Distributing and Combining Like Terms

The video tutorial explains how to simplify algebraic expressions by distributing terms and combining like terms. It covers two examples: the first involves distributing a positive number and the second involves distributing a negative number. The tutorial emphasizes the importance of treating subtraction as adding a negative and provides step-by-step guidance to simplify each expression.

What is the first step in simplifying the expression -3x + 9(5x - 2)?

• Add 9 to both sides

• Combine like terms

• Factor out the common terms

• Distribute the 9

After distributing 9 in the expression -3x + 9(5x - 2), what is the resulting expression?

• -3x + 45x + 18

• -3x - 45x - 18

• -3x + 45x - 18

• -3x - 45x + 18

What is the simplified form of the expression -3x + 45x - 18?

• -42x + 18

• 42x - 18

• 42x + 18

• -42x - 18

In the expression 6x - 5(2x - 3), what should be done first?

• Combine like terms

• Add 5 to both sides

• Distribute the -5

• Factor out the common terms

What is the result of distributing -5 in the expression 6x - 5(2x - 3)?

• 6x - 10x + 15

• 6x + 10x - 15

• 6x - 10x - 15

• 6x + 10x + 15

What is the simplified form of the expression 6x - 10x + 15?

• 4x - 15

• -4x + 15

• 4x + 15

• -4x - 15

What is the purpose of distributing in algebraic expressions?

• To eliminate fractions

• To clear parentheses

• To solve equations

• To factor expressions

Why is it important to combine like terms after distributing?

• To simplify the expression

• To make the expression more complex

• To change the variables

• To increase the number of terms