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 represent a situation where you need to have at least a certain amount of money?

Back

You can represent this situation with an inequality, such as x ≥ amount, where x is the total amount of money.

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

How do you solve the inequality 7x - 25 ≥ 65?

Back

Add 25 to both sides to get 7x ≥ 90, then divide by 7 to find x ≥ 12.86.

Front

What is the first step in solving the inequality 45 + 15x > 205?

Back

Subtract 45 from both sides to isolate the term with x, resulting in 15x > 160.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

How do you represent a situation where you need to save a certain amount of money?

Back

You can represent this situation with an inequality, such as x + savings ≥ target amount, where x is the amount saved.

Front

What is the solution to the inequality 5x + 10 ≥ 77?

Back

Subtract 10 from both sides to get 5x ≥ 67, then divide by 5 to find x ≥ 13.4.

Front

How do you interpret the inequality 100 - 12x ≥ 25?

Back

This means that after withdrawing money for x months, Noah must have at least $25 left in his account.

Front

What is the first step in solving the inequality 25 + 3x ≥ 68?

Back

Subtract 25 from both sides to isolate the term with x, resulting in 3x ≥ 43.