Question 1

Add the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 x } { x - 1 } + \frac { 16 } { x - 1 }$

Accepted Answer

The answer of Add the rational expressions. Be sure to...

Question 2

Solve each equation for the variable y .  −5x−20=9y−1- \frac { 5 } { x - 20 } = \frac { 9 } { y - 1 }−x−205​=y−19​

Accepted Answer

A)    y=95x+37y = \frac { 9 } { 5 } x + 37y=59​x+37 
B)    y=59x−37y = \frac { 5 } { 9 } x - 37y=95​x−37 
C)    y=−95x+37y = - \frac { 9 } { 5 } x + 37y=−59​x+37D) A) and B)
E) A) and C)

Question 3

In a division problem, change all division to multiplication in order to simplify.

Accepted Answer

A) True 
 B)False

Question 4

Perform the indicated operation.  5x2+2−2x2+4x−5\frac { 5 } { x ^ { 2 } + 2 } - \frac { 2 } { x ^ { 2 } + 4 x - 5 }x2+25​−x2+4x−52​

Accepted Answer

A)    3x2+20x−29(x2+2) (x+5) (x−1) \frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right)  ( x + 5 )  ( x - 1 )  }(x2+2) (x+5) (x−1) 3x2+20x−29​ 
B)    3x2+20x−29(x2+2) (x−5) (x+1) \frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right)  ( x - 5 )  ( x + 1 )  }(x2+2) (x−5) (x+1) 3x2+20x−29​ 
C)    x2+20x−29(x2+2) (x−5) (x+1) \frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right)  ( x - 5 )  ( x + 1 )  }(x2+2) (x−5) (x+1) x2+20x−29​ 
D)    x2+20x−29(x2+2) (x+5) (x−1) \frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right)  ( x + 5 )  ( x - 1 )  }(x2+2) (x+5) (x−1) x2+20x−29​E) A) and C)
F) All of the above

Question 5

A sum of $2,000 is to be divided between two people in the ratio of 3 to 5. How much does each person receive?

Accepted Answer

A)   $650 and $1,350
B)   $950 and $1,050
C)   $450 and $1,550
D)   $750 and $1,250
E)   $850 and $1,150F) B) and E)
G) D) and E)

Question 6

The perimeter of a rectangle is 126 centimeters. If the ratio of its width to its length is 4 to 5, find the dimensions of the rectangle. __________ cm by ___________ cm

Accepted Answer

The answer of The perimeter of a rectangle is 126...

Question 7

Simplify the complex fraction. $\frac { \frac { - 2 } { x } - \frac { 4 } { x + 2 } } { \frac { 7 } { x ^ { 2 } + 2 x } + \frac { 7 } { x } }$

Accepted Answer

The answer of Simplify the complex fraction. \(\frac { \frac...

Question 8

Perform the indicated operation and express your answer in simplest form. $$\frac { 17 n ^ { 2 } } { n ^ { 4 } - 81 } - \frac { n } { n ^ { 2 } - 9 } + \frac { 1 } { n + 3 }$$ Please enter your answer as one fraction with the denominator factored completely.

Accepted Answer

The answer of Perform the indicated operation and express your...

Question 9

Subtract the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 } { 8 x - 1 } - \frac { 1 } { 4 x + 2 }$

Accepted Answer

The answer of Subtract the rational expressions. Be sure to...

Question 10

Perform the indicated operations involving rational numbers. Express final answer in reduced form. $\frac { - 16 } { 8 } \div \frac { 64 } { 24 }$

Accepted Answer

The answer of Perform the indicated operations involving rational numbers....

Question 11

The ratio of male students to female students at a certain university is 8 to 5. If there is a total of 13,000 students, find the number of male students and the number of female students. __________ male students __________ female students

Accepted Answer

The answer of The ratio of male students to female...

Question 12

Solve the equation. $\frac { 4 } { 3 x - 10 } = \frac { 6 } { 2 x + 10 }$

Accepted Answer

The answer of Solve the equation. \(\frac { 4 }...

Question 13

Simplify the rational expression. $\frac { - 20 y ^ { 3 } } { 45 x y ^ { 2 } }$

Accepted Answer

The answer of Simplify the rational expression. \(\frac { -...

Question 14

Solve the equation.  23x+56=76x\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }3x2​+65​=6x7​

Accepted Answer

A)    x=915x = \frac { 9 } { 15 }x=159​ 
B)    x=5430x = \frac { 54 } { 30 }x=3054​ 
C)    x=5490x = \frac { 54 } { 90 }x=9054​ 
D)    x=990x = \frac { 9 } { 90 }x=909​E) A) and D)
F) A) and C)

Question 15

Solve the equation for the variable y . $- \frac { 7 } { x - 14 } = \frac { 8 } { y - 1 }$

Accepted Answer

The answer of Solve the equation for the variable y...

Question 16

Perform the indicated operation involving rational expressions. Express final answer in simplest form. $\frac { 3 x ^ { 7 } y ^ { 7 } } { 4 x ^ { 8 } y ^ { 6 } } \div \frac { 24 } { 12 x ^ { 7 } }$

Accepted Answer

The answer of Perform the indicated operation involving rational expressions....

Question 17

Solve the equation.  x5x2+6x−x5x2+11x+6=4x2+x\frac { x } { 5 x ^ { 2 } + 6 x } - \frac { x } { 5 x ^ { 2 } + 11 x + 6 } = \frac { 4 } { x ^ { 2 } + x }5x2+6xx​−5x2+11x+6x​=x2+x4​

Accepted Answer

A)    x=−1924x = - \frac { 19 } { 24 }x=−2419​ 
B)    x=−2419x = - \frac { 24 } { 19 }x=−1924​ 
C)    x=2419x = \frac { 24 } { 19 }x=1924​D) B) and C)
E) A) and C)

Exam 9: Rational Expressions

Simplify the complex fraction. $\frac { \frac { - 2 } { x } - \frac { 4 } { x + 2 } } { \frac { 7 } { x ^ { 2 } + 2 x } + \frac { 7 } { x } }$

Correct Answer
verified

Perform the indicated operations involving rational numbers. Express final answer in reduced form. $\frac { - 16 } { 8 } \div \frac { 64 } { 24 }$

Correct Answer
verified

Solve the equation. $\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }$

Correct Answer
verified

Perform the indicated operation involving rational expressions. Express final answer in simplest form. $\frac { 3 x ^ { 7 } y ^ { 7 } } { 4 x ^ { 8 } y ^ { 6 } } \div \frac { 24 } { 12 x ^ { 7 } }$

Correct Answer
verified

Solve the equation. $\frac { 4 } { 3 x - 10 } = \frac { 6 } { 2 x + 10 }$

Correct Answer
verified

In a division problem, change all division to multiplication in order to simplify.

Correct Answer
verified

Subtract the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 } { 8 x - 1 } - \frac { 1 } { 4 x + 2 }$

Correct Answer
verified

Add the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 x } { x - 1 } + \frac { 16 } { x - 1 }$

Correct Answer
verified

The perimeter of a rectangle is 126 centimeters. If the ratio of its width to its length is 4 to 5, find the dimensions of the rectangle. cm by _ cm

Correct Answer
verified

The ratio of male students to female students at a certain university is 8 to 5. If there is a total of 13,000 students, find the number of male students and the number of female students. male students female students

Correct Answer
verified

Perform the indicated operation. $\frac { 5 } { x ^ { 2 } + 2 } - \frac { 2 } { x ^ { 2 } + 4 x - 5 }$

Correct Answer
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Perform the indicated operation and express your answer in simplest form. $\frac { 17 n ^ { 2 } } { n ^ { 4 } - 81 } - \frac { n } { n ^ { 2 } - 9 } + \frac { 1 } { n + 3 }$ Please enter your answer as one fraction with the denominator factored completely.

Correct Answer
verified

Solve each equation for the variable y . $- \frac { 5 } { x - 20 } = \frac { 9 } { y - 1 }$

Correct Answer
verified

A sum of $2,000 is to be divided between two people in the ratio of 3 to 5. How much does each person receive?

Correct Answer
verified

Simplify the rational expression. $\frac { - 20 y ^ { 3 } } { 45 x y ^ { 2 } }$

Correct Answer
verified

Solve the equation. $\frac { x } { 5 x ^ { 2 } + 6 x } - \frac { x } { 5 x ^ { 2 } + 11 x + 6 } = \frac { 4 } { x ^ { 2 } + x }$

Correct Answer
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Solve the equation for the variable y . $- \frac { 7 } { x - 14 } = \frac { 8 } { y - 1 }$

Correct Answer
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Exam 9: Rational Expressions

Simplify the complex fraction. −2x−4x+27x2+2x+7x\frac { \frac { - 2 } { x } - \frac { 4 } { x + 2 } } { \frac { 7 } { x ^ { 2 } + 2 x } + \frac { 7 } { x } }x2+2x7​+x7​x−2​−x+24​​

Correct AnswerverifiedShow Answer

Perform the indicated operations involving rational numbers. Express final answer in reduced form. −168÷6424\frac { - 16 } { 8 } \div \frac { 64 } { 24 }8−16​÷2464​

Correct AnswerverifiedShow Answer

Solve the equation. 23x+56=76x\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }3x2​+65​=6x7​

Correct AnswerverifiedShow Answer

Perform the indicated operation involving rational expressions. Express final answer in simplest form. 3x7y74x8y6÷2412x7\frac { 3 x ^ { 7 } y ^ { 7 } } { 4 x ^ { 8 } y ^ { 6 } } \div \frac { 24 } { 12 x ^ { 7 } }4x8y63x7y7​÷12x724​

Correct AnswerverifiedShow Answer

Solve the equation. 43x−10=62x+10\frac { 4 } { 3 x - 10 } = \frac { 6 } { 2 x + 10 }3x−104​=2x+106​

Correct AnswerverifiedShow Answer

In a division problem, change all division to multiplication in order to simplify.

Correct AnswerverifiedShow Answer

Subtract the rational expressions. Be sure to express your answer in simplest form. 28x−1−14x+2\frac { 2 } { 8 x - 1 } - \frac { 1 } { 4 x + 2 }8x−12​−4x+21​

Correct AnswerverifiedShow Answer

Add the rational expressions. Be sure to express your answer in simplest form. 2xx−1+16x−1\frac { 2 x } { x - 1 } + \frac { 16 } { x - 1 }x−12x​+x−116​

Correct AnswerverifiedShow Answer

The perimeter of a rectangle is 126 centimeters. If the ratio of its width to its length is 4 to 5, find the dimensions of the rectangle. __________ cm by ___________ cm

Correct AnswerverifiedShow Answer

The ratio of male students to female students at a certain university is 8 to 5. If there is a total of 13,000 students, find the number of male students and the number of female students. __________ male students __________ female students

Correct AnswerverifiedShow Answer

Perform the indicated operation. 5x2+2−2x2+4x−5\frac { 5 } { x ^ { 2 } + 2 } - \frac { 2 } { x ^ { 2 } + 4 x - 5 }x2+25​−x2+4x−52​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Solve each equation for the variable y . −5x−20=9y−1- \frac { 5 } { x - 20 } = \frac { 9 } { y - 1 }−x−205​=y−19​

Correct AnswerverifiedShow Answer

A sum of $2,000 is to be divided between two people in the ratio of 3 to 5. How much does each person receive?

Correct AnswerverifiedShow Answer

Simplify the rational expression. −20y345xy2\frac { - 20 y ^ { 3 } } { 45 x y ^ { 2 } }45xy2−20y3​

Correct AnswerverifiedShow Answer

Solve the equation. x5x2+6x−x5x2+11x+6=4x2+x\frac { x } { 5 x ^ { 2 } + 6 x } - \frac { x } { 5 x ^ { 2 } + 11 x + 6 } = \frac { 4 } { x ^ { 2 } + x }5x2+6xx​−5x2+11x+6x​=x2+x4​

Correct AnswerverifiedShow Answer

Solve the equation for the variable y . −7x−14=8y−1- \frac { 7 } { x - 14 } = \frac { 8 } { y - 1 }−x−147​=y−18​

Correct AnswerverifiedShow Answer

Simplify the complex fraction. $\frac { \frac { - 2 } { x } - \frac { 4 } { x + 2 } } { \frac { 7 } { x ^ { 2 } + 2 x } + \frac { 7 } { x } }$

Correct Answer
verified

Perform the indicated operations involving rational numbers. Express final answer in reduced form. $\frac { - 16 } { 8 } \div \frac { 64 } { 24 }$

Correct Answer
verified

Solve the equation. $\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }$

Correct Answer
verified

Perform the indicated operation involving rational expressions. Express final answer in simplest form. $\frac { 3 x ^ { 7 } y ^ { 7 } } { 4 x ^ { 8 } y ^ { 6 } } \div \frac { 24 } { 12 x ^ { 7 } }$

Correct Answer
verified

Solve the equation. $\frac { 4 } { 3 x - 10 } = \frac { 6 } { 2 x + 10 }$

Correct Answer
verified

Correct Answer
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Subtract the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 } { 8 x - 1 } - \frac { 1 } { 4 x + 2 }$

Correct Answer
verified

Add the rational expressions. Be sure to express your answer in simplest form. $\frac { 2 x } { x - 1 } + \frac { 16 } { x - 1 }$

Correct Answer
verified

The perimeter of a rectangle is 126 centimeters. If the ratio of its width to its length is 4 to 5, find the dimensions of the rectangle. cm by _ cm

Correct Answer
verified

The ratio of male students to female students at a certain university is 8 to 5. If there is a total of 13,000 students, find the number of male students and the number of female students. male students female students

Correct Answer
verified

Perform the indicated operation. $\frac { 5 } { x ^ { 2 } + 2 } - \frac { 2 } { x ^ { 2 } + 4 x - 5 }$

Correct Answer
verified

Correct Answer
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Solve each equation for the variable y . $- \frac { 5 } { x - 20 } = \frac { 9 } { y - 1 }$

Correct Answer
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Correct Answer
verified

Simplify the rational expression. $\frac { - 20 y ^ { 3 } } { 45 x y ^ { 2 } }$

Correct Answer
verified

Solve the equation. $\frac { x } { 5 x ^ { 2 } + 6 x } - \frac { x } { 5 x ^ { 2 } + 11 x + 6 } = \frac { 4 } { x ^ { 2 } + x }$

Correct Answer
verified

Solve the equation for the variable y . $- \frac { 7 } { x - 14 } = \frac { 8 } { y - 1 }$

Correct Answer
verified