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Questions and Answers
Which is an example of an algebraic expression?
Which is an example of an algebraic expression?
- 18²
- 21 4
- 4(3 + 8)
- 3 - a (correct)
Which is an algebraic expression for 5 more than z?
Which is an algebraic expression for 5 more than z?
- z + 5 (correct)
- 5 - z
- 5z + 5
- 5z
Which word phrase can be used to represent the algebraic expression 4(21 + n)?
Which word phrase can be used to represent the algebraic expression 4(21 + n)?
- 4 times the product of 21 and a number n
- 4 times the sum of 21 and a number n (correct)
- 4 plus the sum of 21 and a number n
- 4 less than the sum of 21 and a number n
Which is an algebraic expression for the word phrase '8 less'?
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?
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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