Mastering Rational Equations in Algebra II

Why can't x be equal to 0 in the given equation?

• Because it would make the solution positive.

• Because it would make the solution negative.

• Because it would make the expressions undefined.

• Because it would make the equation too complex.

What is the first step suggested to solve the equation?

• Subtract fractions on both sides.

• Add fractions on both sides.

• Multiply both sides by 18.

• Rewrite the equation with more space.

What is the least common multiple of 2x, 3x, and 18?

• 36x

• 18x

• 72x

• 54x

What happens to the term 5 over 2x when multiplied by 18x?

• It becomes 15.

• It becomes 90.

• It becomes 45.

• It becomes 30.

What is the simplified form of the equation after clearing the denominators?

• 45 - 24 = 14x

• 45 + 24 = 14x

• 45 + 24 = 7x

• 45 - 24 = 7x

What is the value of x after solving the simplified equation?

• x = 3

• x = 2

• x = 5

• x = 4

What is 5 over 2 times 3 simplified to?

• 5/12

• 5/9

• 5/6

• 5/3

What is 4 over 3 times 3 simplified to?

• 4/3

• 4/6

• 4/9

• 4/12

What is the least common multiple of 6 and 9?

• 12

• 15

• 18

• 21

What is the final verification step to ensure the solution is correct?

• Check if the solution is negative.

• Check if the solution is positive.

• Check if the left side equals the right side.

• Check if the solution is zero.