Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, and is represented with an equal sign (=).

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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, using symbols like >, <, ≥, or ≤.

Front

How do you represent a situation where a person needs to save money over time?

Back

You can represent this situation using an inequality. For example, if someone needs at least a certain amount of money, you can express it as: current amount + (savings per week * number of weeks) ≥ required amount.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side of the inequality is either greater than or equal to the value on the right side.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side of the inequality is either less than or equal to the value on the right side.

Front

If Remington has $1,800 and saves $50 per week, how can we express the total amount he will have after 'w' weeks?

Back

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Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between two expressions that are not necessarily equal, indicating one is greater or less than the other.

Front

What is a variable in the context of equations and inequalities?

Back

A variable is a symbol, often represented by letters like x or w, that stands for an unknown value in an equation or inequality.

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What does it mean to 'solve' an equation or inequality?

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To 'solve' an equation or inequality means to find the value(s) of the variable(s) that make the statement true.