Solving Equations with Variables on Both Sides

The video tutorial begins with a review of solving equations, focusing on distributing and isolating variables. It progresses to solving equations with variables on both sides, emphasizing the importance of moving variables to one side. The tutorial includes examples with decimals and negative numbers, providing step-by-step solutions and checks. The lesson concludes with advanced techniques and examples, reinforcing the concepts taught.

What is the first step in solving the equation 4(V - 1) = 16?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Distribute the 4 into V and -1

After distributing 4 in the equation 4(V - 1) = 16, what is the resulting equation?

• 4V + 4 = 16

• -4V - 4 = 16

• 4V - 4 = 16

• -4V + 4 = 16

In the equation 13X - 104 = 39, what is the next step after distributing 13?

• Divide both sides by 13

• Add 104 to both sides

• Subtract 104 from both sides

• Multiply both sides by 13

What is the value of X in the equation 13X - 104 = 39?

• 10

• 11

• 13

• 12

How do you handle decimals in equations like 0.2G + 2.4 = 15?

• Treat them as whole numbers

• Round them to the nearest whole number

• Ignore the decimals

• Convert them to fractions

What is the value of G in the equation 0.2G + 2.4 = 15?

• 63

• 64

• 62

• 60

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

• Divide both sides by the variable

• Subtract the constants

• Move the variables to one side

• Add the variables together

In the equation X + 1 = 2X - 11, what is the next step after moving the variables to one side?

• Subtract 11 from both sides

• Add 11 to both sides

• Subtract 1 from both sides

• Add 1 to both sides

What is the value of X in the equation X + 1 = 2X - 11?

• 13

• 12

• 11

• 10

In the equation 5 + 3A = 2, what is the next step after moving the variables to one side?

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 5 from both sides

• Add 5 to both sides