Distributive Property and Expression Simplification

The video tutorial covers lesson 18, focusing on rewriting expressions using only addition and practicing the distributive property. It also includes solving a number puzzle and correcting an error in an expression. The teacher provides step-by-step examples and encourages students to try some problems independently.

What is the rule used to rewrite expressions with only addition?

• Subtract the same

• Add the opposite

• Multiply by zero

• Divide by one

How can the expression '4x - 7y - 5z + 6' be rewritten using only addition?

• 4x - 7y - 5z - 6

• 4x + (-7y) + (-5z) + 6

• 4x + 7y - 5z + 6

• 4x + 7y + 5z + 6

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

• Multiply 9 by each term inside the parentheses

• Add all terms inside the parentheses

• Divide each term by 9

• Subtract 9 from each term inside the parentheses

What is the result of multiplying 9 by -2/3?

• 6

• -6

• 3

• -3

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

• 12x - 6y - 2

• -12x + 6y + 2

• 12x + 6y - 2

• -12x - 6y + 2

How can you simplify the expression '1/5(20y - 4x - 13)'?

• 4y + 4x + 13

• 5y - 5x - 13

• 20y - 4x - 13

• 4y - 4/5x - 13/5

What is the simplified form of '12x - 6y + 2'?

• 12x + 6y + 2

• 12x - 6y + 2

• 12x - 6y - 2

• 12x + 6y - 2

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

• He forgot to multiply the entire expression by 5

• He used the wrong numbers

• He added instead of subtracting

• He divided instead of multiplying

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

• x - 10

• x + 10

• 5x + 10

• 5x - 10

If you pick a number and add -2, then multiply by 5, what is the correct expression?

• 5(x - 2)

• x - 10

• 5x + 2

• x + 10