Question

Directions: Use the mathematical properties to write the expression given as an equivalent expression in simplest form: 6(2 - 3X) + 1

i) Identify one property that can be used when simplifying this expression.

ii) Explain why this property is correct.

Answer 1

The distributive property is used to simplify the expression and the final equivalent expression is 13 - 18X.

Step-by-step explanation:

The property that can be used to simplify the expression 6(2 - 3X) + 1 is the distributive property. According to this property, when we have a number or variable multiplied by a sum or difference within parentheses, we can distribute the multiplication to each term inside the parentheses.

In this case, we can distribute the 6 to both 2 and -3X:

6 * 2 - 6 * 3X + 1

Which simplifies to:

12 - 18X + 1

Adding like terms, we get the final equivalent expression in simplest form:

13 - 18X