Distributing and Simplifying Expressions

The video tutorial explains how to simplify algebraic expressions by distributing and combining like terms. It covers two examples: the first involves distributing positive and negative numbers to clear parentheses and combining like terms to simplify the expression to 5x + 61. The second example demonstrates distributing negative numbers and dropping parentheses to simplify the expression to -x - 14. The tutorial emphasizes understanding the distribution process and combining like terms to achieve the final simplified expressions.

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

• Factor the expression

• Add constants

• Distribute the terms

• Combine like terms

When distributing 7 in the expression 7(x + 7), what is the result?

• 7x + 49

• 7x + 42

• 7x + 14

• 7x + 7

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

• 2x + 12

• 2x - 12

• -2x + 12

• -2x - 12

After distributing, what is the simplified form of 7x - 2x?

• 7x

• 5x

• 9x

• 3x

What is the final simplified form of the expression 7(x + 7) - 2(x - 6)?

• 5x + 61

• 5x + 49

• 5x + 12

• 5x + 42

In the expression -2(x + 4) + (x - 6), what is the first step?

• Factor the expression

• Add constants

• Distribute -2

• Combine like terms

What happens when you distribute -2 in the expression -2(x + 4)?

• 2x + 8

• 2x - 8

• -2x + 8

• -2x - 8

What is the result of combining -2x and x in the expression -2x + x?

• x

• 2x

• -x

• 0

What is the result of combining -8 and -6 in the expression -8 - 6?

• 2

• 14

• -2

• -14

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

• -x - 14

• x - 14

• -x + 14

• x + 14