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]