Solving Equations and Operations

The video tutorial explains how to solve an equation by isolating the variable. It begins with an introduction to the concept of solving equations and the importance of making both sides equal. The tutorial then demonstrates how to clear decimals by multiplying both sides of the equation by 10. It proceeds to simplify the equation by distributing and combining like terms. The next steps involve isolating the variable by adding or subtracting terms and finally dividing to solve for the variable. The solution is verified by substituting back into the original equation.

What is the primary goal when solving an equation?

• To make both sides of the equation different

• To find the value of the variable that makes the equation true

• To add more variables to the equation

• To eliminate all numbers from the equation

Why do we multiply both sides of the equation by 10 in this example?

• To simplify the equation by adding fractions

• To make the equation more complex

• To clear the decimals from the equation

• To add more variables

What operation is performed to clear the parentheses in the equation?

• Distribution

• Division

• Subtraction

• Addition

What is the inverse operation of addition?

• Subtraction

• Exponentiation

• Multiplication

• Division

After subtracting 68a from both sides, what does the left side of the equation simplify to?

• 80a

• 16

• 12a - 32

• 0

What is the next step after isolating 12a on the left side?

• Add 32 to both sides

• Multiply both sides by 12

• Divide both sides by 12

• Subtract 32 from both sides

What is the solution to the equation after dividing both sides by 12?

• a = 12

• a = 48

• a = 4

• a = 0

What should be done to verify the solution of the equation?

• Divide the solution by 2

• Add the solution to both sides of the equation

• Substitute the solution back into the original equation

• Multiply the solution by 10

What is the inverse operation of multiplication?

• Division

• Subtraction

• Exponentiation

• Addition

What is the result of 48 divided by 12?

• 5

• 2

• 3

• 4