[PDF] Elementary Algebra Review for Accuplacer Placement Exam - GCC.pdf | Plain Text

Glendale Community College, AZ Elementary Algebra Review for Accuplacer Placement Exam This exam is intended as an overall review and includes problems similar to what you may expect on the Accuplacer exam. However, it is NOT a sample exam. Accuplacer Exam Info  Consult the following web site for the most up-to-date information on placement testing at GCC. http://www.gccaz.edu/testingservices/ Google “GCC Testing Services.”  The most recent version of this exam should be available at http://www.gccaz.edu/math/Placement.htm .  Please send any comments to walter.kehowski@gccaz.edu Please include the following information in your email: LAST COMPILED DATE: April 30, 2013.This review was created by the GCC Mathematics Placement Exam Review Committee (GCCMPERC): Walter A. Kehowski (Chair), Jason Bright, Anne Dudley, Miriam Pack.

Glendale Community College, AZ Elementary Algebra Review for Accuplacer Placement Exam 1. Find the value of j 11j. (a) 0 (b)11 (c)11 (d)11 2. Write 126 as the product of prime factors. (a) 2
3
7 (b)14
3
3 (c)2
2
3
3
7 (d)2
3
3
7 3. Factor x2 ‚ 2x 63 completely. If the polynomial is prime, state so. (a) „x9…„x ‚7… (b)„x9…„x ‚1… (c)„x‚9…„x 7… (d)Prime 4. Solve. p 3 3 p 8 ƒ 4 (a) 4 (b)96 (c)96 (d)4 5. Find the value of 8 x2 ‚ 3x forxƒ 4. (a) 76 (b)44 (c)116 (d)140 6. Solve 10 y4ƒ 8‚ 6y . (a) 1 (b)4 3 (c) 4 3 (d) 3 4 7. Graph. f „x…ƒ1 3 x ‚ 2 (a) (b) (c) (d) 8. Factor out the greatest common factor. 18 m8 4m 6 ‚ 6m 4 (a) No common factor. (b)2„9 m 8 2m 6 ‚ 3m 4 … (c) 2m 4 „9 m 4 2m 2 ‚ 3… (d)m4 „18 m4 4m 2 ‚ 6… 9. Express 175 ;100 in scientic notation. (a) 1:751 10 1 (b)1:751 10 5 (c)1:751 10 5 (d)1:751 10 6 2

10. Simplify using positive exponents. y 14 y 2 (a) y16 (b)1 y 16 (c)1 y 12 (d) y12 11. Simplify using positive exponents. „3 t5 … 2 (a) 1 9 t10 (b)9 t 10 (c)t 10 9 (d) 9t10 12. Simplify. k 2 ‚ 9k ‚ 20 k 2 ‚ 14 k‚ 45
k 2 ‚ 9k k 2 5k 36 (a) 1 k 9 (b)k 2 ‚ 9k k 9 (c) k k 2 ‚ 14 k‚ 45 (d) k k 9 13. Simplify. „4 p 3 s 3 …3 „s 4 … (a) 4p 9 s 13 (b)64p6 s 36 (c)64p6 s 10 (d)64p9 s 13 14. Evaluate the polynomial 2 x3 3x 2 8 at xƒ 2. (a) 36 (b)27 (c)46 (d)48 15. Multiply. „2 a 3…2 (a) 4a 2 ‚ 9 (b)4a 2 12 a‚ 9 (c)2a 2 ‚ 9 (d)2a 2 12 a‚ 9 16. Find the perimeter of the gure. (a) 10x 7 (b) 5x ‚ 7 (c) 10x‚ 7 (d) 10x‚ 14 17. A triangular lake-front lot has a perimeter of 150 feet. One side is 10 feet longer than the shortest side, while the third is 20 feet longer than the shortest side. Find the lengths of all three sides. (a) 50 ft ;50 ft ;50 ft (b)30 ft;40 ft ;80 ft (c) 40 ft ;50 ft ;60 ft (d)40 ft;70 ft ;40 ft 18. The sum of three numbers is 3. The rst, minus the second, plus three times the third, is 7. The third, plus 3 times the rst, plus the second, is 11. What are the numbers? (a) No solution. (b)4;4 ;2 (c)4; 2;3 (d)4;2 ; 3 19. Simplify. 3 p 64 a8 b 5 Assume all variables non-negative. (a) 4a 2 b 3 p a 2 b 2 (b)4ab 3 p a 2 b 2 (c)43 p a 2 b 2 (d)4ab 3 p a 3 b 3 3

20. Simplify. 6p 3 ‚ 5p 27 (a) 27 p 3 (b)27p 3 (c)9p 3 (d)13 p 3 21. Find all the square roots of 576. (a) 288; 288 (b)24 (c)24; 24 (d)24 22. The dierence of twice a number and 4 equals the number plus 4. What is the number? (a) 4 (b)8 (c)3 (d)5 23. Simplify. 4 ‚ 1 2 1 3 ‚ 1 6 (a) 9 (b)5 9 (c) 12 (d)1 12 24. Find the value of the expression. 6
„3 ‚ 3… ‚ 6
4 6
„4 1… (a) 416 23 (b) 2 (c)214 23 (d) 31 3 25. p 10 is between what two numbers? (a) 2 and 3 (b)3 and 4 (c)5 and 6 (d)9 and 11 4

Elementary Algebra Review for Accuplacer Placement Exam ANSWER KEY 1. c 2. d 3. c 4. b 5. d 6. d 7. a8. c 9. b 10. b 11. a 12. d 13. d 14. a 15. b 16. c 17. c 18. d 19. a20. c 21. c 22. b 23. a 24. d 25. b 5