In Exercises 4-6, determine whether the expression 9 m-4 can...

In Exercises 4-6, determine whether the expression $9 m-4$ can be used to represent the answer to the question. If it can, explain what $m$ stands for.
The ski club bought nine lift tickets and received a $$\$ 4$$ discount on the total price. What was the total cost for the tickets?

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Key Concepts

Algebraic Expression

An algebraic expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, and division) that together represent a mathematical relationship. In many problems, such an expression models a situation where part of the result depends on an unknown value that can change.

Variable Representation

A variable is a symbol that stands in for an unknown or changeable quantity within a mathematical expression. It allows the expression to generalize a situation, making it applicable to many specific cases by substituting different values for the variable.

Translation of Word Problems

Translating a word problem into an algebraic expression involves extracting the essential quantities and their relationships from the text. This process requires identifying the relevant operations indicated by the context, such as addition for accumulation or subtraction for discounts, and then representing these relationships symbolically.

Linear Relationships

A linear relationship describes a direct proportionality or constant rate of change between two quantities. Algebraic expressions that are linear, such as one with the form of a coefficient multiplied by a variable plus or minus a constant, represent scenarios where one quantity varies steadily in relation to another.

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