Integrated Algebra 13 August 2008

Integrated Algebra 13 August 2008 Questions Answer Keys

The University of the State of New York
Regents High School Examination
Integrated Algebra
Wednesday, August 13, 2008 – 8:30 to 11:30 a.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

1. Which value of p is the solution of 5p – 1 = 2p + 20?

(1) ¹⁹/₇
(2) ¹⁹/₃
(3) 3
(4) 7

Answer: (4) 7

2. The statement 2 + 0 = 2 is an example of the use of which property of real numbers?

(1) associative
(2) additive identity
(3) additive inverse
(4) distributive

Answer: (2) additive identity

3. Mrs. Smith wrote “Eight less than three times a number is greater than fifteen” on the board. If x represents the number, which inequality is a correct translation of this statement?

(1) 3x – 8 > 15
(2) 3x – 8 < 15
(3) 8 – 3x > 15
(4) 8 – 3x < 15

Answer: (1) 3x – 8 > 15

4. Which statement is true about the data set 3, 4, 5, 6, 7, 7, 10?

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

Answer: (3) mean = median

5. Which value of x is in the solution set of the inequality – 4x + 2 > 10?

(1) – 2
(2) 2
(3) 3
(4) – 4

Answer: (4) – 4

6. Factored completely, the expression 2x² + 10x – 12 is equivalent to

(1) 2(x – 6)(x + 1)
(2) 2(x + 6)(x – 1)
(3) 2(x + 2)(x + 3)
(4) 2(x – 2)(x – 3)

Answer: (2) 2(x + 6)(x – 1)

7. The gas tank in a car holds a total of 16 gallons of gas. The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank?

Answer: (2)

8. If 3ax + b = c, then x equals

(1) c – b + 3a
(2) c + b – 3a
(3) ^{c – b}/_3a
(4) ^{b – c}/_3a

Answer: (3) ^{c – b}/_3a

9. The length of the hypotenuse of a right triangle is 34 inches and the length of one of its legs is 16 inches. What is the length, in inches, of the other leg of this right triangle?

(1) 16
(2) 18
(3) 25
(4) 30

Answer: (4) 30

10. Which equation represents a line parallel to the x-axis?

(1) x = 5
(2) y = 10
(3) x = ¹/_3y
(4) y = 5x + 17

Answer: (2) y = 10

11. Sam and Odel have been selling frozen pizzas for a class fundraiser. Sam has sold half as many pizzas as Odel. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell?

(1) 21
(2) 42
(3) 63
(4) 84

Answer: (2) 42

12. Which ordered pair is in the solution set of the system of equations y = –x + 1 and y = x2 + 5x + 6?

(1) (–5,–1)
(2) (–5,6)
(3) (5,–4)
(4) (5,2)

Answer: (2) (–5,6)

13. A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.

Which equation represents the axis of symmetry?

(1) x = 3
(2) y = 3
(3) x = 23
(4) y = 23

Answer: (1) x = 3

14. Nicole’s aerobics class exercises to fast-paced music. If the rate of the music is 120 beats per minute, how many beats would there be in a class that is 0.75 hour long?

(1) 90
(2) 160
(3) 5,400
(4) 7,200

Answer: (3) 5,400

15. Luis is going to paint a basketball court on his driveway, as shown in the diagram below. This basketball court consists of a rectangle and a semicircle.