The image shows a math worksheet focused on evaluating algebraic expressions by substituting values for variables and simplifying the result. Let's break down the problem step by step:
Problem:
Evaluate the expression \( 7y - 6b + 8 \) for \( y = 3 \) and \( b = 2 \).
Solution:
1.
Substitute the given values into the expression:
- The expression is \( 7y - 6b + 8 \).
- Substitute \( y = 3 \) and \( b = 2 \):
\[
7(3) - 6(2) + 8
\]
2.
Perform the multiplications:
- Calculate \( 7 \times 3 \):
\[
7 \times 3 = 21
\]
- Calculate \( 6 \times 2 \):
\[
6 \times 2 = 12
\]
- Substitute these results back into the expression:
\[
21 - 12 + 8
\]
3.
Simplify the expression step by step:
- First, subtract \( 12 \) from \( 21 \):
\[
21 - 12 = 9
\]
- Then, add \( 8 \) to \( 9 \):
\[
9 + 8 = 17
\]
Final Answer:
\[
\boxed{17}
\]
Explanation:
-
Step 1: Substitute the given values of \( y \) and \( b \) into the expression.
-
Step 2: Perform the multiplications to simplify the terms.
-
Step 3: Combine the results using addition and subtraction to get the final value.
This method ensures that you correctly evaluate the expression by following the order of operations (substitution, multiplication, then addition/subtraction).
Parent Tip: Review the logic above to help your child master the concept of algebraic expressions projects.
