Integrated algebra 20 June 2014 Questions Answer Keys

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

REGENTS HIGH SCHOOL EXAMINATION

INTEGRATED ALGEBRA

Friday, June 20, 2014 — 9:15 a.m. to 12:15 p.m., only

Student Name:________________________________________________________

School Name: _________________________________________________________

**1. The product of 6x ^{3}y^{3} and 2x^{2}y is**

- (1) 3xy
^{2} - (2) 8x
^{5}y^{4} - (3) 12x
^{5}y^{4} - (4) 12x
^{6}y^{3}

**2. Which set of data is qualitative?**

- (1) laps swum in a race
- (2) number of swimmers on the team
- (3) swimmers’ favorite swimsuit colors
- (4) temperature in Fahrenheit of the water in a pool

**3. It takes a snail 500 hours to travel 15 miles. At this rate, how many hours will it take the snail to travel 6 miles?**

- (1) 0.18
- (2) 5.56
- (3) 150
- (4) 200

**4. The equation y = ax ^{2} + bx + c is graphed on the set of axes below.**

Based on the graph, what are the roots of the equation ax** ^{2}** + bx + c = 0?

- (1) 0 and 5
- (2) 1 and 0
- (3) 1 and 5
- (4) 3 and -4

**5. When solving for the value of x in the equation 4(x – 1) + 3 = 18, Aaron wrote the following lines on the board.**

[line 1] 4(x – 1) + 3 = 18

[line 2] 4(x – 1) = 15

[line 3] 4x – 1 = 15

[line 4] 4x = 16

[line 5] x = 4

Which property was used incorrectly when going from line 2 to line 3?

- (1) distributive
- (2) commutative
- (3) associative
- (4) multiplicative inverse

**6. What is the solution of 4x – 30 ≥ – 3x + 12? **

- (1) x
**≥**6 - (2) x ≤ 6
- (3) x
**≥**– 6 - (4) x ≤ – 6

**7. A local government is planning to increase the fee for use of a campsite. If a survey were taken, which group would be most biased in their opposition to the increase?**

- (1) teachers
- (2) soccer players
- (3) postal workers
- (4) campers

**8. An example of an algebraic equation is**

- (1) r
+ 1^{2} - (2) 2a + (n – 1)d
- (3) 5x = 7
- (4) – 25π + 100

**9. What is the value of x in the solution of the system of equations 3x + 2y = 12 and 5x – 2y = 4?**

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

**10. What is the slope of a line that passes through the points (-2,-7) and (-6,-2)?**

**11. Which notation is equivalent to the inequality – 3 < x ≤ 7? **

- (1) [- 3,7]
- (2) (- 3,7]
- (3) [- 3,7)
- (4) (- 3,7)

**12. What is the value of the expression 3a ^{2} – 4|a| 6 when a = – 3?**

- (1) -24
- (2) -9
- (3) 21
- (4) 45

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

- (1) {(2,1), (3,1), (4,1), (5,1)}
- (2) {(1,2), (1,3), (1,4), (1,5)}
- (3) {(2,3), (3,2), (4,2), (2,4)}
- (4) {(1,6), (2,8), (3,9), (3,12)}

**14. When 6x ^{2} – 4x + 3 is subtracted from 3x^{2} – 2x + 3, the result is**

- (1) 3x
^{2}– 2x - (2) – 3x
^{2}+ 2x - (3) 3x
^{2}– 6x + 6 - (4) – 3x
^{2}– 6x + 6

**15. The lengths of the sides of a right triangle can be**

- (1) 9, 12, 15
- (2) 8, 10, 13
- (3) 5, 5, 10
- (4) 4, 5, 6

**16. Which equation represents a line that is parallel to the y-axis?**

- (1) x = 5
- (2) x = 5
_{y} - (3) y = 5
- (4) y = 5
_{x}

**17. In right triangle ABC shown below, AC = 12, BC = 16, and AB = 20.**

Which equation is not correct?

**18. Three times the sum of a number and four is equal to five times the number, decreased by two. If x represents the number, which equation is a correct translation of the statement?**

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

**19. What is the equation of the line that passes through the point (3,- 7) and has a slope of – ^{4}⁄_{3} ?**

**20. Which parabola has an axis of symmetry of x = 1?**

**Integrated algebra 20 June 2014 Questions Answers Keys**

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