Question

give an example of an algebraic expression and a numerical expression that have the same value when evaluated.

Explanation:

An algebraic expression contains variables, while a numerical expression has only numbers. Let's choose a variable value to make them equal. For example, take the algebraic expression \( 2x + 3 \) and let \( x = 4 \). Then the algebraic expression evaluates to \( 2(4)+3 = 8 + 3=11 \). A numerical expression with value 11 could be \( 5 + 6 \) (since \( 5+6 = 11 \)). Another simple example: algebraic expression \( x + 5 \) with \( x = 2 \) (evaluates to \( 2 + 5=7 \)) and numerical expression \( 3 + 4 \) (since \( 3 + 4=7 \)).

Answer:

Algebraic expression: \( x + 5 \) (when \( x = 2 \), value is \( 2 + 5 = 7 \)); Numerical expression: \( 3 + 4 \) (value is \( 7 \))
(Other valid examples are also acceptable, e.g., Algebraic: \( 3y - 2 \) ( \( y = 3 \), \( 3(3)-2 = 7 \) ); Numerical: \( 9 - 2 \) ( \( 7 \) ))