Question

1. look for relationships explain why you can have different values when evaluating an algebraic expression.

Explanation:

Algebraic expressions contain variables (like \( x \), \( y \)). A variable can represent different numbers. When we substitute different values for the variable(s) in the expression and simplify, we get different results. For example, in \( 2x + 3 \), if \( x = 1 \), the value is \( 2(1)+3 = 5 \); if \( x = 2 \), it's \( 2(2)+3 = 7 \). So different variable values lead to different evaluation results.

Answer:

Algebraic expressions contain variables (e.g., \( x \), \( y \)) that can take on different numerical values. When different values are substituted for these variables and the expression is simplified, the resulting value of the expression changes. For example, in \( 3x + 2 \), substituting \( x = 1 \) gives \( 3(1)+2 = 5 \), and substituting \( x = 2 \) gives \( 3(2)+2 = 8 \), showing different values based on variable substitution.