Evaluate the expression -9c + b when b = 3 and c = -2.
Understand the Problem
The question is asking to evaluate the expression -9c + b by substituting the given values of b and c, which are 3 and -2, respectively.
Answer
The evaluated expression yields $21$.
Answer for screen readers
The final answer is $21$.
Steps to Solve
- Substituting the values
We need to replace $b$ with 3 and $c$ with -2 in the expression $-9c + b$.
Substituting gives: $$ -9(-2) + 3 $$
- Calculating the product
Next, calculate the product $-9(-2)$: $$ -9 \times -2 = 18 $$
- Adding the values
Now add the result from step 2 to $b$: $$ 18 + 3 $$
- Final calculation
Now perform the final addition: $$ 18 + 3 = 21 $$
The final answer is $21$.
More Information
This expression shows how to combine multiplication and addition. When substituting negative values, multiplication affects the sign, which is an important concept in evaluating expressions.
Tips
- Incorrectly handling the negative signs: Double-check to ensure that negative signs are managed correctly, as multiplying two negatives gives a positive.
- Forgetting to substitute before calculating: Make sure to replace the variables with their values before performing the calculations.
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