CUNY Elementary Algebra Final Exam Sample A 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 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) 42√2 3√6 B) 25√6 C) 11√6 D) 12√2 2. Simplify completely. √
√
√
A) 5√3 √5 B) 25√3 C) 3√5 5 D) 5√3 5 3. Multiply. Give the answer in scientific notation. A) 12 10 B) 1.2 10 C) 1.2 10 D) 1.2 10 4. Simplify. A) B) C) D) [2] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 5. Simplify completely. 4
4
10
4
A) 3
B) 7
C) 7
D) 7
7 7 7 11 6. Multiply. 3
8
3
8
A) 2
B) 2
C) 2
D) 2
32
12
12
32
30 30 30 30 7. Simplify completely. 7 35 7
1 7
1 A) 5
B) 25
C) 5
D) 5
8. Factor completely. A) 4
B) 4
C) 4
D) 4
9
9
3
3
25 25 5 3
5 5 9. Which of the following is a factor of the polynomial? A) B) C) 2
D) 2
11 5 11 11 [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? 2
2
5
2
A) 3
B) 3
C) 7
D) 7
11. If represents a number, which equation is a correct translation of the sentence? is less than 2 times a number. 12 2 2
12 2
12 2 12
A) 15
B) 15
C) 15
D) 15
12. Solve for . A) B) C) D) 3 3 7 7 13. What is the value of the ‐coordinate of the solution to the system of equations? A) B) C) D) 2 10 6 10 [4] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 14. Solve for . A) 5
5
B) C) 5
D) 5
15. Find all solutions to the equation. A) Only
2 B) Only
2 C) 0or
2 D) 0or
2 16. Find all solutions to the equation. A) 7or
49 B) 0or
49 C) 7or
7 D) Only
7 [5] Copyright © 2012 The City University of New York http://www.cuny.edu/testing 17. What is the value of in the right triangle? 9
3
A) 6√2 B) 2√3 C) 6 D) 3√10 18. Find the graph of the solution to the inequality. A) B) C) D) 19. Evaluate 2 for the function . A) 44 B) 24 C) 20 D) 48 [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 1, 3 . Write the equation in slope‐intercept form. A) B) C) D) 2
3 6
2
7 9 1 2
[7] 2, 3 and Copyright © 2012 The City University of New York http://www.cuny.edu/testing 22. Find the equation of the vertical line passing through the point 5, 2 . A) B) C) D) 2 2 5 2 23. Find the slope and ‐intercept for the graph of the equation. A) Slope
B) Slope
C) Slope
D) Slope
3
and ‐intercept 4
0, 2 4
and ‐intercept 3
0, 8 3
and ‐intercept 4
0, 2 4
and ‐intercept 3
0, 8 24. If 6 gallons of gas cost $24, how much does 10 gallons of gas cost? A) $60 B) $30 C) $96 D) $40 25. During the course of a year, the price of a house increased from $200,000 to $250,000 . What was the percent increase in price? A) 5% B) 20% C) 25% D) 50% [8] Copyright © 2012 The City University of New York http://www.cuny.edu/testing Answer Key CUNY Elementary Algebra Final Exam Sample A 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 C D C B B A D C D A C D B B D C A A C C D C A D C [9]