Solving Rational Equations: Factoring and Cross Multiplying

What is the first step in solving rational equations by factoring?

• Cross-multiply the equations

• Find the least common denominator

• Set the denominator equal to zero

• Check if the numerator is factorable

Tags

CCSS.HSA.REI.A.2

Why is it important to check your solutions in rational equations?

• To ensure the solution does not make the denominator zero

• To verify the solution is less than zero

• To confirm the solution is a whole number

• To make sure the solution is greater than one

Tags

CCSS.HSA.REI.A.2

What does it mean if a solution is 'in a hole'?

• The solution is undefined

• The solution makes the denominator zero

• The solution is an asymptote

• The solution is valid and does not make the denominator zero

Tags

CCSS.HSA.REI.A.2

What is the correct factorization of x^2 + 5x + 6?

• (x - 2)(x - 3)

• (x + 2)(x + 3)

• x(x + 6) + 5

• x(x + 5) + 6

How do you solve a rational equation by cross-multiplying?

• Multiply diagonally across the equation and solve

• Add the numerators together

• Multiply opposite sides' numerator and denominator

• Multiply denominators by each other

Tags

CCSS.HSA.REI.A.2

What is the result of cross-multiplying 3/(x+1) = 9/(4x+5)?

• 9x + 27 = 12x + 15

• x + 1 = 3(4x + 5)

• 3x + 9 = 4x + 5

• 3(4x+5) = 9(x+1)

Tags

CCSS.HSA.REI.A.2

What is the solution to the equation after cross-multiplying and simplifying 3x - 9 = 12x + 15?

• x = 2

• x = -2

• x = 3

• x = -3

When solving by cross-multiplying, what is the next step after distributing the multiplication?

• Divide both sides by the leading coefficient

• Set the equation to zero

• Factor the equation

• Combine like terms

Tags

CCSS.HSA.REI.A.2

What method should be used if you have two fractions equal to each other?

• Factoring

• Cross-multiplying

• Finding the least common denominator

• Setting denominators equal to zero

Tags

CCSS.HSA.REI.A.2

How do you determine the correct method for solving a rational equation?

• Use factoring by default

• Always use cross-multiplying

• Choose based on the equation's complexity

• Decide based on whether there are single or multiple fractions

Tags

CCSS.HSA.REI.A.2