Let's solve the quadratic expression \( 6y^2 - 7y + 9 \) when \( y = 4 \).

We substitute \( y = 4 \) into the expression:

\[
6(4)^2 - 7(4) + 9
\]

1. First, calculate \( 4^2 \):

\[
4^2 = 16
\]

2. Now, substitute \( 16 \) into the equation:

\[
6(16) - 7(4) + 9
\]

3. Multiply the terms:

\[
6 \times 16 = 96
\]
\[
7 \times 4 = 28
\]

4. Substitute these into the equation:

\[
96 - 28 + 9
\]

5. Finally, perform the addition and subtraction:

\[
96 - 28 = 68
\]
\[
68 + 9 = 77
\]

Thus, the value of \( 6y^2 - 7y + 9 \) when \( y = 4 \) is **77**.

Would you like more details on this, or do you have any other questions?

Here are 5 related questions to consider:
1. How do you solve a quadratic equation for different values of \( y \)?
2. How would the solution change if the coefficient of \( y^2 \) was different?
3. Can we solve this expression by factoring?
4. How do quadratic expressions behave when graphed?
5. What is the significance of the discriminant in quadratic equations?

**Tip:** When dealing with quadratics, always check if you can factor the equation before solving it through substitution.

Solve the quadratic expression 6y^2 − 7y + 9 when y = 4

Learn how to solve the quadratic expression 6y^2 − 7y + 9 by substituting y = 4. This step-by-step guide walks through key algebraic concepts, covering substitution in quadratic expressions. Suitable for students in Grades 7-9.

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