MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 1 1. Simplify: 22369 18aaa. A. 63aa B. 63aa C. 63aa D. 63aa 2. A patio has an area of 323 20 5 72x x x. If the width is represented by38x, which expression below represents the length? A. 249xx B. 249xx C. 249xx D. 3249x x x 3. Find the area of a square with a side of 63 cm. A. 108 cm2 B. 36 3cm2 C. 324 cm2 D. 18 cm2 4. Simplify, assuming that the variable represents nonnegative values: 2245x. A. 7x B. 245x C. 75x D. 75x 5. Simplify: 6426 123xxx. A. 82x B. 6264xx C. 442 12xx D. 4224xx 6. If ()fx is a polynomial representing the distance a car travels and ()gx is a polynomial representing the time it takes to travel the given distance, which of the following represents an expression for the rate at which the car travels? A. ( ) ( )f x g x B. ()()fxgx C. ()()gxfx D. It cannot be determined from the given information 7. If 2( ) 16 63, ( ) 9f x x x g x x, what is ()()fxgx? A. 7x B. 16x C. 216x D. 27xMAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 2 8. Simplify, assuming that the variable represents nonnegative values: 10 625 uv. A. 5350uv B. 535uv C. 10 65uv D. 5325uv 9. If 2()3fxx, find the value at which 3()5fx. A. 13 B. 73 C. 133 D. 193 10. If 4( ) 81, ( ) 3f x x g x x, what is ()()fxgx? A. 323 9 27x x x B. 321623 9 273x x xx C. 321623 9 273x x xx D. 32813 9 273x x xx 11. Simplify: 2 7 162 4 8. A. 54 2 B. 32 C. 3 172 D. 54 172 12. Rationalize the denominator and simplify: 659. A. 3 30 9 614 B. 30 9 614 C. 3 30 9 676 D. 30 9 676MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 3 13. Solve: 2522xxx. A. 12x B. 2x C. 2x D. There is no solution. 14. Multiply and simplify, assuming that the variables represent nonnegative numbers: 5 13 1733xy x y. A. 4 7 23x y xy B. 4 7 23x y x y C. 483x y xy D. 4 5 2 23x y x y 15. Simplify, assuming that the variable represents nonnegative values:3205( 32 )x. A. 128x B. 48x C. 38x D. 432x 16. Evaluate: 364125. A. 45 B. 64125 C. 1625 D. 45 17. If5( ) and ( ) 7 , find ( ) ( )f x x g x x x f x g x. A. 67xx B. 27xx C. 37xx D. 37xx 18. Multiply and simplify:5 10 12 10 12. A. 82 B. 38 C. 62 4 22 D. 38 8 30MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 4 19. Simplify, assuming that all variables represent nonnegative numbers: 369625xy. A. 33465xy B. 3465xxy C. 233465x xyy D. 33465xy 20. The cost, C, of producing n items is approximated by81 9Cn. What does it cost to produce no items? A. $243.00 B. $81.00 C. $27.00 D. $0.00 21. Add and simplify: 3 6 3553 2 5 2x y x y. A. 235(3 5) 2y x y B. 35(3 5) 2y x y C. 3582xy D. This expression cannot be simplified. 22. A storage pod with a rectangular base has a length of 18 feet and a width of 50 feet. What is the perimeter of the base of the pod? A. 16 2ft. B. 82 ft. C. 85 ft. D. 16 5 ft. 23. 12()5xxPxx models the percentage, P(x), of taxpayers who are x years old who are required to pay more taxes than had been withheld during the year. Find the percentage of 49-year old taxpayers who must pay more taxes. A. 10.1% B. 25.3% C. 26.6% D. 28.8% 24. Find y if2210, 2, 5, 4 and xzx z w v ywv. A. 1 B.12 C. 12 D. 2MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 5 25. Solve: 4 5 3137xx A. 1437 B. 1437 C. 5637 D. 5619 26. Given the area, A, of a circle, the formula Ar can be used to calculate the radius, r, of the circle. Rewrite the formula by rationalizing the denominator. A. 2Ar B. ArA C. rA D. Ar 27. Simplify, assuming that all variables represent nonnegative numbers: 5410 1681xyz. A. 410 163xxyz B. 48 16 23xxy z y C. 42 4 23xxy z y D. 42 4 281xxy z y 28. Which of the following is not true? A. 81 9xx B. 281 9xx C. 299 xx D. 81 9xx 29. Which of the following is equal to 13125 ? A. 5 B. 5 C. 163 D. -41.67MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 6 30. Multiply and simplify: 263x. A. 36 9x B. 36 9x C. 36 18 9xx D. 36 36 9xx 31. Find the perimeter of the square shown at the right. 45 x in. A. 90 x in. B 180 xin. C. 2,025x in. D. 22,025x in. 32. Multiply and simplify: 6 2 2 6xx A. 12 12 x B. 12 16 12xx C. 4 3 10 3xx D. 4 3 4 3xx 33. Simplify: 2240 9020 10 30yyy. A. 231yy B. 2323yy C. 231yy D. 5 34. Solve: 4210 7xx. A. 12,4 B. 4,12 C. 12, 4 D. 12,4 35. The number, n, of students who have come down with the flu at one elementary school is approximated by 3 2 1n x x, where x is the number of days since school started. If school started 4 days ago, how many students have the flu? A. 3 B. 9 C. 16 D. 20MAT135 Review for Test 3 Dugopolski Sections 6.5, 6.6, 6.7, 7.1, 7.2, 7.3, 7.4 7 KEY Review for Test 3 1. D 30. D 2. B 31. B 3. A 32. C 4. C 33. C 5. D 34. A 6. B 35. B 7. A 8. D 9. D 10. C 11. A 12. D 13. D 14. B 15. A 16. A 17. C 18. D 19. B 20. A 21. B 22. A 23. A 24. C 25. D 26. D 27. C 28. A 29.