Understanding Equations with Infinite Solutions

In this lesson, Elena begins solving an equation and stops midway, claiming the equation is true for all values of x. The video explains why the equation has infinite solutions and guides students to understand this concept.

What was Elena's initial approach to solving the equation?

• She simplified both sides of the equation.

• She substituted values for x.

• She used a calculator to find x.

• She graphed the equation.

At what point did Elena realize the equation is true for all x?

• When she checked multiple values of x.

• When she couldn't simplify the equation further.

• When she noticed both sides of the equation were identical.

• When she found a specific value for x.

Why can an equation be true for all values of x?

• Because it has no solution.

• Because both sides of the equation are equivalent.

• Because it is a quadratic equation.

• Because it has a unique solution.

What does it mean for an equation to have infinite solutions?

• It has no solution.

• It has one solution.

• It is a quadratic equation.

• It is true for all values of x.

How can you verify if an equation has infinite solutions?

• By graphing the equation.

• By solving for x and finding a specific value.

• By checking if the equation is quadratic.

• By simplifying the equation to see if both sides are identical.