Page 2: Advanced Practice Problems

The second page builds upon the basic concepts with more complex substitution problems, featuring expressions with multiple variables and higher-order operations. Students practice evaluating expressions involving fractions, absolute values, and cubic terms.

Example: For the expression a² + b² / $a-b$ where a = 3 and b = 4:

1. Substitute values: (3)² + (4)² / $3-4$
2. Evaluate squares: 9 + 16 / $-1$
3. Add numerator: 25 / $-1$
4. Final answer: -25

Highlight: When working with expressions containing absolute values, evaluate the expression inside the absolute value symbols first, then determine the positive distance from zero.

Page 1: Introduction to Algebraic Expression Substitution

This page introduces the fundamental concepts of algebraic substitution and provides guided practice examples. The content focuses on the proper methodology for evaluating expressions by replacing variables with given values.

Definition: An algebraic expression is a mathematical phrase composed of numbers and variables.

Highlight: When substituting variables with numbers, always use parentheses around the substituted values to maintain clarity and avoid errors.

Example: For the expression ab² + c where a = 2, b = 4, c = 7:

1. Substitute: (2)(4)² + (7)
2. Evaluate exponent: (2)(16) + (7)
3. Multiply: 32 + 7
4. Final answer: 39

Vocabulary: Substitution in algebra refers to the process of replacing variables with their given numerical values.