Questions and Answers
What is the expression for triple a number?
What is ten more than a number?
x + 10
What is the expression for double a number?
What is the expression for a number times itself?
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What is ten times a number?
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What is three times the sum of a number and 2?
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What is ten less than a number?
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What is ten minus a number?
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What is a number divided by 2?
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What is one fourth of a number?
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What is a number divided into 6 parts?
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What is one third of a number?
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What is a number increased by 10?
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What is a number decreased by 10?
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What is three more than a number?
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What is the product of 10 and a number?
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What is the difference of a number and ten?
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What is a number subtracted from ten?
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What is the quotient of 18 and a number?
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What is five more than twice a number?
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What is eleven less than three times a number?
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What is three times a number, increased by seventeen?
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What is the product of nine and a number decreased by six?
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What is three times the difference of a number and seven?
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What is nine less than the product of a number and four?
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What is seven more than the quotient of ten and a number?
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What is ten thousand times the sum of a number and seven hundred?
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What is the product of a number and three plus seven?
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What is five less than twice a number?
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What is seven divided by the sum of a number and two?
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What is three-fourths of a number decreased by eight?
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What is the difference between a number and seven?
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What is the product of a number and three?
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Study Notes
Algebraic Expressions Overview
- Understanding how to translate verbal phrases into algebraic expressions is essential for solving mathematical problems.
- Algebraic expressions convey relationships between numbers and operations using variables.
Key Translations
- triple a number → Represents three times a variable: 3x
- ten more than a number → Indicates addition: x + 10
- double a number → Suggests multiplying the variable by two: 2x
- a number times itself → Expresses squaring the variable: x²
- ten times a number → Denotes multiplication by ten: 10x
Negative Relationships
- ten less than a number → Indicates subtraction: x - 10
- 10 minus a number → Another way to express subtraction: 10 - x
Division and Fractions
- a number divided by 2 → Shows division: x/2 or x ÷ 2
- one fourth of a number → Represents a fractional expression: ¼x or x/4
- a number divided into 6 parts → Indicates division into six: x/6
- one third of a number → Expressed as a fraction: x/3 or (1/3)x
More Complex Expressions
- three times the sum of a number and 2 → Combines multiplication and addition: 3(x + 2)
- the product of 10 and a number → Multiplication reflected in the expression: 10x
- the difference of a number and ten → Subtraction represented: x - 10
- a number subtracted from ten → Also a subtraction expression: 10 - x
Relationships Involving Multiple Steps
- the quotient of 18 and a number → Denotes division involving a fixed number: 18/x
- five more than twice a number → Combines multiplication with addition: 2x + 5
- eleven less than three times a number → Shows a relationship of multiplication and subtraction: 3x - 11
- three times a number, increased by seventeen → Variation of multiplication plus addition: 3x + 17
- the product of nine and a number decreased by six → Links multiplication with subtraction: 9x - 6
- three times the difference of a number and seven → Involves both subtraction and multiplication: 3(x - 7)
- nine less than the product of a number and four → Reflects multiplication followed by subtraction: 4x - 9
Advanced Expressions
- seven more than the quotient of ten and a number → Complex division and addition: 7 + 10/n
- ten thousand times the sum of a number and seven hundred → Large multiplication reflecting addition: 10000(x + 700)
- the product of a number and three plus seven → Involves multiplication followed by addition: 3x + 7
- five less than twice a number → Combines multiplication and subtraction: 2x - 5
- seven divided by the sum of a number and two → Specifies division with a sum: 7/(x + 2)
- three-fourths of a number decreased by eight → Involves a fraction and subtraction: 3/4x - 8
- the difference between a number and seven → A straightforward subtraction expression: x - 7
- the product of a number and three → Simple multiplication: 3x
Summary
- Familiarity with these expressions enhances understanding of algebra and aids in solving various mathematical problems.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of algebraic expressions using these flashcards. Each card presents a mathematical phrase with its corresponding algebraic representation. Perfect for students looking to enhance their understanding of basic algebra concepts.
