Unit 3 Review #3 - Equation and Inequalities Word Problems

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

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and use inequality symbols to express the conditions stated in the problem.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality by performing inverse operations.

Front

What does the term 'at least' indicate in a word problem?

Back

The term 'at least' indicates a minimum value, which translates to a greater than or equal to inequality (≥).

Front

How do you interpret the phrase 'no more than' in a word problem?

Back

The phrase 'no more than' indicates a maximum value, which translates to a less than or equal to inequality (≤).

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 than or less than another.

Front

How can you check if your solution to an inequality is correct?

Back

You can check your solution by substituting the value back into the original inequality to see if it holds true.

Front

What does the term 'solve for x' mean in the context of inequalities?

Back

'Solve for x' means to find the value(s) of x that make the inequality true.

Front

What is a common mistake when solving inequalities?

Back

A common mistake is forgetting to reverse the inequality sign when multiplying or dividing by a negative number.