Semester 1 Study Guide

Front

What is the total number of seats in a theater if the green section has 350 seats and the orange section has the remaining seats?

Back

Total seats = Green seats + Orange seats. If Green = 350, then Total = 350 + Orange.

Front

What is an independent variable?

Back

An independent variable is a variable that can change freely and is not affected by other variables.

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the independent variable.

Front

What does a variable represent in mathematics?

Back

A variable represents an unknown value that can change.

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same angles and side lengths.

Front

If a ticket for a green section seat costs $75, what is the cost for 4 tickets?

Back

Cost = 4 tickets * $75/ticket = $300.

Front

If a ticket for an orange section seat costs $50, what is the cost for 3 tickets?

Back

Cost = 3 tickets * $50/ticket = $150.

Front

What is the formula for calculating the total revenue from ticket sales?

Back

Total Revenue = (Number of Green Tickets * Price of Green Ticket) + (Number of Orange Tickets * Price of Orange Ticket).

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What is a coefficient in mathematics?

Back

A coefficient is a numerical factor in a term of an algebraic expression.