📚 Topic Summary
Two-step inequalities are like regular two-step equations, but instead of an equal sign, they have an inequality symbol (like >, <, ≥, or ≤). Solving them involves isolating the variable using inverse operations. Remember, when you multiply or divide both sides by a negative number, you must flip the inequality sign! This worksheet will help you master this important skill.
🔤 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Inequality |
A. A value that, when substituted for a variable, makes the inequality true. |
| 2. Variable |
B. A symbol (usually a letter) that represents an unknown number. |
| 3. Solution Set |
C. The set of all values that satisfy an inequality. |
| 4. Coefficient |
D. A mathematical statement that compares two expressions using inequality symbols. |
| 5. Constant |
E. A number that is multiplied by a variable. |
✍️ Part B: Fill in the Blanks
Complete the following sentences:
When solving an inequality, we use __________ operations to isolate the __________. If we multiply or divide by a __________ number, we must flip the __________ sign. The solution to an inequality is a __________ of values.
🤔 Part C: Critical Thinking
Explain in your own words why it's important to flip the inequality sign when multiplying or dividing by a negative number. Give an example to illustrate your point.