Simplifying Expressions and Distributing Terms

The video tutorial explains how to simplify algebraic expressions by clearing parentheses and combining like terms. It covers three expressions, demonstrating the distribution of numbers and handling of negative signs. The tutorial emphasizes the importance of combining like terms by adding or subtracting coefficients while keeping the variable part unchanged. Each expression is simplified step-by-step, highlighting the process of distribution and the careful handling of negative numbers.

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

• Subtract all terms

• Add all terms

• Distribute the coefficients

• Combine like terms

When distributing a negative number, what happens to the signs of the terms inside the parentheses?

• They remain the same

• They become positive

• They become negative

• They are doubled

How do you combine like terms in an expression?

• Multiply the coefficients

• Square the coefficients

• Add or subtract the coefficients

• Divide the coefficients

What is the result of simplifying 15x - 1x?

• 16x

• 13x

• 14x

• 15x

In the expression 6c + 5c - 27c, what is the coefficient of the combined like terms?

• 6

• -16

• 27

• 11

What is the simplified form of the expression 11c - 27c + 18?

• -16c + 18

• 16c + 18

• -16c - 18

• 16c - 18

What is the result of distributing -2 in the expression -2(-z - 3)?

• -2z - 6

• 2z + 6

• -2z + 6

• 2z - 6

How do you simplify 2z + 28z?

• 26z

• 30z

• 28z

• 32z

What is the simplified form of the expression 30z - 14?

• 30z + 14

• 30z - 14

• 28z - 14

• 32z - 14

What is the final result of simplifying the expression 2z + 28z - 14?

• 30z + 14

• 30z - 14

• 32z - 14

• 28z - 14