Distributing and Simplifying Expressions

The video tutorial explains how to simplify algebraic expressions by distributing terms, clearing parentheses, and combining like terms. It covers two examples: the first involves distributing a factor and combining terms, while the second focuses on handling negative factors and simplifying the result. The tutorial emphasizes the importance of understanding the distribution of negative signs and combining like terms to achieve a simplified expression.

What is the first step in simplifying an expression with parentheses?

• Combine like terms

• Distribute the terms

• Multiply all terms

• Add all coefficients

When distributing a negative sign across parentheses, what happens to the terms inside?

• Their signs are reversed

• They are multiplied by zero

• They become positive

• They remain unchanged

What is the result of distributing 4 across the expression (2x - 5y)?

• 2x - 5y

• 4x - 5y

• 8x - 20y

• 8x + 20y

After distributing and combining like terms, what does the expression 4(2x - 5y) - (x - 6y) simplify to?

• 9x - 15y

• 6x - 11y

• 8x - 20y

• 7x - 14y

What is the first step in simplifying the expression -2(2x + 3y)?

• Subtract 2 from each term

• Multiply by zero

• Distribute -2 to each term

• Add 2 to each term

What is the result of distributing -2 across the expression (2x + 3y)?

• -4x - 6y

• 4x + 6y

• 2x + 3y

• -2x - 3y

How do you handle the expression -(4x - 6y) when simplifying?

• Subtract 4x and add 6y

• Add 4x and 6y

• Add 4x and subtract 6y

• Multiply by zero

What is the simplified form of the expression -2(2x + 3y) - (4x - 6y)?

• -8x + 6y

• -4x - 6y

• -8x

• 0

What happens to the y terms in the expression -6y + 6y?

• They add up to 12y

• They remain unchanged

• They cancel each other out

• They become -12y

What is the final result of combining like terms in the expression -4x - 4x?

• 0

• -8x

• 8x

• -4x