Questions and Answers
Which is an example of an algebraic expression?
Which is an algebraic expression for 5 more than z?
Which word phrase can be used to represent the algebraic expression 4(21 + n)?
Which is an algebraic expression for the word phrase '8 less'?
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Suppose you are building a brick border for a garden by stacking rows of bricks on top of each other. If the height of each brick is 2.5 inches and r represents the number of rows, which algebraic expression would represent the height of the brick wall?
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Study Notes
Algebraic Expressions
- An algebraic expression contains constants and variables combined with operations, such as addition and subtraction.
- Example of an algebraic expression: 3 - a (contains a variable, a).
Creating Expressions from Word Problems
- An expression representing "5 more than z" translates to z + 5.
- Common mistakes include using products (5z) or incorrect operations (5 - z).
Translating Algebraic Expressions to Phrases
- The expression 4(21 + n) translates to "4 times the sum of 21 and a number n".
- Incorrect translations include phrases that misunderstand the order of operations or the meaning of multiplication.
Representing Word Phrases with Algebraic Expressions
- The phrase "8 less" can be expressed as 12x - 8, indicating a reduction of 8 from a quantity represented by 12x.
- It's important to arrange operations correctly to reflect the intended meaning.
Application in Real-life Scenarios
- In a brick wall scenario where each brick has a height of 2.5 inches and r represents rows, the expression to calculate the total height is 2.5r.
- Understanding expressions in context helps relate mathematical concepts to practical applications.
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Description
Test your understanding of algebraic expressions and variables with this flashcard quiz. Determine which options correctly represent algebraic expressions and their corresponding word phrases. Perfect for reinforcing key concepts in Algebra!
