Simplifying Expressions and Distributive Property

The video tutorial covers lesson 18, focusing on rewriting expressions using only addition by applying the 'add the opposite' rule. It includes practice problems on the distributive property and an analysis of a number puzzle to identify and correct errors in expressions. The tutorial emphasizes understanding equivalent expressions and the correct application of mathematical rules.

What is the main goal when rewriting expressions using only addition?

• To simplify the expression

• To use only positive numbers

• To replace subtraction with addition of opposites

• To eliminate all variables

In the expression 4x - 7y - 5z + 6, how would you rewrite -7y using only addition?

• -7y

• +7y

• +(-7y)

• 7y

What is the first step in applying the distributive property to the expression 9(4x - 3y - 2/3)?

• Multiply 9 by each term inside the parentheses

• Divide each term by 9

• Add all terms inside the parentheses

• Subtract 3y from 4x

How do you simplify the expression 9 times 2/3?

• 3

• 12

• 6

• 9

What is the result of multiplying -2 by -6x in the expression -2(-6x + 3y - 1)?

• 6x

• -12x

• 12x

• -6x

In the expression 1/5(20y - 4x - 13), what is 1/5 of 20y?

• 20y

• 5y

• 4y

• 1y

What mistake did Kieran make in his expression x - 10 for the number puzzle?

• He used subtraction instead of addition

• He did not multiply the entire expression by 5

• He used the wrong variable

• He forgot to add 10

If x = 10, what should the expression 5(x - 2) equal according to the corrected number puzzle?

• 0

• 40

• 10

• 50

What is the correct expression for Kieran's number puzzle after correction?

• x - 10

• 5x - 10

• x + 10

• 5(x - 2)

What is the final result of the expression 5 times 10 minus 10?

• 0

• 50

• 40

• 10