To solve this expression, let's substitute \( y = 4(4) - \frac{9}{2} \) and evaluate step-by-step:

1. Calculate \( 4(4) \):
   \[
   4 \times 4 = 16
   \]

2. Subtract \( \frac{9}{2} \) from 16:
   \[
   16 - \frac{9}{2} = \frac{32}{2} - \frac{9}{2} = \frac{32 - 9}{2} = \frac{23}{2}
   \]

So,
\[
y = \frac{23}{2}
\]

Or as a decimal:
\[
y = 11.5
\]

**Final Answer:** \( y = \frac{23}{2} \) or \( y = 11.5 \).

Would you like further details on any of the steps, or have any questions?

---

Here are some additional questions you might explore:

1. How would the result change if the multiplier in the expression were 5 instead of 4?
2. How do you handle expressions with different fractions?
3. What would happen if there were parentheses around the entire expression?
4. How would you solve \( y = 4x - 9/2 \) for different values of \( x \)?
5. What steps are involved in converting a mixed number to a fraction?

**Tip:** Always keep track of the order of operations (PEMDAS) to avoid errors in expressions like this one.

Learn how to evaluate the algebraic expression y = 4(4) - 9/2 with a step-by-step solution. This problem explains essential algebraic concepts, including order of operations and fraction subtraction, making it ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation