05.11 Module Five Review and Practice Test

1. (05.01) What is the simplified form of 9x* - 25 ? (1 point) 3x + 5 O 3x + 5, with the restriction x = 3x - 5, with the restriction x = O 3x - 5, with the restriction x = - 3x + 5, with the restriction x = - 2. (05.01) What is the simplified form of 122" +72-12 ? (1 point) 32? - 2z-8 O 42 +3 2+2 O 4z-3 2+2 4z+3 Z-2 0 4z-3 Z- 23. (05.02) What is the simplified form of X +4 x+4 ? (1 point) x + x - 12 x7 + 8x +16 (x - 4) O 1 x+3 (x-4) O x +4) O (x -3 ( x+4) 4. (05.02) What is the simplified form of _* +1 + x *+ 5x +4 ? (1 point) X'+x-B x+4 O 1 (x +3 (x+4) O 1 (x +3 x-2) O 1 x+4 (x-2) O 1 (x +3( x+1)5. (05.03) What is the simplified form of - 2 ? (1 point) X- X O x - 1 x (x +1) O 1-X x(x + 1) O 3-X x (x - 1) O X - 3 x(x -1) 6. (05.03) 21 What is the simplified form of 3 ? (1 point) 4x +3 8x + 26x +15 O 6(2x +5) (2x - 5)(4x + 3) O 6 4x +3 O 6(x +6) (2x - 5)(4x 43) O 6(x+6) (2x +5)(4x +3)7. (05.04) What is the simplified form of X" ? (1 point) 3 O X O 3x O 3x O X 8. (05.04) x" - 5x + 6 15xy What is the simplified form of ? (1 point) 2x2 - 7x +3 5x y 3y(2x + 1) x(x +2) O x(x +2) 3y(2x + 1) O x(x - 2) 3y(2x - 1) 3y(2x - 1) x(x - 2)\f\f\f11. (05.07) What are the vertical asymptotes of the function f(x) = 3x +9 ? (1 point) x +4x -12 x = -6 and x = -2 () x= -6 and x = 2 x = 1 and x= -2 () x = 1 and x = 2 12. (05.07) What is the oblique asymptote of the function f(x) = * + 6x + 10 ?(1 point) x+2 y=x+1 Oy=x - 1 Oy=x+4 Oy=x -413. (05.07) What is the graph of the function f(x) = +4 ? (1 point) x+6 O 5 3 2 -11-10 -8 -8 -7 -6 -5-4 -3 -2 O -0-7-6-5-4-3-23 1 2 34 5 67 8 O 8-7-6-6-4- 12845678\f14. (05.08) What is the solution to the rational equation X 2 ? (1 point) 2x - 1 4 2x - 1 O O * = 15. (05.08) X 1 1 What is the solution to the rational equation ? (1 point) x -9 x+3 4x-12 O *= O x = 15 O X = 15 16. (05.08) Solve 4 for x and determine if the solution is extraneous or not. (1 point) x+2 * = -2, extraneous ()x = -2, non-extraneous O x = 2, extraneous )* = 2, non-extraneous17. (05.08) Solve 5 X 2 for x and determine if the solution is extraneous or not. (1 point) x-5 x -5 4 x = -5, extraneous )* = -5, non-extraneous x = 5, extraneous x = 5, non-extraneous 18. (05.08) Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function? (1 point) 4x + 8 2x + 12 O X 2 - 4 O x2 - 16 19. (05.09) Lance can paint the room 5 hours, while Kim can paint the same room in 4 hours. How many hours would it take for them to paint the room together? (1 point) O 9 20 O 20 9 O20. (05.09) Wendy can wash a car twice as fast as Jason. When they work together, Wendy and Jason can wash a large van in 2 hours. How many hours would it take Jason to wash the van by himself? (1 point) O 5 6 O O 2 21. (05.09) Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours. How many hours does the maintenance take if they work together? (1 point) O