Mastering Distribution and Combining Like Terms

The video tutorial explains how to simplify algebraic expressions by clearing parentheses and combining like terms. It covers distributing numbers across terms within parentheses, handling subtraction carefully, and combining terms with the same variables. The tutorial provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of the simplification process.

What is the first step in simplifying an expression?

• Adding coefficients

• Subtracting variables

• Clearing the parentheses

• Combining like terms

What is the result of distributing 5 in the expression 5(3x - 6y)?

• 5x - 6y

• 15x + 30y

• 15x - 30y

• 3x - 6y

How do you handle subtraction when clearing parentheses?

• Add the terms inside the parentheses

• Distribute a negative one

• Multiply the terms inside the parentheses

• Ignore the subtraction

What is the simplified form of 15x - 1x?

• 14x

• 13x

• 15x

• 16x

What is the result of combining -30y and 2y?

• -28y

• 28y

• 32y

• -32y

What should you be careful about when clearing parentheses in the second expression?

• Multiplying the terms

• Distributing a negative number

• Ignoring the parentheses

• Adding the terms

What is the simplified form of 6c + 5c - 27c?

• -11c

• 16c

• 11c

• -16c

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

• -2z - 6

• 2z + 6

• -2z + 6

• 2z - 6

What is the simplified form of 2z + 28z?

• 32z

• 28z

• 26z

• 30z

What is the final simplified form of the expression 2z + 28z + 6 - 20?

• 30z - 14

• 30z + 14

• 28z + 14

• 28z - 14