Question 1

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

Accepted Answer

A)  $\frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x + 5 ) ( x - 1 ) }$ 
B)  $\frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x - 5 ) ( x + 1 ) }$ 
C)  $\frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x - 5 ) ( x + 1 ) }$ 
D)  $\frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x + 5 ) ( x - 1 ) }$ 
A)  $\frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x + 5 ) ( x - 1 ) }$ 
B)  $\frac { 3 x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x - 5 ) ( x + 1 ) }$ 
C)  $\frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x - 5 ) ( x + 1 ) }$ 
D)  $\frac { x ^ { 2 } + 20 x - 29 } { \left( x ^ { 2 } + 2 \right) ( x + 5 ) ( x - 1 ) }$

Question 2

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 3

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

Accepted Answer

A) True 
 B)False

Question 4

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 5

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

Accepted Answer

A)  $x = - \frac { 19 } { 24 }$ 
B)  $x = - \frac { 24 } { 19 }$ 
C)  $x = \frac { 24 } { 19 }$ 
A)  $x = - \frac { 19 } { 24 }$ 
B)  $x = - \frac { 24 } { 19 }$ 
C)  $x = \frac { 24 } { 19 }$

Question 6

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 7

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 8

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

Question 9

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

Accepted Answer

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

Question 10

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 11

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 12

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

Accepted Answer

A)  $x = \frac { 9 } { 15 }$ 
B)  $x = \frac { 54 } { 30 }$ 
C)  $x = \frac { 54 } { 90 }$ 
D)  $x = \frac { 9 } { 90 }$ 
A)  $x = \frac { 9 } { 15 }$ 
B)  $x = \frac { 54 } { 30 }$ 
C)  $x = \frac { 54 } { 90 }$ 
D)  $x = \frac { 9 } { 90 }$

Question 13

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

Accepted Answer

A)  $y = \frac { 9 } { 5 } x + 37$ 
B)  $y = \frac { 5 } { 9 } x - 37$ 
C)  $y = - \frac { 9 } { 5 } x + 37$ 
A)  $y = \frac { 9 } { 5 } x + 37$ 
B)  $y = \frac { 5 } { 9 } x - 37$ 
C)  $y = - \frac { 9 } { 5 } x + 37$

Question 14

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 15

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

Accepted Answer

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

Question 16

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 17

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...

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

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

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

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

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

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

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

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?

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

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

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

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

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

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

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

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.

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

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 9: Rational Expressions

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​

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

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

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​

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​

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​

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

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?

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

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​

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​

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

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

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

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

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​​

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

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

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

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

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

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

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

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

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

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

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

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

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

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

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