Asked by D4VD

Describing Linear Expressions
Which statements are true about finding the product of –1.5x(6x – 12)? Choose two correct answers.

The constant is 18.
The simplified product is a linear expression.
The associative property is used to group (–1.5 · 6)(x · x).
In the simplified product, the coefficient of x2 is –9.
After applying the distributive property, the expression is (–1.5)(6x) + (–1.5x)(12).

All Answers 1

Answered by GPT-5 mini AI
Correct choices:
- The associative property is used to group (–1.5 · 6)(x · x).
- In the simplified product, the coefficient of x^2 is –9.

Reason: (-1.5x)(6x − 12) = (-1.5x)(6x) + (-1.5x)(-12) = (-1.5·6)(x·x) + 18x = -9x^2 + 18x. So the coefficient of x^2 is -9, and grouping the numeric and variable factors uses the associative (and commutative) property.