Integrated Algebra 29 January 2009 Questions Answer Keys

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

Integrated Algebra

Thursday, January 29, 2009 – 1:15 to 4:15 p.m., only

Student Name: ______________________________________________________

School Name: _______________________________________________________

**1. On a certain day in Toronto, Canada, the temperature was 15° Celsius (C). Using the formula F = ^{9}/_{5}C + 32, Peter converts this temperature to degrees Fahrenheit (F). Which temperature represents 15°C in degrees Fahrenheit?**

- (1) –9
- (2) 35
- (3) 59
- (4) 85

**2. What is the speed, in meters per second, of a paper airplane that flies 24 meters in 6 seconds?**

- (1) 144
- (2) 30
- (3) 18
- (4) 4

**3. The faces of a cube are numbered from 1 to 6. If the cube is rolled once, which outcome is least likely to occur?**

- (1) rolling an odd number
- (2) rolling an even number
- (3) rolling a number less than 6
- (4) rolling a number greater than 4

**4. Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses without taxes. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?**

- (1) 150
- (2) 271
- (3) 421
- (4) 692

**5. Antwaan leaves a cup of hot chocolate on the counter in his kitchen. Which graph is the best representation of the change in temperature of his hot chocolate over time?**

**6. What is the solution of ^{k + 4}/_{2} = ^{k + 9}/_{3}?**

- (1) 1
- (2) 5
- (3) 6
- (4) 14

**7. Alex earned scores of 60, 74, 82, 87, 87, and 94 on his first six algebra tests. What is the relationship between the measures of central tendency of these scores?**

- (1) median < mode < mean
- (2) mean < mode < median
- (3) mode < median < mean
- (4) mean < median < mode

**8. The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Which equation represents the number of teams, t, that remained in the tournament after r rounds?**

- (1) t = 64(r)
^{0.5} - (2) t = 64(– 0.5)
^{r} - (3) t = 64(1.5)
^{r} - (4) t = 64(0.5)
^{r}

**9. The expression 9x ^{2} – 100 is equivalent to**

- (1) (9x – 10)(x + 10)
- (2) (3x – 10)(3x + 10)
- (3) (3x – 100)(3x – 1)
- (4) (9x – 100)(x + 1)

**10. What is an equation of the line that passes through the points (3,–3) and (–3,–3)?**

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

**11. If the formula for the perimeter of a rectangle is P = 2l + 2w, then w can be expressed as**

- (1) w =
^{2l – p}/_{2} - (2) w =
^{p – 2l}/_{2} - (3) w =
^{p – l}/_{2} - (4) w =
^{p – 2w}/_{2l}

**12. In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?**

- (1) 12
- (2) 14
- (3) 21
- (4) 28

**13. What is the slope of the line that passes through the points (2,5) and (7,3)?**

- (1) –
^{5}/_{2} - (2) –
^{2}/_{5} - (3)
^{8}/_{9} - (4)
^{9}/_{8}

**14. What are the roots of the equation x ^{2} – 10x + 21 = 0?**

- (1) 1 and 21
- (2) –5 and –5
- (3) 3 and 7
- (4) –3 and –7

**15. Rhonda has $1.35 in nickels and dimes in her pocket. If she has six more dimes than nickels, which equation can be used to determine x, the number of nickels she has?**

- (1) 0.05(x + 6) + 0.10x = 1.35
- (2) 0.05x + 0.10(x + 6) = 1.35
- (3) 0.05 + 0.10(6x) = 1.35
- (4) 0.15(x + 6) = 1.35

**16. Which equation represents the axis of symmetry of the graph of the parabola below?**

- (1) y = –3
- (2) x = –3
- (3) y = –25
- (4) x = –25

**17. The set The set ” , 1,2,3,4 is equivalent to**

- (1) # x x ; 1 4 1 1 ,where x is a whole number-
- (2) # x x ; 0 4 1 1 ,where x is a whole number-
- (3) # x x ; 0 4 1 # ,where x is a whole number-
- (4) # x x ; 1 4 1 # ,where x is a whole number

**18. What is the value of x in the equation **^{2}/_{x}**–3 = ^{26}/_{x}**

**?**

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

**19. The diagram below shows right triangle UPC.**

Which ratio represents the sine of ∠U?

- (1)
^{15}/_{18} - (2)
^{15}/_{17} - (3)
^{8}/_{15} - (4)
^{8}/_{17}

**20. What is √72 expressed in simplest radical form?**

- (1) 2√18
- (2) 3√8
- (3) 6√2
- (4) 8√3

**Integrated Algebra 29 January 2009 Questions Answer Keys**

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