Writing equations and inequalities with variables on both sides

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than' or 'above'.

Front

Write the inequality that represents the situation: Renting games from Netwii costs $3.33 per game, and from HDO it costs $2.00 per game plus a $10 monthly fee, when Netwii's cost is more.

Back

3.33v > 2v + 10

Front

Write the equation to find when the cost of installing blinds from two companies is equal: Company A charges $25 for one room and $5 for each additional window, while Company B charges $30 for one room and $4 for each additional window.

Back

25 + 5x = 30 + 4x

Front

What situation could represent the inequality: 25 - x < 15 + x?

Back

The school band has 25 people, and the theater class has 15 people. How many people must move from the band class to the theater class for the theater class to be as big or larger than the school band?

Front

Write the equation to determine how many games need to be purchased for the cost of an Xbox One and games to equal the cost of a Playstation 4 and games.

Back

150 + 24x = 180 + 20x

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

Define a variable in the context of equations and inequalities.

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to simplify both sides of the equation, if necessary, and then move the variable terms to one side.

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities are used to express constraints or limits in real-life situations, such as budgets, capacities, and comparisons.