Given j, left parenthesis, x, right parenthesis, equals, 5, x, minus, 7j(x)=5x−7. Evaluate 4, j, left parenthesis, a, plus, 2, right parenthesis4j(a+2). Simplify your answer.

We are given the function:

\[
j(x) = 5x - 7
\]

We need to evaluate \( 4j(a + 2) \). Let's break it down step by step.

### Step 1: Evaluate \( j(a + 2) \)
Substitute \( x = a + 2 \) into the given function \( j(x) \):

\[
j(a + 2) = 5(a + 2) - 7
\]

Now simplify this expression:

\[
j(a + 2) = 5a + 10 - 7
\]
\[
j(a + 2) = 5a + 3
\]

### Step 2: Evaluate \( 4j(a + 2) \)
Now, multiply \( j(a + 2) \) by 4:

\[
4j(a + 2) = 4(5a + 3)
\]

Distribute the 4:

\[
4j(a + 2) = 20a + 12
\]

Thus, the simplified expression is:

\[
4j(a + 2) = 20a + 12
\]

### Final Answer:
\[
4j(a + 2) = 20a + 12
\]

Would you like any further clarification on the steps or concepts used here?

Here are 5 related questions to expand your understanding:
1. What is the value of \( j(x) \) when \( x = 3 \)?
2. How would you find \( j(x) \) if the function were \( j(x) = 7x - 5 \) instead?
3. Can you solve \( j(x) = 0 \) for \( x \) in the original function?
4. What happens if you evaluate \( j(a - 2) \) instead of \( j(a + 2) \)?
5. If you double the expression \( 4j(a + 2) \), what would the new result be?

**Tip:** When working with functions, always substitute carefully and simplify step by step to avoid mistakes.

Given j(x) = 5x - 7. Evaluate 4j(a + 2). Simplify your answer.

Learn how to evaluate the expression 4j(a + 2) for the linear function j(x) = 5x - 7. This step-by-step solution breaks down function evaluation and the use of the distributive property, suitable for students in Grades 8-10.

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