Solving Equations and Fractions

This video tutorial teaches how to solve two-step equations where the variable is divided by a number. The instructor explains converting terms to fractions, using the distributive property to eliminate fractions, and simplifying the equation to isolate the variable. The solution is verified by plugging it back into the original equation. The video concludes with tips for solving similar problems, emphasizing the importance of inverse operations and balancing equations.

What is the main difference in the two-step equation discussed in the video compared to typical ones?

• The equation is already solved.

• The variable is divided by a number.

• The variable is multiplied by a number.

• The equation has no variables.

Why is it important to convert all terms in the equation to fractions?

• To make the equation unsolvable.

• To eliminate the need for variables.

• To simplify the equation by finding a common denominator.

• To make the equation more complex.

What property is used to eliminate fractions from the equation?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

What is the common denominator used in the video to eliminate fractions?

• 18

• 6

• 3

• 11

After eliminating fractions, what is the next step to solve the equation?

• Multiply both sides by zero.

• Subtract the variable from both sides.

• Add the inverse to isolate the variable.

• Divide both sides by the variable.

How do you verify the solution of the equation?

• By ignoring the solution.

• By multiplying the solution by zero.

• By substituting the solution back into the original equation.

• By guessing the answer.

What is the result when you substitute the solution back into the original equation?

• The variable disappears.

• The equation becomes more complex.

• The left side equals the right side.

• The equation becomes unsolvable.

What should you do if you encounter a division under the variable in an equation?

• Panic and give up.

• Ignore the division.

• Use inverse operations to solve it.

• Multiply everything by zero.

What is the final value of y in the solved equation?

• 48

• -48

• -11

• 11

What is the purpose of checking your work after solving an equation?

• To ignore the solution.

• To change the solution.

• To ensure the solution is correct.

• To make the equation more complex.