Evaluating Expressions Worksheet

Evaluating Expressions

Carefully evaluate each expression by substituting the given values for the variables. Show all your work for full credit.

1. Evaluate the expression \( 3x^2 - 5x + 7 \) when \( x = -2 \).

2. Find the value of \( 2a^3 + 4b - ab \) when \( a = 3 \) and \( b = -1 \).

3. If \( x = 4 \) and \( y = -2 \), then \( \frac{x^2 - y^2}{x + y} \) evaluates to  .

4. The expression \( \frac{5m + 2n}{m - n} \) when \( m = -3 \) and \( n = 1 \) is equal to  .

5. What is the value of \( |3x - 7| - |2 - x| \) when \( x = 2 \)?

6. Evaluate \( \sqrt{a^2 + b^2} \) when \( a = -3 \) and \( b = 4 \).

7. The expression \( (x+y)^2 - (x-y)^2 \) evaluates to \( 4xy \) for all real numbers \( x \) and \( y \).