Tutorial lesson for solving a rational expression by multiplying by the LCD

The video tutorial explains how to solve equations by eliminating fractions, finding the least common denominator, and applying the distributive property. It further demonstrates solving quadratic equations through factoring and emphasizes checking solutions for validity and understanding restrictions.

What is the first step in solving the equation +3 = X/4?

• Add 3 to both sides

• Determine the least common denominator

• Subtract 3 from both sides

• Divide both sides by 4

After multiplying by the LCD, what type of equation do we obtain?

• Quadratic equation

• Linear equation

• Exponential equation

• Cubic equation

What property is used to expand the equation 28 = X * (X + 3)?

• Distributive property

• Associative property

• Commutative property

• Identity property

Which pair of numbers multiplies to -28 and adds to 3?

• 14 and -2

• -7 and 4

• 7 and -4

• -14 and 2

Why must we check the solutions against the original equation?

• To make sure they are even numbers

• To verify they are not extraneous

• To ensure they are positive

• To confirm they are integers