Integrated algebra 18 June 2015 Questions Answer Keys

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

REGENTS HIGH SCHOOL EXAMINATION

INTEGRATED ALGEBRA

Thursday, June 18, 2015 — 9:15 a.m. to 12:15 p.m., only

Student Name:________________________________________________________

School Name: _________________________________________________________

**1. If A {1,2,3,4,5,6,7,8} and B {2,4,6,8,10,12}, then the intersection of these two sets is**

- (1) {10,12}
- (2) {1,3,5,7}
- (3) {2,4,6,8}
- (4) {1,2,3,4,5,6,7,8,10,12}

**2. There are 4 students running for Student Government President. A survey was taken asking 100 students which candidate they would vote for in the election. The results are shown in the table below:**

Based on the table, what is the probability that a student chosen at random will vote for Lyshon?

- (1)
^{3}/_{10} - (2)
^{7}/25 - (3) 7/5
_{0} - (4)
^{43}/5_{0}

**3. The graph of y = x ^{2} is shown below.**

Which graph represents y 2x^{2}?

**4. The local deli charges a fee for delivery. On Monday, they delivered two dozen bagels to an office at a total cost of $8. On Tuesday, three dozen bagels were delivered at a total cost of $11. Which system of equations could be used to find the cost of a dozen bagels, b, if the delivery fee is f ?**

- (1) b + 2f = 8 , b + 3f = 11
- (2) 2b + f = 8 , b + 3f = 11
- (3) b + 2f = 8 , 3b + f = 11
- (4) 2b + f = 8 , 3b + f = 11

**5. Which inequality is shown in the graph below?**

**6. Which expression is equivalent to 81 – 16x ^{2}?**

- (1) (9 – 8x)(9 + 8x)
- (2) (9 – 8x)(9 + 2x)
- (3) (9 – 4x)(9 + 4x)
- (4) (9 – 4x)(9 – 4x)

**8. The product of a number and 3, increased by 5, is 7 less than twice the number. Which equation can be used to find this number, n?**

- (1) 3n + 5 = 2n – 7
- (2) 3n + 5 = 7 – 2n
- (3) 3(n + 5) = 2n – 7
- (4) 3(n + 5) = 7 – 2n

**9. Which linear equation represents a line that has a slope of ²⁄ _{3}?**

- (1) – 2y = – 3x + 6
- (2) – 3y = 2x + 6
- (3) 3y = – 2x + 6
- (4) 3y = 2x + 6

**10. Which situation is an example of bivariate data?**

- (1) shoe sizes of a tennis team
- (2) goals scored in soccer games
- (3) Calories consumed in one day
- (4) hours studying compared to test scores

**11. What is the solution of the following system of equations?**

2a + 3b =12

a + ½b – 6

- (1) a = -6 and b = 0
- (2) a = – 4.5 and b = 3
- (3) a = – 3 and b = 6
- (4) a = 24 and b = 6

**12. Which statement is true about the data shown in the scatter plot below?**

- (1) There is no correlation between the two sets of data.
- (2) There is a positive correlation between the two sets of data.
- (3) There is a negative correlation between the two sets of data.
- (4) The correlation between the data is both positive and negative.

**13. The graph of the equation y = – 2 is a line**

- (1) parallel to the x-axis
- (2) parallel to the y-axis
- (3) passing through the origin
- (4) passing through the point (2,0)

**14. The base of a closed right circular cylinder has a diameter of 5 cm. If the height of the cylinder is 8 cm, what is the surface area of the cylinder, to the nearest square centimeter?**

- (1) 157
- (2) 165
- (3) 408
- (4) 628

**15. Which equation represents the line that passes through the points (- 1,- 2) and (3,10)?**

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

**16. As shown in the diagram below, a building casts a 72-foot shadow on the ground when the angle of elevation of the Sun is 40º.**

How tall is the building, to the nearest foot?

- (1) 46
- (2) 60
- (3) 86
- (4) 94

**17. Which value of x is a solution of the inequality 25x – 100 < 250?**

- (1) 13
- (2) 14
- (3) 15
- (4) 16

**18. The square of a positive number is 24 more than 5 times the number. What is the value of the number?**

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

**19. Owino gets paid $280 per week plus 5% commission on all sales for selling electronic equipment. If he sells n dollars worth of electronic equipment in one week, which algebraic expression represents the amount of money he will earn that week?**

- (1) 280n + 5
- (2) 280n + 0.05
- (3) 280 + 0.05n
- (4) 280 + 5n

- (1) – 9
- (2) 2
- (3) – 3
- (4) 0

**Integrated algebra 18 June 2015 Questions Answers Keys**

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