"Distribute" refers to the process of multiplying each term inside the parentheses by the number (or variable) outside the parentheses. In the equation \( 4(z + 5) = 32 \), the number 4 is multiplied by each term inside the parentheses \( (z + 5) \).

Here's how it works:

1. **Original Expression:**
   \[
   4(z + 5)
   \]

2. **Distribute the 4:**
   - Multiply 4 by \( z \): \( 4 \times z = 4z \)
   - Multiply 4 by 5: \( 4 \times 5 = 20 \)

3. **Result after Distribution:**
   \[
   4z + 20
   \]

So, distributing is just about applying multiplication across all terms inside the parentheses.

Does this explanation help? Feel free to ask more questions if you have any!

---

Here are 5 related questions to reinforce this concept:

1. Distribute and simplify: \( 3(x + 4) \).
2. What is the result when you distribute in \( 5(2y + 3) \)?
3. Distribute and solve: \( 2(x - 6) = 10 \).
4. Simplify by distributing: \( 7(z + 2) \).
5. Use distribution: \( 4(a - 1) + 3(a + 2) \).

**Tip:** When distributing, remember that the number outside the parentheses multiplies each term inside the parentheses individually.

Explore the concept of distributing in algebra with clear examples and explanations. Learn how to apply the distributive property to equations like 4(z + 5) = 32, breaking down each step. Suitable for Grades 7-9 students learning algebraic expressions and equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation