Writing Equations & Inequalities and Funtions Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a situation with an inequality?

Back

You identify the variables and constants involved, then create an inequality that reflects the relationship between them, such as costs, limits, or comparisons.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What is the first step to solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides to isolate the term with the variable.

Front

What is the solution to the equation -5t + 9 = 24?

Back

t = -3.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the equation to find the total cost of renting a paddle boat?

Back

Total cost = deposit + (cost per hour × number of hours) or C = 15 + 2h.

Front

How do you write an inequality for a budget constraint?

Back

Identify the total amount available and express the costs as an inequality, e.g., total cost ≤ budget.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.