Integrated Algebra 27 January 2015 Questions Answer Keys

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

Integrated Algebra

Tuesday, January 27, 2015 — 1:15 to 4:15 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}, the intersection of sets A and B is**

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

**2. What is the value of n in the equation 0.2(n 6) 2.8?**

- (1) 8
- (2) 2
- (3) 20
- (4) 44

- (1) 4x
^{2}y^{3} - (2) 4x
^{3}y^{3} - (3) 4x
^{9}y^{4} - (4) 4x
^{3}y^{2}

**4. Which situation is represented by bivariate data?**

- (1) A student lists her algebra quiz grades for one month.
- (2) A wrestler records his weight before each match.
- (3) A musician writes down how many minutes she practices her instrument each day.
- (4) An ice cream vendor tracks the daily high temperature and how many ice cream bars he sells each day

**5. A cylinder has a circular base with a radius of 3 units and a height of 7 units. What is the volume of the cylinder in cubic units?**

- (1) 2π
- (2) 42π
- (3) 63π
- (4) 147π

**6. The graph of f(x) is shown below.**

Based on this graph, what are the roots of the equation f(x) 0?

- (1) 1 and 5
- (2) 1 and 5
- (3) 2 and 9
- (4) 1 and 5 and 5

**7. Jose wants to ride his bike a total of 50 miles this weekend. If he rides m miles on Saturday, which expression represents the number of miles he must ride on Sunday?**

- (1) m – 50
- (2) m + 50
- (3) 50 – m
- (4) 50m

**8. Four students are playing a math game at home. One of the math game questions asked them to write an algebraic equation**

Brandon wrote: 3(5x – 0)

William wrote: 7 – 2(6 + x)

Alice wrote: 15x

Kayla wrote: 11 = 2x + 3

Which student wrote an algebraic equation?

- (1) Brandon
- (2) William
- (3) Alice
- (4) Kayla

**9. A student spent 15 minutes painting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the student to paint 1 square foot?**

- (1) 0.4
- (2) 1.5
- (3) 2.5
- (4) 3.5

**10. What is an equation of the line that passes through the points (2,1) and (6,5)?**

- (1) y = –
^{3}/_{2}x – 2 - (2) y = –
^{3}/_{2}x + 4 - (3) y = –
^{2}/_{3}x – 1 - (4) y = –
^{2}/_{3}x +^{7}/_{3}

**11. What is ^{10}/_{7x} – ^{3}/_{5x }expressed in simplest form?**

- (1)
^{7}/_{2x} - (2)
^{29}/_{2x} - (3)
^{29}/_{35x} - (4)
^{55}/_{35x}

**12. In the box-and-whisker plot below, what is the 2nd quartile?**

- (1) 25
- (2) 30
- (3) 45
- (4) 50

**13. The length of a rectangle is three feet less than twice its width. If x represents the width of the rectangle, in feet, which inequality represents the area of the rectangle that is at most 30 square feet?**

- (1) x(2x 3) ≤ 30
- (2) x(2x 3) ≥ 30
- (3) x(3 2x) ≤ 30
- (4) x(3 2x) ≥ 30

**14. Which set is a function?**

- (1) {(3,4), (3,5), (3,6), (3,7)}
- (2) {(1,2), (3,4), (4,3), (2,1)}
- (3) {(6,7), (7,8), (8,9), (6,5)}
- (4) {(0,2), (3,4), (0,8), (5,6)}

**15. The weights of 40 students were recorded. If the 75th percentile of their weights was 140 pounds, what is the total number of students who weighed more than 140 pounds?**

- (1) 10
- (2) 20
- (3) 30
- (4) 4

**16. What is the slope of the line represented by the equation 4x + 3y = 7?**

- (1)
^{7}/_{4} - (2)
^{7}/_{3} - (3)
**–**^{3}/_{4} - (4)
**–**^{4}/_{3}

**17. What is √150 + √24 expressed in simplest radical form?**

- (1) √6
- (2) √12
- (3) √87
- (4) √174

**18. In ΔABC below, the measure of ∠A 90°, AB = 6, AC = 8, and BC 10.**

Which ratio represents the sine of ∠B?

- (1)
^{10}/_{8} - (2)
^{8}/_{6} - (3)
^{6}/_{10} - (4)
^{8}/_{10}

**19. The equations 6x + 5y = 300 and 3x + 7y = 285 represent the money collected from selling gift baskets in a school fundraising event. If x represents the cost for each snack gift basket and y represents the cost for each chocolate gift basket, what is the cost for each chocolate gift basket?**

- (1) $20
- (2) $25
- (3) $30
- (4) $54

**20 Which equation represents the axis of symmetry of the graph of the equation y = x ^{2} + 4x – 5?**

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

**Integrated Algebra 27 January 2015 Questions Answers Keys**

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