Exam 7: Rational Expressions and Equations

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Perform the operation indicated. Simplify. - x8+1214x58\frac { \frac { x } { 8 } + \frac { 1 } { 2 } } { \frac { 1 } { 4 x } - \frac { 5 } { 8 } }

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Perform the operation indicated. Simplify. - 3y23y+2+5y1\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 5 } { y - 1 }

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Perform the operation indicated. Simplify. - 36q225p2pq6q5p\frac { \frac { 36 q ^ { 2 } - 25 p ^ { 2 } } { p q } } { \frac { 6 } { q } - \frac { 5 } { p } }

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D

Simplify. - y2+9y+20y2+10y+24\frac { y ^ { 2 } + 9 y + 20 } { y ^ { 2 } + 10 y + 24 }

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Perform the operation indicated. Simplify. - 2aba2b2bab+82\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + \frac { 8 } { 2 }

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Perform the operation indicated. Simplify. - 6xx+1+7x112x21\frac { 6 x } { x + 1 } + \frac { 7 } { x - 1 } - \frac { 12 } { x ^ { 2 } - 1 }

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Perform the operation indicated. - 15r214rt8t210r221rt10t230r211rt28t215r28rt16t2\frac { 15 r ^ { 2 } - 14 r t - 8 t ^ { 2 } } { 10 r ^ { 2 } - 21 r t - 10 t ^ { 2 } } \cdot \frac { 30 r ^ { 2 } - 11 r t - 28 t ^ { 2 } } { 15 r ^ { 2 } - 8 r t - 16 t ^ { 2 } }

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Perform the operation indicated. Simplify. - 5xx420x4\frac { 5 x } { x - 4 } - \frac { 20 } { x - 4 }

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Find the LCD. Do not combine fractions. - 5x29x+20,9x28x+16\frac { 5 } { x ^ { 2 } - 9 x + 20 } , \frac { 9 } { x ^ { 2 } - 8 x + 16 }

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Perform the operation indicated. Simplify. - xx2166x2+5x+4\frac { x } { x ^ { 2 } - 16 } - \frac { 6 } { x ^ { 2 } + 5 x + 4 }

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Simplify. - (7x5)27x261x+40\frac { ( 7 x - 5 ) ^ { 2 } } { 7 x ^ { 2 } - 61 x + 40 }

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Find the LCD. Do not combine fractions. - 4x2+6x,9x2+3x18\frac { 4 } { x ^ { 2 } + 6 x } , \frac { 9 } { x ^ { 2 } + 3 x - 18 }

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Perform the operation indicated. Simplify. - 4x23x+2+5x21\frac { 4 } { x ^ { 2 } - 3 x + 2 } + \frac { 5 } { x ^ { 2 } - 1 }

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Simplify. - y22y8y24y12\frac { y ^ { 2 } - 2 y - 8 } { y ^ { 2 } - 4 y - 12 }

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Simplify. - x3+10x2+21xx2+12x+35\frac { x ^ { 3 } + 10 x ^ { 2 } + 21 x } { x ^ { 2 } + 12 x + 35 }

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Simplify. - 1x22x2+3x5\frac { 1 - x ^ { 2 } } { 2 x ^ { 2 } + 3 x - 5 }

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Find the LCD. Do not combine fractions. - 812x2y5,816x3y3\frac { 8 } { 12 x ^ { 2 } y ^ { 5 } } , \frac { 8 } { 16 x ^ { 3 } y ^ { 3 } }

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Perform the operation indicated. - x2+9x+20x2+11x+28x2+7xx22x35\frac { x ^ { 2 } + 9 x + 20 } { x ^ { 2 } + 11 x + 28 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } - 2 x - 35 }

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Perform the operation indicated. Simplify. - 64x1119114x\frac { 6 } { 4 x - 11 } - \frac { 19 } { 11 - 4 x }

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Simplify. - 5x25x25x\frac { 5 x - 25 } { x ^ { 2 } - 5 x }

(Multiple Choice)
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