Isolating Variables and Distributing Expressions

This video tutorial introduces algebra, emphasizing its role in solving mathematical problems and its necessity for higher-level math. It covers the four basic algebraic operations: addition, subtraction, multiplication, and division, explaining how to isolate variables using opposite operations. The tutorial also addresses special cases involving fractions and brackets, demonstrating how to simplify complex algebraic expressions. Key rules include performing the same operation on both sides of an equation to maintain balance.

Why is algebra considered essential for higher mathematics?

• It is not required for higher mathematics.

• It helps solve all sorts of problems.

• It is only useful for basic math.

• It is a series of math tricks.

In the equation X + 4 = 12, what operation should be performed to isolate X?

• Divide both sides by 4.

• Multiply both sides by 4.

• Subtract 4 from both sides.

• Add 4 to both sides.

What is the value of X in the equation X + 4 = 12?

• 16

• 8

• 4

• 12

In the equation X - 4 = 12, what operation should be performed to isolate X?

• Divide both sides by 4.

• Multiply both sides by 4.

• Subtract 4 from both sides.

• Add 4 to both sides.

What is the value of X in the equation X - 4 = 12?

• 16

• 8

• 12

• 4

In the equation 4X = 12, what operation should be performed to isolate X?

• Divide both sides by 4.

• Multiply both sides by 4.

• Subtract 4 from both sides.

• Add 4 to both sides.

What is the value of X in the equation 4X = 12?

• 3

• 4

• 12

• 48

In the equation X/4 = 12, what operation should be performed to isolate X?

• Multiply both sides by 4.

• Subtract 4 from both sides.

• Divide both sides by 4.

• Add 4 to both sides.

What is the value of X in the equation X/4 = 12?

• 3

• 12

• 4

• 48

What is the general rule of algebra for isolating variables?

• Only change the left side of the equation.

• Perform different operations on each side of the equation.

• Only change the right side of the equation.

• Perform the same operation on both sides of the equation.