Evaluate the expression: ab + 2b - 3a where a = 8 and b = 4.
Understand the Problem
The question is asking us to evaluate the expression 'ab + 2b - 3a' using the values a = 8 and b = 4. We will substitute these values into the expression and perform the calculations.
Answer
The evaluated expression results in $16$.
Answer for screen readers
The final answer is $16$.
Steps to Solve
- Substitute the values of a and b
We start by substituting $a = 8$ and $b = 4$ into the expression $ab + 2b - 3a$.
- Calculate the product ab
Now, calculate $ab$: $$ ab = 8 \times 4 = 32 $$
- Calculate the term 2b
Next, calculate $2b$: $$ 2b = 2 \times 4 = 8 $$
- Calculate the term -3a
Now, calculate $-3a$: $$ -3a = -3 \times 8 = -24 $$
- Combine all parts
Finally, combine the results: $$ 32 + 8 - 24 = 16 $$
The final answer is $16$.
More Information
The evaluated expression represents a linear combination of variables where the result shows how changes in the variables affect the outcome. Here, $16$ is the result when substituting the specified values into the expression.
Tips
- Forgetting to multiply correctly when substituting values. Always double-check multiplication.
- Not combining like terms properly. Make sure to add and subtract correctly.
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