MAT135 First Day Diagnostic Spring 2010 1 NAME:___________________________________________________ 1. Simplify: 212 ( 3) (7 4). a) 9 b) 7 c) 1 d) 15 2. 85 a) 13 b) 3 c) 3 d) 15 3. Evaluate2 if 3, 2, 1ab c a b c. a) 19 b) 18 c) 11 d) 4 4. Solve 2(3 5) 5 11xx. a) 16x b) 21x c) 2x d) 1x 5. Solve71210x. a) 307x b) 107x c) 710x d) 37x 6. Solve for y: 3 4 12xy. a) 12 3yx b) 3 124xy c) 33yx d) 12 34xyMAT135 First Day Diagnostic Spring 2010 2 7. The sum of a number and 6 is 8 more than twice the number. Find the equation that could be used to find this number x. a) 6 2 8xx b) 268xx c) 6 2( 8)xx d) 6 2 8xx 8. If a television costs $180 after a 20% discount, what was the original cost of the television? a) $150 b) $200 c) $216 d) $225 9. Simplify 2 3 2()ab. a) 49ab b) 29ab c) 46ab d) 45ab 10. Simplify 235xyx. a) 55xy b) 5xy c) 5xy d) 5yx 11. Simplify26xx. a) 12x b) 81x c) 41x d) 121x 12. Convert to Scientific Notation: 650,000. a) 56.5 10x b) 46.5 10x c) 56.5 10x d) 60.65 10x 13. Simplify 22(3 2 6) ( 2)x x x x. a) 422 3 8xx b) 224xx c) 22 3 4xx d) 22 3 8xxMAT135 First Day Diagnostic Spring 2010 3 14. Simplify2(2 3 )x. a) 249x b) 249x c) 24 12 9xx d) 24 6 9xx 15. Factor completely: 2212 3a b ab. a) 3 (4 )ab ab b) 3 (4 1)ab ab c) 223 (4 )ab a b ab d) (12 3)ab ab 16. Find the x-intercept for 2 3 6xy. a) (0,3) b) (0, 2) c) (3,0) d) ( 2,0) 17. Find the y-intercept for 37xy a) 7(0, )3 b) (0,7) c) 7( ,0)3 d) (7,0) 18. Which of the following is a factor of 216 64xx. a) 4x b) 2x c) 8x d) 8x 19.. Simplify by removing all possible factors from the radical: 50. a) 10 5 b) 2 5 c) 5 2 d) 5 10 20. Perform the indicated operation: (3 5)(5 1)xx. a) 15 29 52x x b) 15 28 52x x c) 15 28 42x x d) 15 22 42x x 21. Solve the following equation: 4)6(2 x . a) 8x b) 5x c) 4x d) 5xMAT135 First Day Diagnostic Spring 2010 4 22. What is the slope of the line shown below? You may assume that each tick mark represents one unit. y a) 2 b) 3 c) 2 d) 3 23. Simplify the expression: 2 6 2 16 8 24. a) 18 6 8 8 24 b) 10 6 c) 8 46 d) 18 6 8 24. What is the LCD of 239xx and 826x? a) 28( 9) 3 (2 6)x x x b) 2( 3)x c) 2(x 3)( 3)x d) 2( 3)( 3)xx 25. If32yx, then a line parallel to this is: a) 32yx b) 32yx c) 123yx d) 123yx
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