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2 MULTIPLE CHOICE 1. Which of the following rational expressions is equivalent to x - 2 (x+3) (x+4) A. 2(x-2) B. x 2 + x - 6 (x+3)(x+4) (x2+9) (x+4 ) C. x4 +x- 6 (2x-4)(x-1) x 2 -9 D. (x-1) (2x +8) (x+3) 2. The restriction(s) on the variable in the division _ x -5 x-3 x -2 x-1 are: A. x#1 B. x *1,2 C. x #1,2,3 D. x *1,2,3,5 3. The simplified form of 4 2 - + - is: x -3 3-x A. x - 3 B. C. 6 D. 6 3 - x x - 3 3- x ( 2+8 ) ( -c - s) 4. The rational expression x-25 is simplified fully to: x2 + 5x DC ( xx 18 ) A. B. 1-5x C) x- 5 D. X+5 x x 5. The value of x in the rational equation 1 2 X is : x+3 x+7 (x+3) (x+7) A. N/W N/V B. C. D. 6. A rectangle has length - cm and width 1 - cm. The perimeter of the rectangle is: x x+1 4x+2 C 2x+1 D. A. B. 4x +2 x(x+1) x (x+1) x (x+1)RX(2- 1) _4x - 85) 2 2-7 + ( re + 1 ) ( 2 - 3) NUMERICAL RESPONSE 1. An equivalent rational expression to *-3 Record the value of a in the first box 4x2 _ can be written as ax-b cx 2 - 2 4. Determine the equivalent form of if it needs to be in the form of ax+b 4x2-1 Record the value of b in the second box. ex - 6 /1 Record the value of c in the third box. Place the numbers in box on the cover sheet. 5. Algebraically solve the equation 5x -= 2 and state any restrictions on the 2. x-2 10-5x The number of non-permissible values for - 3x - 7 . (4x + 1) (x - 3) is: variables. Show all work. Place this number in box on the cover sheet. 4x2 - 2x 4x3 - 25x 13 012 171 2 3. The solution to the equation 4 x+ 4 3x - 3 is Place this number in box on the cover sheet. 6. Jonas has a daily exercise routine where he walks 6 km and runs for 8 km. He runs twice as 4. When simplified, the difference - 3 ax+ b fast as he walks. The total time of his workout is 2 hours. x - 7 x 2 - 49 can be written in the form (x+7) (x-7)' a) Fill in the chart: where a and b are integers. The values of a and b respectively are: D Record the value of a in the first box. S Record the value of b in the next two boxes. Walk Place this number in box on the cover sheet. Run WRITTEN RESPONSE 1. Write a rational expression where the variable is y, with non-permissible values of -2, 0 b) An equation that can be used to solve this problem for the speed he walks is: 6 82 and 14. /1 x 2 State the NPVs:. . Determine if 5-on and -(n-1) are equivalent. Show your work: no work, no marks. c) Solve the equation to determine the speed that he walks and runs. 16n 2n /1 x 2x 3x2 3. Write an equivalent rational expression for - 6x + 9 /1 C