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

**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

**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

** 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

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

- (1) – 2
- (2) 2
- (3) 3
- (4) – 4

**6. Factored completely, the expression 2x ^{2} + 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)

**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?**

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

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

**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

**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

**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)

**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

**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

**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.**

Which expression represents the area of this basketball court, in square feet?

- (1) 80
- (2) 80 + 8π
- (3) 80 + 16π
- (4) 80 + 64π

**16. John is going to line up his four golf trophies on a shelf in his bedroom. How many different possible arrangements can he make?**

- (1) 24
- (2) 16
- (3) 10
- (4) 4

**17. A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?**

- (1) 6
- (2) 8
- (3) 3
- (4) 19

**18. What is the value of the third quartile shown on the box-and-whisker plot below?**

- (1) 6
- (2) 8.5
- (3) 10
- (4) 12

**19. When 3g ^{2} – 4g + 2 is subtracted from 7g^{2} + 5g – 1, the difference is**

- (1) – 4g
^{2}– 9g + 3 - (1) – 4g
^{2}– 9g + 3 - (3) 4g
^{2}+ 9g – 3 - (4) 10g
^{2}+ g + 1

** 20. Which value of x is the solution of ^{2x}/_{5} + ^{1}/_{3} = ^{7x – 2}/_{15}?**

- (1)
^{3}/_{5} - (2)
^{31}/_{26} - (3) 3
- (4) 7

**Integrated Algebra 13 August 2008 Questions Answer Keys**

Mathematics Examination Question |

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