Isolating Variables in Equations

The video tutorial covers solving one-step equations, focusing on isolating variables using opposite operations. It begins with an example of solving x - 27 = 32 by adding 27 to both sides. The tutorial outlines steps to locate and isolate variables, emphasizing balance in equations. It demonstrates solving k / 8 = 2 by multiplying both sides by 8 and solving 3 + G = 16 by subtracting 3 from both sides. The tutorial uses a metaphor of a border to illustrate maintaining balance in equations.

What is the first step in solving the equation x - 27 = 32?

• Multiply both sides by 32

• Add 32 to both sides

• Subtract 27 from both sides

• Add 27 to both sides

Why is it important to perform the same operation on both sides of an equation?

• To maintain balance and equality

• To make the equation more complex

• To eliminate the variable

• To simplify the equation

What is the final value of x in the equation x - 27 = 32?

• x = 59

• x = 5

• x = 27

• x = 32

What is the purpose of isolating the variable in an equation?

• To eliminate the variable

• To make the equation longer

• To find the value of the variable

• To add more variables

In the equation k / 8 = 2, what operation is used to isolate k?

• Division

• Addition

• Subtraction

• Multiplication

What is the result of multiplying both sides of the equation k / 8 = 2 by 8?

• k = 1

• k = 16

• k = 2

• k = 8

What is the opposite operation of division?

• Division

• Multiplication

• Subtraction

• Addition

In the equation 3 + G = 16, what operation is used to isolate G?

• Subtraction

• Addition

• Multiplication

• Division

What is the value of G in the equation 3 + G = 16 after isolating the variable?

• G = 16

• G = 3

• G = 13

• G = 19

What is the opposite operation of addition?

• Division

• Multiplication

• Addition

• Subtraction