CUNY Elementary Algebra Final Exam Sample B August 2012 For the most up‐to‐date information on this exam, please visit http://www.cuny.edu/testing Generated: 6/11/2012 1:04:50 PGenerated: 6/11/2012 1:04:50 PM Copyright © 2012 The City University of New York Copyright © 2012 The City University of New York http://www.cuny.edu/testing 1. Simplify. √ √ A) 8√10 B) 2√85 C) 34√10 D) 10√3 10√5 2. Simplify completely. √ √ √ A) 7√14 B) 2√7 C) 49√2 D) 7√2 3. Divide. Give the answer in scientific notation. A) 0.75 10 B) 7.5 10 C) 7.5 10 D) 7.5 10 4. Simplify. A) B) C) D) [2] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 5. Simplify completely. 3 3 11 3 A) 4 B) 8 C) 8 D) 8 2 2 2 8 6. Multiply. 23 18 23 18 A) 3 B) 3 C) 3 D) 3 42 12 12 42 20 20 20 20 7. Simplify completely. A) 15 B) 15 C) 30 D) 15 4 4 8 1 4 1 8. Factor completely. A) 2 B) 2 C) 2 D) 2 9 9 3 3 100 100 10 3 10 10 9. Which of the following is a factor of the polynomial? A) B) C) 2 D) 2 7 7 3 7 [3] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 10. Which of the following is a factor of the polynomial? 7 4 7 7 A) 9 B) 9 C) 5 D) 5 11. If represents a number, which equation is a correct translation of the sentence? subtracted from times a number is . A) 30 7 4 B) 7 30 4 C) 7 30 4 D) 7 30 4 12. Solve for . A) B) C) D) 10 6 12 12 13. What is the value of the ‐coordinate of the solution to the system of equations? A) B) C) D) 2 10 10 7 [4] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 14. Solve for . 7 5 A) 7 5 B) C) 5 D) 5 7 7 15. Find all solutions to the equation. A) B) C) D) 3or 3or 3or 3or 5 5 5 5 16. Find all solutions to the equation. A) Only 5 B) 0or 25 C) 5or 5 D) 5or 25 17. What is the value of in the right triangle? 4 6 A) 13√2 B) 2√13 C) 4√13 D) 2√5 [5] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 18. Find the graph of the solution to the inequality. A) B) C) D) 19. Evaluate 2 for the function . A) 86 B) 2 C) 6 D) 82 [6] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 20. Which of the following is the graph of the equation? A) B) C) D) 21. Find the equation of the line passing through the points 2, 8 . Write the equation in slope‐intercept form. A) B) C) D) 5 5 2 7 5 12 15 8 [7] 1, 7 and Copyright © 2012 The City University of New York http://www.cuny.edu/testing 22. Find the equation of the horizontal line passing through the point 5, 3 . A) B) C) D) 5 3 3 23. Find the slope and ‐intercept for the graph of the equation. 6 and ‐intercept 7 A) Slope B) Slope C) Slope 6 and ‐intercept 7 7 and ‐intercept 6 D) Slope 7 and ‐intercept 6 0, 5 0, 5 0, 35 0, 35 24. If 6 beads weigh 48 grams, how many beads weigh 72 grams? A) 4 beads B) 9 beads C) 12 beads D) 30 beads 25. In 2010, there were 50 fish in a pond. One year later, the number of fish decreased by 20%. How many fish were in the pond in 2011? A) 48 fish B) 30 fish C) 49 fish D) 40 fish [8] Copyright © 2012 The City University of New York http://www.cuny.edu/testing Answer Key CUNY Elementary Algebra Final Exam Sample B Test Item Number 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. Correct Answer A D B A B A D C A C C B B A A C B C C D A C A B D [9]