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Published byClyde Lynch Modified over 9 years ago
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1 1 Is 5 a solution to the equation (x + 5)/(x –5) = 10/(x – 5) ?
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2 2 (3x – 5)/(2x + 1) Is it a rational equation ?
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3 3 f(x) = 1/ (x – 1) when x = - 2. Find the domain of set builder notation
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4 4 Solve the rational equation 1/(x – 2) = -1
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5 5 Solve the rational equation 4/ (x – 3) = x
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6 6 Write the symbolic representation for the rational function’ Divide x- squared by the quantity x minus 3’
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7 7 Is 3/(3 + x) equal to 1/x ?
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8 8 (m 3 + n 3 )/(m +n ) = ?
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9 9 Simplify ( x 2 - 3x – 10) /(x 2 - 6x + 5)
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10 (4 – y)/(y – 4) = ?
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11 The reciprocal of (x 2 - 4)/(3x + 1)
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12 (b 2 + 1)/ (b 2 - 1) x (b – 1)/ (b + 1) Simplify
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13 The least common multiple of x 2 - 4, x 2 + 2x
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14 Simplify 3/2 – 1/8
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15 Simplify 4n/(n 2 - 9) – 8/ ( n – 3)
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16 A pump can empty a pool in 50 hours. To speed up the process a second pump is used that can empty the pool in 80 hours. How long will it take for both pumps working together to empty the pool?
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17 Solve 2/x – 7/3 = -29/15
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18 Solve 1/x + 1/x 2 = 2
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19 1/r = 1/(t + 1) ; Find t
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20 (2 + 2/3)/ (2 – ¼)
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21 (x/2y)/(2x/3y)
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22 (1/a + 1/b) /(1/a – 1/b)
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23 A 6 foot tall person casts a 4 – foot long shadow. If a nearby tree casts a 44-foot long shadow, estimate the height of the tree.
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24 What is the LCD of 1/6 and 1/9
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25 Least common multiple of 12ab, 6a 2
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26 A 100 watt bulb with a resistance of R1 = 120 ohms and a 75-watt light bulb with a resistance of R2 = 160 ohms are placed in an electric circuit. Find their combined resistance. 1/R = 1/R1 + 1/R2
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27 What would be a good first step in solving 3/(x + 7) = x ?
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28 If x = 4, then (x-4)/(x – 4)
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29 Simplify 4. 7/4. 1/2
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30 Solve the proportion 3/2 = 2x/9
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1 1 No, the equation is undefined
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2 2 Yes
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3 3 x = -1/3 ; { x/ x = 1}
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4 4 1
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5 5 - 1, 4
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6 6 f(x) =x/(x – 3)
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7 7 No
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8 8 m 2 – mn +n 2
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9 9 (x + 2)/(x – 1)
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11 (3x + 1)/ (x 2 - 4)
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12 (b 2 + 1)/(b + 1) 2
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13 x(x – 2)(x + 2)
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14 11/8
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15 4(n + 6)/(n – 3)(n + 3)
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16 30.8 hours
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17 5
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18 1, - 1/2
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19 r - 1
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20 14/3
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21 x 2 /3y 2
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22 ( b 2 - a 2 ) /a 2 b 2
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23 66 ft
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24 18
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25 12a 2 b
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26 480/ 7 = 69 ohms
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27 Multiply both sides by x + 7
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28 1
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29 7/2
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30 27/4
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