Solving Equations with Variables on Both Sides

This video tutorial covers solving equations with variables on both sides. It introduces the SAD MEEP and PEMDAS techniques for simplifying equations and provides tips for keeping coefficients positive. The tutorial includes step-by-step solutions to example problems, addresses advanced problem-solving techniques, and discusses special cases like no solution and identity. Students are encouraged to practice on their own and check their solutions.

What does the first 'S' in SADMEP stand for?

• Subtract

• Sum

• Simplify

• Solve

Why is it suggested to keep coefficients positive?

• To avoid negative numbers

• To ensure accuracy

• To make the equation more complex

• To simplify the equation

What is the result of dividing 3 by 18 in the example provided?

• 18/3

• 6

• 3

• 1/6

When solving equations with variables on both sides, what is the purpose of combining like terms?

• To introduce new variables

• To increase the number of terms

• To simplify the equation

• To find the value of the variable

How do you check if your solution to an equation is correct?

• By simplifying the equation

• By substituting the solution back into the original equation

• By converting the equation to a fraction

• By adding coefficients

In the context of the lesson, what does distributing involve?

• Dividing both sides by a common factor

• Combining like terms

• Applying the distributive property

• Multiplying both sides by a common factor

What is the first step in solving an equation involving a fraction?

• Multiply both sides by the denominator

• Divide both sides by the numerator

• Subtract the numerator from both sides

• Add the denominator to both sides

How can you remove a fraction from an equation?

• By multiplying both sides by the denominator

• By adding the numerator

• By dividing both sides by the numerator

• By subtracting the denominator

What does an equation with no solution mean?

• The variables cancel out leaving a true statement

• Any value of the variable is a solution

• There is exactly one solution

• No value of the variable can make the equation true

What is an identity in the context of equations with variables on both sides?

• An equation with no solution

• An equation where all variables cancel out leaving a false statement

• An equation where all variables cancel out leaving a true statement

• An equation that cannot be simplified