr. Harper’s students to complete a test

** 17. Which is the graph of y = x + 2?**

**18. Sam’s grades on eleven chemistry tests were 90, 85, 76, 63, 94, 89, 81, 76, 78, 69, and 97. Which statement is true about the measures of central tendency?**

- (1) mean > mode
- (2) mean < median
- (3) mode > median
- (4) median = mean

** 19. Which interval notation represents the set of all real numbers greater than 2 and less than or equal to 20?**

- (1) (2, 20)
- (2) (2, 20]
- (3) [2, 20)
- (4) [2, 20]

**Integrated algebra 26 January 2011 Questions Answers Keys**

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