If $fraction numerator 9 x squared over denominator 3 x plus 1 end fraction$ is equivalent to $fraction numerator 1 over denominator 3 x plus 1 end fraction plus B$ for all x, which of the following is equivalent to B?

Subtraction of Algebraic Expressions is the process of collecting like terms and adding them.

Rewrite as a rational expression. $fraction numerator 1 plus 1 over x over denominator x minus 1 over x end fraction$

Addition of Algebraic Expressions is the process of collecting like terms and adding them.

Rewrite as a rational expression. $fraction numerator 1 plus 1 over x over denominator x minus 1 over x end fraction$

Addition of Algebraic Expressions is the process of collecting like terms and adding them.

For what value of x is the sum undefined? $fraction numerator x minus 5 y over denominator x plus y end fraction text and end text fraction numerator x plus 7 y over denominator x plus y end fraction$

Addition of Algebraic Expressions is the process of collecting like terms and adding them.

For what value of x is the sum undefined? $fraction numerator x minus 5 y over denominator x plus y end fraction text and end text fraction numerator x plus 7 y over denominator x plus y end fraction$

Addition of Algebraic Expressions is the process of collecting like terms and adding them.

Find the sum. $fraction numerator 5 x over denominator x plus 7 end fraction plus 7 over x$

$fraction numerator 5 x over denominator x plus 7 end fraction plus 7 over x equals fraction numerator 5 x cross times x over denominator left parenthesis x plus 7 right parenthesis x end fraction plus fraction numerator 7 left parenthesis x plus 7 right parenthesis over denominator x left parenthesis x plus 7 right parenthesis end fraction$
$L CM colon x left parenthesis x plus 7 right parenthesis$ $equals fraction numerator 5 x squared plus 7 x plus 49 over denominator x left parenthesis x plus 7 right parenthesis end fraction$

Find the sum. $fraction numerator 5 x over denominator x plus 7 end fraction plus 7 over x$

Find the LCM of the polynomials. $x squared minus y squared text and end text x squared minus 2 x y plus y squared$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared minus y squared equals left parenthesis x minus y right parenthesis left parenthesis x plus y right parenthesis end cell row cell x squared minus 2 x y plus y squared equals left parenthesis x minus y right parenthesis squared equals left parenthesis x minus y right parenthesis left parenthesis x minus y right parenthesis end cell row cell text LCM: end text left parenthesis x minus y right parenthesis squared left parenthesis x plus y right parenthesis end cell end table$

Find the LCM of the polynomials. $x squared minus y squared text and end text x squared minus 2 x y plus y squared$

Find the sum. $fraction numerator 4 x over denominator x plus 7 end fraction plus fraction numerator 9 over denominator x plus 7 end fraction$

$fraction numerator 4 x over denominator x plus 7 end fraction plus fraction numerator 9 over denominator x plus 7 end fraction equals fraction numerator left parenthesis 4 x plus 9 right parenthesis over denominator x plus 7 end fraction$

Find the sum. $fraction numerator 4 x over denominator x plus 7 end fraction plus fraction numerator 9 over denominator x plus 7 end fraction$

During their day at the beach, Jae and his friends rent a Jet Ski. They split the $120 rental fee evenly among themselves. Then Jae, with only his friend Morgan, shares the cost of a $16 pizza. If Jae spends a total of $48 for both, then find the number of friends, n, with whom he shared the cost of the Jet Ski rental.

When we solve rational expressions, always cross-check the solutions.

During their day at the beach, Jae and his friends rent a Jet Ski. They split the $120 rental fee evenly among themselves. Then Jae, with only his friend Morgan, shares the cost of a $16 pizza. If Jae spends a total of $48 for both, then find the number of friends, n, with whom he shared the cost of the Jet Ski rental.

When we solve rational expressions, always cross-check the solutions.

Paige can complete a landscaping job in 6 hours. Malia can complete the same job in 4 hours. Working together, how long would it take them to complete the job?

For solving time and work problems, we generally use the unitary method.

Paige can complete a landscaping job in 6 hours. Malia can complete the same job in 4 hours. Working together, how long would it take them to complete the job?

For solving time and work problems, we generally use the unitary method.

Kenji can finish a puzzle in 2 hours working alone. Oscar can finish the same puzzle in 3 hours working alone. How long would it take Oscar and Kenji to finish the puzzle if they worked on it together?

For solving time and work problem, we generally use unitary method

Kenji can finish a puzzle in 2 hours working alone. Oscar can finish the same puzzle in 3 hours working alone. How long would it take Oscar and Kenji to finish the puzzle if they worked on it together?

For solving time and work problem, we generally use unitary method

The speed of a stream is 4 km/h. A boat can travel 6 km upstream in the same time it takes to travel 12 km downstream. Find the speed of the boat in still water.

Solve:
$fraction numerator 15 over denominator x plus 3 end fraction equals 3$

When we solve rational expressions, always cross-check the solutions.

Solve:
$fraction numerator 15 over denominator x plus 3 end fraction equals 3$

When we solve rational expressions, always cross-check the solutions.

Solve:
$fraction numerator x squared over denominator x plus 3 end fraction equals fraction numerator 9 over denominator x plus 3 end fraction$

When we solve rational expressions, always cross-check the solutions.

Solve:
$fraction numerator x squared over denominator x plus 3 end fraction equals fraction numerator 9 over denominator x plus 3 end fraction$

When we solve rational expressions, always cross-check the solutions.

Which of the following is the solution of $fraction numerator 3 over denominator x plus 1 end fraction equals fraction numerator 2 over denominator x minus 3 end fraction ?$

We use fundamental operations to solve the linear equation in one variable

Which of the following is the solution of $fraction numerator 3 over denominator x plus 1 end fraction equals fraction numerator 2 over denominator x minus 3 end fraction ?$

We use fundamental operations to solve the linear equation in one variable

A chemist needs alcohol solution in the correct concentration for her experiment. She adds a 6% alcohol solution to 50 gallons of solution that is 2% alcohol. The function that represents the percent of alcohol in the resulting solution is f(x) = [50(0.02) + x(0.06)]/(50 + x), where x is the amount of 6% solution added. How much 6% solution should be added to create a solution that is 5% alcohol?

Russel and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would it take Russel to build the shed if he were to work alone?