What is the value of the expression below when y, equals, 2y=2?
9, y, squared, plus, 6, y, minus, 5
9y 
2
 +6y−5

To find the value of the expression \( 9y^2 + 6y - 5 \) when \( y = 2 \), we substitute \( y = 2 \) into the expression:

\[
9(2)^2 + 6(2) - 5
\]

1. First, calculate \( 9(2)^2 \):
   \[
   9 \times 4 = 36
   \]

2. Next, calculate \( 6(2) \):
   \[
   6 \times 2 = 12
   \]

3. Now substitute these values back into the expression:
   \[
   36 + 12 - 5
   \]

4. Simplify the expression:
   \[
   36 + 12 = 48
   \]
   \[
   48 - 5 = 43
   \]

So, the value of the expression is \( 43 \).

Would you like further details or explanations?

Here are 5 related questions you might want to explore:
1. What is the general form of a quadratic expression?
2. How do you factor a quadratic equation like \( 9y^2 + 6y - 5 \)?
3. What is the discriminant, and how is it used in quadratic equations?
4. How can you graph the expression \( 9y^2 + 6y - 5 \)?
5. What happens to the expression if \( y = -2 \) instead of \( y = 2 \)?

**Tip**: Always follow the order of operations (PEMDAS) when evaluating expressions: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What is the value of the expression below when y = 2? 9y^2 + 6y - 5

Learn how to find the value of the quadratic expression 9y^2 + 6y - 5 by substituting y = 2. This problem involves key algebraic concepts such as substitution and simplifying expressions. Perfect for students in Grades 7-9.

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