Solving Equations with Variables

Julie from mahalo.com explains how to solve equations with variables on both sides. The tutorial covers moving variables to one side, balancing the equation by adding or subtracting terms, and solving for the variable by dividing both sides. The video concludes with encouragement to explore further learning resources.

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

• Divide both sides by a constant

• Multiply both sides by a constant

• Move all variables to one side

• Add numbers to both sides

When moving a negative variable to the other side, what operation should you perform?

• Divide the variable

• Subtract the variable

• Multiply the variable

• Add the variable

What is the purpose of adding 3x to both sides of the equation?

• To eliminate the variable

• To balance the equation

• To simplify the equation

• To make the equation more complex

What is the first step in simplifying the equation?

• Move variables to one side

• Multiply both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

What happens to the equation when you add 3x to both sides?

• The 3x on one side cancels out

• The equation becomes unsolvable

• The equation remains unchanged

• The equation becomes more complex

What does the equation look like after canceling out terms?

• x = 0

• x = 8

• x = 15

• x = 1

What is the result of the equation after adding 3x to both sides?

• x = 0

• x = 8

• x = 15

• x = 1

After simplifying the equation, what is the next step?

• Divide both sides by a constant

• Multiply both sides by a constant

• Add a constant to both sides

• Subtract a constant from both sides

What operation is used to isolate the variable in the equation?

• Division

• Subtraction

• Addition

• Multiplication

What is the opposite operation of subtraction in solving equations?

• Addition

• Multiplication

• Division

• Exponentiation