Podcast
Questions and Answers
What does 'product' mean?
What does 'product' mean?
Multiply
Translate the phrase into an algebraic expression: 8 less than the product of 4 and a number (use m for the unknown number).
Translate the phrase into an algebraic expression: 8 less than the product of 4 and a number (use m for the unknown number).
4m − 8
Write an algebraic expression for: three times a number plus 16.
Write an algebraic expression for: three times a number plus 16.
3n + 16
What does 'difference' mean?
What does 'difference' mean?
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Translate: two times the sum of a number and five.
Translate: two times the sum of a number and five.
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Translate: a number more than 12.
Translate: a number more than 12.
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Translate: m plus the product of 6 and n.
Translate: m plus the product of 6 and n.
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Translate: 4 less than x.
Translate: 4 less than x.
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'Subtracted from' and 'less than' are terms that mean you need to 'turn around' or 'flip' the terms around.
'Subtracted from' and 'less than' are terms that mean you need to 'turn around' or 'flip' the terms around.
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Translate the phrase into an algebraic expression: 57 more than 3 times Kate's score (use g for Kate's score).
Translate the phrase into an algebraic expression: 57 more than 3 times Kate's score (use g for Kate's score).
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Study Notes
Key Vocabulary and Definitions
- Product: Represents multiplication in algebraic expressions.
- Difference: Indicates subtraction in algebraic expressions.
Algebraic Expressions from Phrases
- "8 less than the product of 4 and a number" translates to 4m − 8 (where m is the unknown number).
- "Three times a number plus 16" is represented as 3n + 16 (with n as the variable).
- "Two times the sum of a number and five" is expressed as 2(y + 5) (where y is the variable).
- "A number more than 12" simplifies to 12 + n.
- "m plus the product of 6 and n" translates to m + 6n.
- "4 less than x" is written as x − 4.
- "57 more than 3 times Kate's score" becomes 3g + 57 (using g to denote Kate's score).
Important Concepts
- The phrases "subtracted from" and "less than" necessitate reordering the terms to correctly form expressions.
- When encountering setups with multiple operations, maintain clarity in order of operations and variable use.
Notation
- Use parentheses effectively to denote operations, especially when sums are involved, ensuring clarity in expressions.
Variable Representation
- Utilize specific letters (e.g., m, n, g) as placeholders for unknown quantities in expressions to simplify translations from verbal to algebraic form.
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Description
This quiz focuses on converting verbal phrases into algebraic expressions, an essential skill in understanding algebra. It covers various operations such as multiplication, addition, and subtraction expressed in words. Test your knowledge of translating these phrases correctly using the provided variable.
