Solving Rational Equations in Algebra 2

What is the first step in solving rational equations as described in the video?

• Cross-multiply

• Add fractions

• Subtract fractions

• Isolate the variable

In the first example, what is the value of x after solving the equation 3(x + 7) = 10x?

• x = 4

• x = 2

• x = 3

• x = 5

Why is it important to check if the solution makes any denominator zero?

• To verify the solution

• To simplify the equation

• To cross-multiply

• To find the roots

In the second example, what is the equation after cross-multiplying -4(x - 3) = 5(x + 3)?

• 4x + 12 = -5x - 15

• 4x - 12 = -5x + 15

• -4x - 12 = 5x - 15

• -4x + 12 = 5x + 15

What is the value of x in the second example after solving the equation?

• x = 1/2

• x = -1/2

• x = -1/3

• x = 1/3

In the third example, what type of equation is formed after cross-multiplying?

• Exponential equation

• Cubic equation

• Quadratic equation

• Linear equation

What are the roots of the quadratic equation x^2 - 3x - 4 = 0?

• x = -3 and x = 4

• x = 3 and x = -4

• x = -4 and x = 1

• x = 4 and x = -1

What is the value of 4 times 13 in the verification process?

• 50

• 51

• 53

• 52

What is the result of -1 times 3 in the verification process?

• -2

• -5

• -4

• -3

Why is it important to verify the solutions in the third example?

• To find the roots

• To simplify the equation

• To cross-multiply

• To ensure the solutions are correct