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)

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