๐ Topic Summary
In algebra, a coefficient is the number that is multiplied by a variable in an algebraic expression. Think of it as the number 'hugging' the letter. For example, in the term $5x$, 5 is the coefficient. If you see a variable by itself (like just $y$), the coefficient is understood to be 1 (so it's like $1y$). Recognizing coefficients is key to simplifying expressions and solving equations!
๐๏ธ Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Variable |
a. A number that multiplies a variable |
| 2. Coefficient |
b. A symbol (usually a letter) representing an unknown value |
| 3. Term |
c. A constant or a variable multiplied by a coefficient |
| 4. Constant |
d. A value that does not change |
| 5. Expression |
e. A combination of terms connected by mathematical operators |
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph using the words: coefficient, variable, algebraic, number, and term.
In an __________ expression, a __________ is a symbol representing an unknown value. The __________ that multiplies the variable is called the __________. For example, in the __________ $7y$, 7 is the coefficient.
๐ค Part C: Critical Thinking
Why is it important to be able to identify the coefficient in an algebraic expression? Give at least two reasons.