MathematicsFreePrintable

Two Variable Expressions

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Two Variable Expressions

Mathematical expressions with variables

📊 Part 1: Evaluating Two Variable Expressions

Instructions: Substitute the given values for each variable and evaluate the expression. Show your work in the space provided.

1. Evaluate: 3x + 2y when x = 4 and y = 5

Answer: _________

2. Evaluate: 5a - 3b when a = 6 and b = 2

Answer: _________

3. Evaluate: 4m + 7n - 8 when m = 3 and n = 1

Answer: _________

4. Evaluate: -2x + 5y when x = 7 and y = 3

Answer: _________

5. Evaluate: 6p - 4q + 12 when p = 2 and q = -3

Answer: _________

📝 Part 2: Word Problems

Instructions: Read each problem carefully. Write an expression with two variables, then substitute the given values and solve.

6. Maria buys x pencils for $2 each and y notebooks for $3 each. Write an expression for the total cost. Then find the total cost when x = 4 pencils and y = 2 notebooks.

Expression: ________________

Total cost: $ _________

7. A rectangle has a length of (3x + 2) feet and a width of (2y - 1) feet. Write an expression for the perimeter of the rectangle. Then find the perimeter when x = 5 and y = 4.

Remember: Perimeter = 2(length + width)

Expression: ________________

Perimeter: _________ feet

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