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Questions and Answers
What is represented by 'A number decreased by thirty-five'?
What is represented by 'A number decreased by thirty-five'?
What is represented by 'A number increased by eighty-six'?
What is represented by 'A number increased by eighty-six'?
What is represented by 'Sixty-nine more than a number'?
What is represented by 'Sixty-nine more than a number'?
What is represented by 'The difference between a number and ninety-eight'?
What is represented by 'The difference between a number and ninety-eight'?
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What is represented by 'The product of 7 and a number'?
What is represented by 'The product of 7 and a number'?
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What is represented by '8 divided by g'?
What is represented by '8 divided by g'?
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What is represented by 'The sum of r and 25'?
What is represented by 'The sum of r and 25'?
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What is represented by 'Seven more than the product of 12 and a number'?
What is represented by 'Seven more than the product of 12 and a number'?
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What is represented by 'Four less than six times a number'?
What is represented by 'Four less than six times a number'?
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What is represented by 'Five times the sum of 8 and a number'?
What is represented by 'Five times the sum of 8 and a number'?
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What is represented by 'Half of a number'?
What is represented by 'Half of a number'?
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What is represented by 'The square of ten more than a number'?
What is represented by 'The square of ten more than a number'?
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What is represented by 'Six times the difference of a number and nine'?
What is represented by 'Six times the difference of a number and nine'?
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What is represented by 'The quotient of a number and twenty'?
What is represented by 'The quotient of a number and twenty'?
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What is represented by 'The quotient of eleven and a number'?
What is represented by 'The quotient of eleven and a number'?
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What is represented by 'A number decreased by twelve'?
What is represented by 'A number decreased by twelve'?
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What is represented by 'x squared'?
What is represented by 'x squared'?
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What is represented by 'y cubed'?
What is represented by 'y cubed'?
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What is represented by 'The quantity of ten and a number decreased by six'?
What is represented by 'The quantity of ten and a number decreased by six'?
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What is represented by 'The difference of nine and a number multiplied by four'?
What is represented by 'The difference of nine and a number multiplied by four'?
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Study Notes
Algebraic Expressions Flashcards
- Each phrase corresponds to a specific algebraic expression that represents mathematical relationships.
- Expressions can indicate operations such as addition, subtraction, multiplication, division, exponentiation, and combinations thereof.
Key Algebraic Expressions
- Decreased by implies subtraction: n - 35.
- Increased by denotes addition: b + 86.
- More than signifies addition: m + 69.
- Difference between indicates subtraction: x - 98.
- Product of indicates multiplication: 7x.
- Divided by refers to division: 8 ÷ g or 8/g.
- Sum of means addition: r + 25.
Complex Expressions
- Seven more than the product of 12 and a number combines multiplication and addition: 12x + 7.
- Four less than six times a number uses multiplication and subtraction: 6w - 4.
- Five times the sum of 8 and a number incorporates both addition and multiplication: 5(8 + n).
- Half of a number translates to division: ½x or x/2.
- The square of ten more than a number uses squaring after an addition: (n + 10)².
Other Expressions
- Six times the difference of a number and nine involves multiplication of a difference: 6(n - 9).
- The quotient of a number and twenty is expressed as division: x/20 or x ÷ 20.
- The quotient of eleven and a number shows division as well: 11/n or 11 ÷ n.
- A number decreased by twelve again signifies subtraction: n - 12.
- x squared is represented as: x².
- y cubed reflects exponentiation as: y³.
Additional Complex Forms
- The quantity of ten and a number decreased by six can be expressed as: (10 + m) - 6.
- The difference of nine and a number multiplied by four uses both subtraction and multiplication: (9 − n)4.
Summary of Concepts
- Understanding these algebraic expressions is vital for solving equations and understanding mathematical relationships in varied contexts.
- Each expression is formed based on specified mathematical descriptions, showcasing the versatility of algebraic representation.
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Description
This quiz consists of flashcards that help you translate phrases into algebraic expressions. Each card presents a word phrase alongside its corresponding algebraic representation. Perfect for mastering the fundamentals of algebra.