Solving One Step Equations with Reciprocals

The video tutorial explains the importance of understanding different methods to solve equations involving fractions. It covers two main methods: using inverse operations and rewriting the equation as a two-step problem. The tutorial also introduces a quick method using reciprocal multiplication. The instructor emphasizes the value of understanding these methods for better comprehension and future application.

Why does the teacher emphasize understanding the reason behind solving the problem?

• To make the lesson longer

• To avoid teaching the quick method

• To ensure a deeper understanding of the concepts

• To confuse the students

What is the first step in solving the equation 2/3 Q = 18 using inverse operations?

• Subtract 2/3 from both sides

• Add 2/3 to both sides

• Divide both sides by 2/3

• Multiply both sides by 2/3

When dividing by a fraction, what operation can be used instead?

• Dividing by the reciprocal

• Adding the fraction

• Subtracting the fraction

• Multiplying by the reciprocal

What is the result of 18 divided by 2/3?

• 54

• 36

• 27

• 12

How can the equation 2/3 Q = 18 be rewritten to make it a two-step equation?

• Q / 2/3 = 18

• 2 Q / 3 = 18

• 3 Q / 2 = 18

• Q / 3 = 18

In the two-step method, what is the first operation performed on 2 Q / 3 = 18?

• Add 3

• Subtract 2

• Multiply by 3

• Divide by 2

What is the quick method for solving a fraction times a number equals another number?

• Add the fraction

• Subtract the fraction

• Multiply by the reciprocal

• Divide by the reciprocal

Why do we multiply by the reciprocal in the quick method?

• To make the equation longer

• To cancel out the fraction

• To add more steps

• To confuse the students

What is the final value of Q in the equation 2/3 Q = 18?

• 27

• 18

• 36

• 24

What is the main takeaway from the lesson?

• Avoid using fractions in equations

• Quick methods are not useful

• Understanding the reason behind methods is crucial

• Always use the long method