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 these to form an inequality that represents the situation.

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 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

If Sylvia has $60 and saves $5 per week, how do you express her savings goal of at least $200?

Back

The inequality is 5x + 60 ≥ 200, where x is the number of weeks.

Front

How do you solve the inequality 5x + 60 ≥ 200?

Back

Subtract 60 from both sides to get 5x ≥ 140, then divide by 5 to find x ≥ 28.

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) on both sides.

Front

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

Back

The second step is to divide or multiply both sides by the coefficient of the variable, remembering to reverse the inequality sign if multiplying or dividing by a negative number.

Front

If Kiari needs at least $4800 and has saved half, how do you express her savings goal?

Back

The inequality is 50x + 2400 ≥ 4800, where x is the number of weeks.

Front

What does it mean if an inequality has a solution of x ≥ 15?

Back

It means that x can be 15 or any number greater than 15.