Two Step Inequality Word Problems

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Front

How do you write an inequality for a word problem?

Back

Identify the variable, determine the relationship (greater than, less than, etc.), and translate the words into a mathematical expression.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

In the inequality 14x + 30 ≥ 240, what does 'x' represent?

Back

In this inequality, 'x' represents the number of cars washed by Lea.

Front

How do you solve the inequality 14x + 30 ≥ 240?

Back

Subtract 30 from both sides to get 14x ≥ 210, then divide by 14 to find x ≥ 15.

Front

What is the first step in solving a two-step inequality?

Back

The first step is to isolate the term with the variable by performing the opposite operation (addition or subtraction).

Front

What is the second step in solving a two-step inequality?

Back

The second step is to divide or multiply to solve for the variable, remembering to reverse the inequality sign if multiplying or dividing by a negative number.

Front

In the problem, 'Kiari needs at least $4800 to buy her first car,' what does 'at least' indicate?

Back

'At least' indicates that the amount must be greater than or equal to $4800.

Front

How do you define a variable in a word problem?

Back

A variable is defined by identifying what quantity is changing or what needs to be solved for in the problem.