Simplifying Algebraic Expressions: Key Concepts and Techniques

The video tutorial covers simplifying algebraic expressions, focusing on handling negative signs and using the distributive property. It explains how to combine like terms and manage complex expressions with grouping symbols. The tutorial provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of algebraic simplification techniques.

What is the opposite of 8x?

• -4x

• 8x

• 4x

• -8x

How do you simplify the expression - (7x - 3)?

• 7x + 3

• -7x - 3

• 7x - 3

• -7x + 3

What is the result of 4y - (2y + 5)?

• 2y + 5

• 2y - 5

• 2y + 10

• 6y - 5

Simplify the expression 3a + 2a - 4a + 7.

• 5a + 7

• 1a + 7

• 5a - 7

• 1a - 7

What is the result of distributing 2 through the binomial (3x + 4)?

• 6x + 4

• 3x + 8

• 6x + 8

• 3x + 4

Combine the like terms: 6x + 10x.

• 16x

• 0x

• 6x

• 10x

What is the simplified form of 6a - 5a?

• 0a

• -1a

• 1a

• 11a

How do you handle the expression -5(2b + a)?

• -10b - 5a

• 10b - 5a

• -10b + 5a

• 10b + 5a

What is the result of distributing 6 through the expression (x + 4)?

• 6x + 4

• 6x + 4x

• 6x + 24

• x + 24

Combine the like terms: 6x - 5x.

• 11x

• 1x

• 0x

• -1x