Writing Equations and Inequalities from 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 it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words and relationships described in the problem into a mathematical expression or equation.

Front

How do you identify the variable in a word problem?

Back

The variable is usually the unknown quantity that you need to find, often represented by a letter such as x or p.

Front

What is the first step in solving a word problem involving inequalities?

Back

The first step is to read the problem carefully and identify the key information, including the quantities involved and the relationships between them.

Front

How do you represent 'more than' in an inequality?

Back

'More than' is represented by the symbol '>' in an inequality.

Front

How do you represent 'less than or equal to' in an inequality?

Back

'Less than or equal to' is represented by the symbol '≤' in an inequality.

Front

What is the significance of the constant term in an inequality?

Back

The constant term represents a fixed value that can affect the solution set of the inequality.

Front

How do you solve the inequality 0.45p + 1.6 > 1.75 for p?

Back

Subtract 1.6 from both sides: 0.45p > 0.15. Then divide by 0.45: p > 0.33.

Front

What does the inequality 5p + 75 ≥ 386 represent in a word problem?

Back

It represents the total amount of money earned from selling pies plus the initial amount given for the field trip, which must be at least $386.

Front

How do you express 'at least' in an inequality?

Back

'At least' is expressed using the symbol '≥' in an inequality.