Learn how to simplify the expression by applying distributive property twice, 3(y-6)-(y+7)

The video tutorial explains the use of parentheses in mathematical expressions, focusing on multiplication and the distributive property. It covers the concept of variables raised to the zero power and how numbers can be multiplied by one without changing their value. The tutorial demonstrates applying the distributive property, especially with negative numbers, and guides students through simplifying expressions by rearranging and combining like terms.

What is the result of multiplying any number by one?

• The number minus one

• The number plus one

• Zero

• The number itself

How can the number 8 be represented in a more complex form?

• As 8 times 0

• As 8 times 1

• As 8 plus 1

• As 8 minus 1

What is the first step in applying the distributive property to the expression 3 * (Y - 6)?

• Subtract 6 from Y

• Divide Y by 3

• Multiply 3 by Y and 3 by -6

• Add 6 to Y

When rearranging terms in an expression, what must be kept consistent?

• The order of terms

• The signs of the terms

• The variables used

• The coefficients of the terms

What is the simplified form of the expression 3Y - Y - 18 - 7?

• 4Y - 11

• 2Y - 11

• 4Y - 25

• 2Y - 25