Distributing Expressions and Simplifying

The video tutorial explains how to simplify algebraic expressions by distributing and combining like terms. It covers three examples: one involving subtraction, another with addition, and the last with subtraction again. The process involves distributing a constant across terms within parentheses and then combining like terms to simplify the expression. The tutorial emphasizes the equivalence of different forms of the simplified expression.

What is the first step in simplifying the expression 2 - 3(6x - 7)?

• Combine like terms

• Distribute the negative three

• Add two to both sides

• Factor out the common terms

When distributing -3 in the expression 2 - 3(6x - 7), what is the result of -3 times 6x?

• 21

• -18x

• 18x

• -21

What is the simplified form of the expression 23 - 18x?

• 23 + 18x

• -18x + 23

• -23 + 18x

• 18x + 23

In the expression 9 + 2(6x - 4), what is the result of distributing 2 to 6x?

• 8x

• 10x

• 12x

• 14x

What is the simplified form of the expression 9 - 8?

• 3

• 2

• 1

• 0

What is the result of distributing 2 to -4 in the expression 9 + 2(6x - 4)?

• -8

• 8

• -4

• 4

What is the equivalent expression of 12x + 1?

• 12x - 1

• -12x + 1

• 1 + 12x

• -1 + 12x

What is the result of distributing -1 to 4x in the expression -3 - (4x + 7)?

• 7

• -7

• -4x

• 4x

What is the simplified form of the expression -3 - 7?

• 4

• -4

• 10

• -10

What is the final simplified form of the expression -10 - 4x?

• -4x + 10

• -4x - 10

• 4x - 10

• -10 + 4x