Question

envmath-grade 7-lesson quiz topic 4-4 - copy
4 use the distributive property to expand this expression.
z(-6.4 - 3.5x)
-6.4z - 3.5x
z - 6.4 - 3.5x
-6.4z - 3.5xz
-6.4xz - 3.5xz

Explanation:

Step1: Recall Distributive Property

The distributive property is \(a(b + c)=ab + ac\) (or \(a(b - c)=ab - ac\)). Here, we have \(z(-6.4 - 3.5x)\), so \(a = z\), \(b=-6.4\), \(c = - 3.5x\).

Step2: Apply Distributive Property

Multiply \(z\) with each term inside the parentheses: \(z\times(-6.4)+z\times(-3.5x)\).
Simplify each product: \(-6.4z-3.5xz\).

Answer:

\(-6.4z - 3.5xz\) (corresponding to the second option: \(-6.4z - 3.5xz\))