One Step Inequalities Worksheet

Introduction to One Step Inequalities

In mathematics, an inequality is a statement that compares two expressions using greater than, less than, greater than or equal to, or less than or equal to. One step inequalities are the simplest form of inequalities, where only one operation is required to solve them. In this article, we will explore one step inequalities, their types, and how to solve them.

Types of One Step Inequalities

There are four types of one step inequalities: * Addition inequalities: These are inequalities where the variable is added to a constant, e.g., x + 3 > 5. * Subtraction inequalities: These are inequalities where a constant is subtracted from the variable, e.g., x - 2 < 3. * Multiplication inequalities: These are inequalities where the variable is multiplied by a constant, e.g., 2x > 6. * Division inequalities: These are inequalities where the variable is divided by a constant, e.g., x/3 < 2.

Solving One Step Inequalities

To solve one step inequalities, we need to isolate the variable. The steps to solve one step inequalities are: * For addition inequalities, subtract the constant from both sides of the inequality. * For subtraction inequalities, add the constant to both sides of the inequality. * For multiplication inequalities, divide both sides of the inequality by the constant. * For division inequalities, multiply both sides of the inequality by the constant.

📝 Note: When dividing or multiplying both sides of an inequality by a negative number, we need to reverse the direction of the inequality sign.

Examples of One Step Inequalities

Let’s consider some examples of one step inequalities: * x + 2 > 5: To solve this inequality, we subtract 2 from both sides, which gives us x > 3. * x - 3 < 2: To solve this inequality, we add 3 to both sides, which gives us x < 5. * 2x > 6: To solve this inequality, we divide both sides by 2, which gives us x > 3. * x/4 < 2: To solve this inequality, we multiply both sides by 4, which gives us x < 8.

One Step Inequalities Worksheet

Here are some practice questions to help you master one step inequalities:

Inequality	Solution
x + 1 > 4	x > 3
x - 2 < 3	x < 5
3x > 9	x > 3
x/2 < 3	x < 6

Some key points to remember when solving one step inequalities are: * Always isolate the variable. * Be careful when dividing or multiplying both sides of an inequality by a negative number. * Use inverse operations to solve one step inequalities.

In summary, one step inequalities are simple inequalities that can be solved using basic algebraic operations. By understanding the different types of one step inequalities and how to solve them, you can improve your math skills and become more confident in solving more complex inequalities.