Solving Equations with Variables on Both Sides

The video tutorial covers solving equations with variables on both sides. It begins with an introduction and objectives, followed by detailed steps for solving multi-step equations. Several examples are provided, demonstrating how to handle variables, constants, and distribution in equations. The tutorial emphasizes starting with the variable with the smaller coefficient to simplify calculations and maintain positivity.

What is the first step in solving equations with variables on both sides?

• Combine like terms

• Distribute if necessary

• Move constants to one side

• Subtract variables

Why is it beneficial to start with the variable with the smaller coefficient?

• It makes calculations faster

• It reduces the number of steps

• It minimizes negative coefficients

• It simplifies the equation

In the equation 7K = 3K - 36, what is the first step to solve for K?

• Multiply by 3

• Divide by 7

• Subtract 3K from both sides

• Add 36 to both sides

When solving equations with distribution, what should you do first?

• Move variables to one side

• Combine like terms

• Add constants

• Distribute the number outside the parentheses

In the equation 3(6P - 1) = 11P - 45, what is the result after distributing?

• 18P - 3

• 6P + 3

• 18P + 3

• 6P - 3

What is the next step after distributing in the equation 9(m - 3) = 7m + 43?

• Divide by 9

• Subtract 7m from both sides

• Combine like terms

• Add 3 to both sides

In the equation 5x - x + 18 = 6 - 2x, what should you do after combining like terms?

• Multiply by 2

• Subtract 18 from both sides

• Add 2x to both sides

• Divide by 5

What is the result of combining like terms in the equation 9m + 3m - 27 = 7m + 43?

• 12m - 27

• 6m + 27

• 6m - 27

• 12m + 27

In the equation 5x - x + 18 = 6 - 2x, what is the final value of x?

• 6

• -6

• 7

• -7

What is the purpose of distributing in equations with parentheses?

• To eliminate fractions

• To simplify the equation

• To combine like terms

• To isolate the variable