Page 2: Subtracting Linear Expressions and Word Problems

This page extends the concepts to subtraction and real-world applications, particularly focusing on linear profit function problems and practical scenarios.

Example: A word problem involving a cowboy hat demonstrates how to calculate earnings using linear expressions: Original price: d dollars Purchase price with coupon: $d-2$ dollars Selling price: $2d-4$ dollars Earnings = $2d-4$-$d-2$ = d-2

Highlight: The page emphasizes how linear equations money word problems can be solved by breaking down the problem into smaller steps and using linear expressions.

Definition: Earnings in this context are calculated as the difference between selling price and purchase price, demonstrating a practical application of linear profit function formula.

The page concludes with additional practice problems focusing on subtracting linear expressions and solving more complex equations involving coefficients and decimals.

Page 1: Adding Linear Expressions

This page introduces the concept of simplifying linear expressions and demonstrates how to add them effectively. The content focuses on combining like terms and using mathematical properties to solve problems.

Definition: A linear expression is an algebraic expression where the highest exponent on any variable is 1.

Example: Adding linear expressions: 1$x-2$ + 1$3x + 8$ = 4x + 6 The solution demonstrates combining like terms and using the commutative property.

Highlight: When adding linear expressions, it's crucial to identify like terms and combine them appropriately.

The page includes multiple practice problems for adding and subtracting linear expressions with fractions and integers, helping students build confidence in solving various types of expressions.

Vocabulary: Commutative Property - The order of addition doesn't affect the result Like Terms - Terms with the same variables raised to the same powers