๐ Topic Summary
Real numbers are simply all the numbers that can be found on the number line. That includes positive and negative whole numbers, fractions, decimals, and irrational numbers like $\sqrt{2}$ and $\pi$. Algebraic expressions are combinations of numbers, variables (like x and y), and mathematical operations (like +, -, ร, รท). This worksheet will give you some practice working with both!
๐ง Part A: Vocabulary
Match each term with its correct definition:
| Term |
Definition |
| 1. Variable |
A. A number that multiplies a variable. |
| 2. Constant |
B. A symbol (usually a letter) that represents an unknown value. |
| 3. Coefficient |
C. A term that has no variable factor. |
| 4. Expression |
D. Parts of an algebraic expression separated by + or - signs. |
| 5. Term |
E. A combination of numbers, variables, and operators. |
๐ Part B: Fill in the Blanks
Complete the paragraph below using the following words: algebraic, numbers, operations, real, variable.
An ________ expression is a mathematical phrase that can contain ________, ________, and at least one ________. ________ numbers include all rational and irrational numbers.
๐ก Part C: Critical Thinking
Explain, in your own words, why it's important to understand the order of operations when simplifying algebraic expressions. Give an example to support your answer.