Integrated Algebra 18 June 2010 Questions Answer Keys

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

Integrated Algebra

Friday, June 18, 2010—1:15 to 4:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. Given:**

Set U = {S, O, P, H, I, A}

Set B = {A, I, O}

If set B is a subset of set U, what is the complement of set B?

- (1) {O, P, S}
- (2) {I, P, S}
- (3) {A, H, P}
- (4) {H, P, S}

**2. How many different sandwiches consisting of one type of cheese, one condiment, and one bread choice can be prepared from five types of cheese, two condiments, and three bread choices?**

- (1) 10
- (2) 13
- (3) 15
- (4) 30

**3. The sum of 4x ^{3} + 6x^{2} + 2x − 3 and 3x^{3} + 3x^{2} − 5x − 5 is**

- (1) 7x
^{3}+ 3x^{2}− 3x − 8 - (2) 7x
^{3}+ 3x^{2}+ 7x + 2 - (3) 7x
^{3}+ 9x^{2}− 3x – 8 - (4) 7x
^{6}+ 9x^{4}− 3x^{2}− 8

**4. What is the slope of the line that passes through the points (3,5) and (−2,2)?**

- (1)
^{1}/_{5} - (2)
^{3}/_{5} - (3)
^{5}/_{3} - (4) 5

**5. What are the vertex and axis of symmetry of the parabola shown in the diagram below?**

- (1) vertex: (1,−4); axis of symmetry: x = 1
- (2) vertex: (1,−4); axis of symmetry: x = −4
- (3) vertex: (−4,1); axis of symmetry: x = 1
- (4) vertex: (−4,1); axis of symmetry: x = −4

**6. Three high school juniors, Reese, Matthew, and Chris, are running for student council president. A survey is taken a week before the election asking 40 students which candidate they will vote for in the election. The results are shown in the table below.**

Based on the table, what is the probability that a student will vote for Reese?

- (1)
^{1}/_{3} - (2)
^{3}/_{5} - (3)
^{3}/_{8} - (4)
^{5}/_{8}

**7. Which linear equation represents a line containing the point (1,3)?**

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

**8. The expression √72 – 3√2 written in simplest radical form is**

- (1) 5√2
- (2) 3√6
- (3) 3√2
- (4) √6

**9. In ΔABC, the measure of ∠B = 90°, AC = 50, AB = 48, and BC = 14. Which ratio represents the tangent of ∠A?**

- (1)
^{14}/_{50} - (2)
^{14}/_{48} - (3)
^{48}/_{50} - (4)
^{48}/_{14}

**10. Which ordered pair is in the solution set of the system of linear inequalities graphed below?**

- (1) (1,−4)
- (2) (−5,7)
- (3) (5,3)
- (4) (−7,−2)

**11. Which table does not show bivariate data?**

**12. What is the solution of the system of equations c + 3d = 8 and c = 4d − 6?**

- (1) c = −14, d = −2
- (2) c = −2, d = 2
- (3) c = 2, d = 2
- (4) c = 14, d = −2

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

- (1) 0
- (2) 2
- (3) 3
- (4) 9

**15. The graphs of the equations y = 2x − 7 and y − kx = 7 are parallel when k equals**

- (1) −2
- (2) 2
- (3) −7
- (4) 7

**16. Which verbal expression is represented by ½ (n − 3)?**

- (1) one-half n decreased by 3
- (2) one-half n subtracted from 3
- (3) the difference of one-half n and 3
- (4) one-half the difference of n and 3

**17. The freshman class held a canned food drive for 12 weeks. The results are summarized in the table below.**

Which number represents the second quartile of the number of cans of food collected?

- (1) 29.5
- (2) 30.5
- (3) 40
- (4) 60

**19. Which value of x is the solution of ^{x}/_{3} + ^{x + 1}/_{2} = x?**

- (1) 1
- (2) −1
- (3) 3
- (4) −3

**20. When 36 is subtracted from the square of a number, the result is five times the number. What is the positive solution?**

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

**Integrated Algebra 18 June 2010 Questions Answer Keys**

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