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Math 103 College AlgebraInstructor: O. Pauline Chow, Sr. Professor of Mathematics, Harrisburg Area Community College

1st Assessment on (1.1-1.16)

There are 10 questions in this assessment. Each problem is worth 2 points and the total number of pointsis 20.

1. The number of births (in thousands) in the United States in 2007 was 4316. The number of births(in thousands) in the United States in 2009 was 4131. Let x represent the number of years after2007, and let y represent the number of births (in thousands). (source:http://www.cdc.gov/nchs/data/databriefs/db60.pdf)a. Write an equation that models the number of births (in thousands) in terms of x years after

2007. b. Estimate the number of births in the United States for 2015?

2. The number of job openings in leisure and hospitality was 301 thousand in May 2010. By May2011, this number had increased to 429 thousand. Let y be the number of job openings in leisure

and hospitality in thousands and x is the number of years after May 2010. (Source:http://www.bls.gov/news.release/jolts.t01.htm)a. Write a linear equation that models the number of job openings in leisure and hospitality in

thousands x number of years after May 2010. b. Use the linear equation to estimate the number of job openings in leisure and hospitality in

year 2014.

3. Solve the equation: (12 x 7)2 + (5 x + 9)2 = (13 x + 4) 2

4. Solve for y: 0.02 x 0.06 y = 9

5. Write an equation of the line in standard form using only integers for the line parallel to5 x + 7 y = 21 and containing ( 7, 1).

6. Write an equation of the line in standard form using only integers for the line perpendicular to x 3 y = 5 and containing (2, 7).

7. In 2011, the percent of South Carolinas drivers wearing seat belts was 84%. The percent ofdrivers wearing seat belts in 2012 was 90.5%. Let y be the percent of drivers wearing seat belts inthe year x, where x = 0 represents 2011. (Source:http://www2.counton2.com/news/2012/jul/03/record-number-south-carolinians-wearing-seatbelts-

ar-4076887/)a. Write a linear equation that models the percent of South Carolinas drivers wearing seat

belts in terms of the year x . b. Use the equation to predict the percent of South Carolinas driv ers wearing seat belts in the

year 2015. (Round to the nearest tenth of a percent.)

8. Solve for y: (2.5610 7 ) y (6.9810 5 ) = (4.3710 4 )

(Leave your final answer in scientific notation)

http://www2.counton2.com/news/2012/jul/03/record-number-south-carolinians-wearing-seatbelts-http://www2.counton2.com/news/2012/jul/03/record-number-south-carolinians-wearing-seatbelts-

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9. Given the equation of the circle: x2 + y2 6 x + 10 y 2 = 0. Find the coordinators of the center andthe radius. Graph the circle.

10. Shawn has invested a total of $15,600 at the PNC bank. Part of the money is invested at 2.6% andthe rest at 1.8%. If he earns $348 in interest after one year, find the amount invested at each rate.