➕ Topic Summary
One-step inequalities with addition are similar to solving regular addition equations, but instead of finding a single answer, we find a range of possible answers. The goal is to isolate the variable on one side of the inequality by performing the opposite operation (subtraction) on both sides. Remember, whatever you do to one side, you must do to the other to keep the inequality balanced! This will help you understand grade 7 one-step inequalities by addition.
For example, if you have $x + 3 > 5$, you would subtract 3 from both sides to get $x > 2$. This means that $x$ can be any number greater than 2, but not equal to 2.
🔤 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Inequality |
A. A symbol showing a value is less than or equal to another. |
| 2. Variable |
B. A mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤. |
| 3. ≥ |
C. A letter or symbol representing an unknown quantity. |
| 4. Solution Set |
D. The process of finding the value(s) of the variable that make the inequality true. |
| 5. Solving Inequalities |
E. The set of all values that satisfy the inequality. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: subtraction, greater, addition, inequality, variable.
An _______ is a statement that compares two expressions. To solve a one-step inequality with _______, you use the inverse operation of _______. When the _______ is isolated you know the solution.
🤔 Part C: Critical Thinking
Explain why the solution to an inequality is a range of values, while the solution to an equation is usually a single value. Provide an example to support your explanation.