Math Problem Statement

Use the distributive property to write an equivalent expression: 6(4y + 7z)

Solution

The expression given is 6(4y+7z)6(4y + 7z).

To apply the distributive property, multiply 6 by both terms inside the parentheses:

6×4y+6×7z=24y+42z6 \times 4y + 6 \times 7z = 24y + 42z

Thus, the equivalent expression is 24y+42z24y + 42z.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How can the distributive property be used in reverse to factor expressions?
  2. What happens if there are more than two terms inside the parentheses?
  3. Can the distributive property be used with variables outside the parentheses?
  4. How do you use the distributive property when dealing with negative numbers?
  5. How does the distributive property apply when fractions are involved?

Tip: The distributive property helps simplify expressions by "distributing" the multiplication across addition or subtraction inside parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8