Question
i-Ready Practice: Numeric and Algebraic Expressions - Practice - Level F Evaluate \( 3+(a+4)(8-b) \) when \( a=5 \) and \( b=6 \). First, evaluate inside the parentheses. \[ \begin{aligned} 3+(a+4)(8-b) & =3+(5+4)(8-6) \\ & =3+(\square)(\square) \end{aligned} \]
Ask by Ray Osborne. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 21 \)
Solution
Sure, let's continue evaluating the expression step by step.
Given the expression:
\[
3 + (a + 4)(8 - b)
\]
with \( a = 5 \) and \( b = 6 \).
**Step 1: Substitute the values of \( a \) and \( b \) into the expression.**
\[
3 + (5 + 4)(8 - 6)
\]
**Step 2: Simplify inside the parentheses.**
\[
3 + (\boxed{9})(\boxed{2})
\]
**Step 3: Multiply the numbers inside the boxes.**
\[
3 + 18
\]
**Step 4: Add the remaining numbers.**
\[
21
\]
**Final Answer:** \( 21 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
First, evaluate the expressions inside the parentheses: \[ (5+4) = 9 \quad \text{and} \quad (8-6) = 2 \] Now, you can replace the squares with these values: \[ 3+(9)(2) = 3+(18) \] Now, simply add the numbers together: \[ 3 + 18 = 21 \] So, the final answer is \( 21 \).
