📚 Topic Summary
Equations and inequalities are fundamental tools in algebra. An equation is a statement that two expressions are equal, indicated by an equals sign (=). Solving an equation means finding the value(s) of the variable that make the equation true. An inequality, on the other hand, compares two expressions using inequality symbols such as < (less than), > (greater than), $\leq$ (less than or equal to), or $\geq$ (greater than or equal to). Solving an inequality means finding the range of values for the variable that satisfy the inequality. Understanding these concepts is crucial for success in algebra and beyond!
🧮 Part A: Vocabulary
Match the term to its correct definition:
| Term |
Definition |
| 1. Equation |
A. A value that makes an equation true. |
| 2. Inequality |
B. A statement comparing two expressions using symbols like < or >. |
| 3. Variable |
C. A symbol (usually a letter) representing an unknown value. |
| 4. Solution |
D. A statement that two expressions are equal. |
| 5. Expression |
E. A combination of numbers, variables, and operations. |
✍️ Part B: Fill in the Blanks
Complete the paragraph using the words: equation, inequality, solution, variable, solve.
To find the value of a(n) ________ in an ________, we ________ the ________. The answer we obtain is called the ________.
🤔 Part C: Critical Thinking
Explain, in your own words, the difference between solving an equation and solving an inequality. Give an example of each.