Solving Rational Equations with Different Denominators

What is the first step in solving a rational equation?

• Multiply both sides by the denominator

• Add the denominator to both sides

• Subtract the denominator from both sides

• Divide both sides by the numerator

How do you solve a quadratic equation?

• By dividing by the leading coefficient

• By subtracting the constant term

• By adding the coefficients

• By factoring

What is the solution to the equation x^2 - 6x + 8 = 0?

• x = 1, 8

• x = 0, 6

• x = -2, -4

• x = 2, 4

What is the purpose of multiplying both sides of a rational equation by the denominator?

• To eliminate the fractions

• To find the denominator

• To create a quadratic equation

• To simplify the equation

What method is used to solve the equation 3x^2 - 14x + 15 = 0?

• Completing the square

• Factoring

• Graphing

• Using the quadratic formula

What are the solutions to the equation 3x^2 - 14x + 15 = 0?

• x = 2, x = 5

• x = 1, x = 5

• x = -3, x = -5/3

• x = 3, x = 5/3

How do you check if the solutions to a rational equation are correct?

• By substituting back into the original equation

• By factoring the original equation again

• By multiplying them by the denominator

• By adding them to the original equation

When solving a rational equation with two different denominators, what should you multiply both sides by?

• The least common denominator

• The greatest common factor

• The sum of the denominators

• The difference of the denominators

What is the correct factoring of 2x^2 - 19x + 44?

• x + 4, 2x - 11

• x - 4, 2x - 11

• x - 4, 2x + 11

• x + 4, 2x + 11

How do you simplify the complex fraction 18/(11/2 + 2) - 1/(11/2 - 3)?

• By multiplying the top and bottom by 2

• By dividing the top and bottom by 2

• By adding 2 to both the numerator and denominator

• By subtracting 2 from both the numerator and denominator