MAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 1 1. Given2( ) 2 9 18f x x x, which of the following is a factor? A. ( 9)x B. ( 6)x C. (2 6)x D. (2 3)x 2. A garage door measures 82xfeet by 43xfeet, where x is the length of the sides of the square windows in the door. Write a polynomial expression that represents the area of the garage door. A. 232 16 6xx B. 232 32 6xx C. 212 32 6xx D. 12 1x 3. Write the polynomial 462 5 3x x x in descending order. A. 463 5 2x x x B. 642 5 3x x x C. 463 5 2x x x D. 642 5 3x x x 4. Simplify: 22( 5 2 6) (2 4)x x x x. A. 23 10xx B. 27 3 2xx C. 27 10xx D. 23 3 2xx 5. Solve: 2 2 102 14xyxy. A. (2,4) B. ( 10,3) C. ( 8,3) D. no solution 6. Divide and simplify: 21324xx. A. 23x B. 32x C. 23x D. 2xMAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 2 7. If 23291( ) and ( ) , find ( ) ( )6 18 3xxf x g x f x g xx x x. A. 2( 1)( 3)6xxx B. 21xx C. 16xx D. 216xx 8 What is the LCD of 226 and 36 -6sts t s t? A. ( 6 )st B. 2( 6 )st C. 2( 6 ) ( 6 )s t s t D. ( 6 )( 6 )s t s t 9. On Planet X, the height, in feet, of a rock dropped from 100 feet above the ground is given by 2( ) 100 4h t t. Write this function in factored form. A. 2(10 2 )t B. 2(10 2 )t C. (10 2 )(10 2 )tt D. (100 4 )(100 4 )tt 10. Factor 9 7 212 15 30m m m by finding the GCF. A. 8 6 49(6 7 2 )m m m B. 2 7 53 (4 5 10)m m m C. 4 4 2(5 63 18)m m m D. This is a prime polynomial. 11 . Which is a factor of 23 54?xx A. ( 9)x B. ( 9)x C. ( 6)x D. ( 3)x 12. Factor completely: 26 19 15xx. A. (2 3)(3 5)xx B. (3 3)(2 5)xx C. (6 3)( 5)xx D. (2 3)(3 5)xxMAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 3 13. The graph shown below is the solution to which system of equations? A. 3 5 95 4 7xyxy B. 3 5 95 6 8xyxy C. 5 4 739xyxy D. 5 4 739xyxy 14. If 21( ) and ( ) , find ( ) ( )56yyf y g y f y g yyy. A. 21( 5)( 6)yyy B. 2121yy C. 22 17( 5)( 6)yyy D. 22 2 17( 5)( 6)yyyy 15. Factor completely: 23 13 10xx. A. (3 2)( 5)xx B. ( 2)(3 5)xx C. (3 5)( 2)xx D. ( 5)(3 2)xx x yMAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 4 16. Which polynomial is a third degree polynomial with a leading coefficient of 8? A. 328 2 5x x x B. 329 2 8x x x C. 4 3 29 2 8x x x D. 4 3 28 2 5x x x 17. Multiply: (2 9)(4 2)xx. A. 28 40 17xx B. 28 32 17xx C. 28 40 18xx D. 28 39 18xx 18. Simplify: 22( 7 2 4) ( 3 4 8)x x x x. A. 24 2 4xx B. 210 6 12xx C. 24 6 12xx D. 210 2 4xx 19. Factor completely: 762 3 14 21x x x. A. 6( 7)(2 3)xx B.7( 7)(2 3)xx C. 6( 7)(2 3)xx D.7( 7)(2 3)xx 20. Divide and simplify: 223 23 30 3 536 6n n nnn. A. 66nn B. 16n C. 229 30 2536nnn D. 1 21. What value(s) make the expression undefined: 222568xxx? A. 4, 2xx B. 4, 2xx C. 0x D. 5, 5xxMAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 5 22. Factor completely: 294p. A. This is a prime polynomial. B. 2(3 2)p C. 2(3 2)p D. (3 2)(3 2)pp 23. Express the perimeter of the triangle as a single rational expression. 2x 5x 31x A. 27 7 3010 10xxx B. 23 3 301xxx C. 23 3 3xxx D. 27 7 31xxx 24. Multiply and simplify: 2228 1614z z z zzz. A. 4zz B. ( 4)1zzz C.41zz D. ( 4)1zzz 25. A vendor sells hot dogs and potato chips. A customer buys 5 hot dogs and 4 bags of potato chips for $15.25. Another customer buys 4 hot dogs and 4 bags of potato chips for $13.00. What is the cost of each item? A. It costs $2.25 for a hot dog and $1.25 for a bag of chips. B. It costs $2.50 for a hot dog and $1.25 for a bag of chips. C. It costs $1.00 for a hot dog and $2.25 for a bag of chips. D. It costs $2.25 for a hot dog and $1.00 for a bag of chips.MAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 6 26. What is true of the function22()49tgtt? A. It is defined on33( , ) ( , )22. B. It is defined on 3 3 3 3( , ) ( , ) ( , )2 2 2 2. C. It is defined on( ,0) (0, ). D. It is defined for all real numbers. 27. Are the following expressions equivalent: 23 2 1 and 15 19 6 5 3xx x x? A. They are equivalent except at 23x. B. They are not equivalent. 28. Subtract and simplify: 21 13 36 1 1 36ttt. A. 27(6 1)(6 1)ttt B. 19 2(6 1)(6 1)ttt C. 4 136 (6 1)ttt D. 19 4(6 1)(6 1)ttt 29. Multiply: ( 9)( 9)aa. A. 218a B. 281a C. 218 81aa D. 218 81aa 30. Solve: 342 2 6xyxy. A. B. 15,44 C. 57,44 D. 75,44MAT135 Review for Test 2 Dugopolski Sections 4.1, 4.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 6.1, 6.2, 6.3 7 31. Solve: 26 14xx. A. 4,5 B. 4, 5 C. 17,12 D. 11,16 32. Which of the following statements is not true? A. 22( 5) 10 25x x x B. 3 3 6 2( )( )x y x y x y C. 3 2 2 6(3 5 ) 9 25x y x y D. ( 1)( 2) 2 2z y yz y z 33. Evaluate P(-2) if 2( ) 2 1P x x x. A. 7 B. 9 C. 9 D. 1 34. A room is 4 feet longer than it is wide. Its area is 192 square feet. What are the dimensions of the room? A. The room is 8 feet wide and 24 feet long. B. The room is 24 feet wide and 8 feet …