Evaluate the expression when y = 6: y² + 7y - 6.
Understand the Problem
The question is asking to evaluate the mathematical expression y² + 7y - 6 given that y = 6. The calculation involves substituting y with 6 in the expression and simplifying it.
Answer
The evaluated expression when $y = 6$ is $72$.
Answer for screen readers
The final evaluation of the expression is $72$.
Steps to Solve
- Substitution of the variable
Substitute $y$ with 6 in the expression $y^2 + 7y - 6$:
$$6^2 + 7(6) - 6$$
- Calculating the square term
Calculate $6^2$:
$$6^2 = 36$$
So, the expression becomes:
$$36 + 7(6) - 6$$
- Calculating the multiplication
Next, calculate $7(6)$:
$$7(6) = 42$$
Now, the expression is:
$$36 + 42 - 6$$
- Performing the addition and subtraction
Add $36$ and $42$, then subtract $6$:
$$36 + 42 = 78$$
Then, subtract $6$:
$$78 - 6 = 72$$
The final evaluation of the expression is $72$.
More Information
This evaluation shows how to substitute a value into an algebraic expression and simplify it step by step. Knowing how to substitute and perform operations is crucial in algebra.
Tips
- Forgetting to square the number when calculating $y^2$.
- Miscalculating the multiplication or the addition/subtraction steps. Always double-check each calculation.
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