One Step Inequalities & 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, or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

How do you represent a situation where a number is at most a certain value?

Back

You can represent this situation using the '≤' symbol. For example, if a number x is at most 10, it can be written as x ≤ 10.

Front

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

Back

The first step is to isolate the variable on one side of the inequality by performing the same operation on both sides.

Front

If you have the inequality x + 5 ≤ 12, how do you solve it?

Back

To solve it, subtract 5 from both sides: x ≤ 12 - 5, which simplifies to x ≤ 7.

Front

What does the solution x > 3 represent in a real-world context?

Back

It means that the value of x must be greater than 3, which could represent a minimum requirement in a situation, such as age or quantity.

Front

How can you express that a total amount cannot exceed a certain limit?

Back

You can express this using an inequality. For example, if the total amount is represented by x and cannot exceed 100, you would write x ≤ 100.

Front

What is the inequality for a tree that is currently 6 feet tall and can grow to at most 35 feet?

Back

The inequality is 6 + f ≤ 35, where f represents the additional feet the tree can grow.

Front

How do you represent a situation where a total cost must be less than or equal to a budget?

Back

You can represent this with an inequality. For example, if the total cost is represented by x and the budget is 2000, you would write x ≤ 2000.

Front

What does the inequality 2x < 16 represent in the context of twins' weights?

Back

It represents that the combined weight of the twins, each weighing x, is less than 16 pounds.