๐ Topic Summary
Algebraic expressions are mathematical phrases that combine numbers, variables (like 'x' or 'y'), and operations (like $+$, $-$, $x$, $\div$). When we translate word phrases into algebraic expressions, we need to identify key words that indicate multiplication or division. For example, 'times' or 'product' usually mean multiplication, while 'divided by' or 'quotient' indicate division. Remember to represent unknown numbers with variables!
Let's practice translating those tricky word phrases into concise algebraic expressions. You've got this!
๐ค Part A: Vocabulary
Match the term with its correct definition:
- Term
- Variable
- Coefficient
- Expression
- Quotient
- A symbol (usually a letter) representing an unknown number.
- A number or the product of a number and variable(s).
- The result of division.
- A mathematical phrase containing numbers, variables, and operations.
- The numerical factor of a term containing variables.
Write the number of the definition next to the term.
โ๏ธ Part B: Fill in the Blanks
Complete the paragraph using the words: product, variable, quotient, expression, coefficient.
An algebraic __________ is a combination of numbers, operations, and __________. The __________ indicates the result of dividing two numbers. In the term 7x, 7 is the __________. The __________ refers to the result of multiplying two or more numbers.
๐ค Part C: Critical Thinking
Explain, in your own words, why it is important to understand how to translate word phrases into algebraic expressions. Give a real-world example where this skill might be useful.