Evaluating Expressions with Two or More Variables Worksheets

There are four sets of evaluate algebraic expressions worksheets:

• Algebraic Expressions with 1 Variable (positive numbers)
  
• Algebraic Expressions with 1 Variable (integers)
  
• Algebraic Expressions with 2 Variables (positive numbers)
  
• Algebraic Expressions with 2 Variables (integers)
  

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to evaluate expressions with variables (substitute integers).

How to Evaluate Expressions with Variables (substitute integers)?

There are two sets of Evaluating Expressions with Variables worksheets.

• Evaluating Expression with Variables (add, subtract, multiply, divide).
• Evaluating Expression with Variables (parenthesis, exponents).

These are the steps to evaluate expressions with variables:

1. Substitute the variables with their provided values.
2. Use the order of operations (PEMDAS/BODMAS) to carry out operations in the correct sequence.

• Parentheses: Evaluating expressions within parentheses first.
• Exponents: Compute any exponents or powers.
• Multiplication and Division: Perform these operations from left to right.
• Addition and Subtraction: Perform these operations from left to right.

Example:
Evaluating the expression 3(x + 1)² + 5(y + 2) when x = 2 and y = -4.
Substitute x with 2 and y with 4: 3(2 + 1)² + 5(-4 + 2)
Evaluating expressions within parentheses: 3(3)² + 5(-2)
Compute the exponents: 3(9) + 5(-2)
Multiply and Add: 27 + (-10) = 17

Remember to follow the order of operations and simplify each step along the way to evaluate the algebraic expressions accurately.

Have a look at this video if you need to review how to evaluate expressions with variables.

• Evaluating Expressions with Two Variables

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Evaluating Expressions with Variables.

 

More Evaluating Expressions with Variables

Printable
(Answers on the second page.)
Evaluating Expressions with Variables Worksheet #1 (add, subtract, multiply, divide)
Evaluating Expressions with Variables Worksheet #2 (parenthesis, exponents)

Related Lessons & Worksheets

Evaluating Algebraic Expression Conversion

More Printable Worksheets

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.