Solving Equations with Fractions

This video tutorial explains how to solve the equation 1/5X - 3 = 4. It begins with an introduction to the concept of equations and the goal of isolating the variable. The tutorial then demonstrates how to eliminate constants by performing opposite operations, such as adding to counteract subtraction. Next, it shows how to isolate the variable X by multiplying by the reciprocal. The solution is verified by substituting back into the original equation. The video concludes with a call to action to subscribe for more math and science content.

What is the primary goal when solving an equation?

• To eliminate all numbers

• To add more variables

• To make both sides of the equation different

• To find the value of the variable

What operation should be performed to eliminate a subtraction in an equation?

• Subtraction

• Multiplication

• Division

• Addition

When you add a number to one side of an equation, what must you do to the other side?

• Subtract the same number

• Add a different number

• Add the same number

• Multiply by the same number

How do you isolate a variable that is multiplied by a fraction?

• Subtract the fraction from both sides

• Add the fraction to both sides

• Multiply by the reciprocal of the fraction

• Divide by the fraction

What is the reciprocal of 1/5?

• 1/5

• 1

• 0.2

• 5

What is the result of multiplying 7 by 5?

• 12

• 35

• 25

• 30

How can you verify if your solution to an equation is correct?

• By guessing

• By substituting the solution back into the original equation

• By asking a friend

• By checking a calculator

What is the result of 35 divided by 5?

• 6

• 7

• 8

• 5

What is the final value of x in the equation 1/5x - 3 = 4?

• 35

• 30

• 25

• 40

What should you do after solving an equation to ensure your answer is correct?

• Circle the answer

• Check the answer by substitution

• Write a new equation

• Ignore the solution