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 goal, the current amount, and the rate of change. Use a variable to represent the unknown and write an inequality that reflects the relationship.

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 is either greater than or equal to the value on the right.

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 is either less than or equal to the value on the right.

Front

In the inequality 5x + 60 ≥ 200, what does 'x' represent?

Back

In this inequality, 'x' represents the number of weeks Sylvia invests $5 from her allowance.

Front

How do you solve a two-step inequality?

Back

To solve a two-step inequality, first isolate the variable by performing the inverse operations in the correct order, then simplify to find the solution set.

Front

What is the first step in solving the inequality 14x + 30 ≥ 240?

Back

The first step is to subtract 30 from both sides of the inequality to isolate the term with the variable.

Front

If Lea has saved $30 and needs at least $240, how much more does she need?

Back

Lea needs at least $240 - $30 = $210 more to reach her goal.

Front

What is the variable in the inequality 14x + 30 ≥ 240?

Back

The variable 'x' represents the number of cars Lea needs to wash to reach her savings goal.

Front

How do you define a variable in a word problem?

Back

To define a variable, choose a letter to represent the unknown quantity and clearly state what it represents in the context of the problem.