Understanding Rational Equations

What is the first step in solving rational equations using the properties of proportions?

• Add the fractions

• Cross-multiply the fractions

• Divide the fractions

• Subtract the fractions

When solving a quadratic equation by factoring, what should you do after setting the equation to zero?

• Factor the quadratic expression

• Multiply both sides by 2

• Add 20 to both sides

• Divide by the highest coefficient

What is the solution set for the equation x^2 - 8x - 20 = 0?

• {0, 20}

• {5, 4}

• {8, -20}

• {10, -2}

What is the least common denominator used in the second method for the first example?

• 4x

• 5x

• 8x

• 10x

How do you eliminate fractions in the second method?

• By adding the fractions

• By dividing by the largest fraction

• By multiplying by the least common denominator

• By subtracting the fractions

What is the first step in solving equations with more than two fractions using proportions?

• Combine fractions on one side

• Multiply all fractions by 2

• Add a constant to both sides

• Divide by the smallest fraction

In the example with more than two fractions, what is the common denominator used?

• 10

• 5

• 4

• 8

What is the result of solving the equation -8x = 8?

• x = 2

• x = -1

• x = 1

• x = 0

What is the final step in solving a rational equation using the second method?

• Subtract the fractions

• Add the fractions

• Divide by the coefficient of x

• Cross-multiply

What should you ensure when solving rational equations to avoid incorrect solutions?

• Divide by the smallest number

• Multiply by zero

• Always add a constant

• Check for extraneous solutions