Questions and Answers
What is represented by 'A number decreased by thirty-five'?
What is represented by 'A number increased by eighty-six'?
What is represented by 'Sixty-nine more than a number'?
What is represented by 'The difference between a number and ninety-eight'?
Signup and view all the answers
What is represented by 'The product of 7 and a number'?
Signup and view all the answers
What is represented by '8 divided by g'?
Signup and view all the answers
What is represented by 'The sum of r and 25'?
Signup and view all the answers
What is represented by 'Seven more than the product of 12 and a number'?
Signup and view all the answers
What is represented by 'Four less than six times a number'?
Signup and view all the answers
What is represented by 'Five times the sum of 8 and a number'?
Signup and view all the answers
What is represented by 'Half of a number'?
Signup and view all the answers
What is represented by 'The square of ten more than a number'?
Signup and view all the answers
What is represented by 'Six times the difference of a number and nine'?
Signup and view all the answers
What is represented by 'The quotient of a number and twenty'?
Signup and view all the answers
What is represented by 'The quotient of eleven and a number'?
Signup and view all the answers
What is represented by 'A number decreased by twelve'?
Signup and view all the answers
What is represented by 'x squared'?
Signup and view all the answers
What is represented by 'y cubed'?
Signup and view all the answers
What is represented by 'The quantity of ten and a number decreased by six'?
Signup and view all the answers
What is represented by 'The difference of nine and a number multiplied by four'?
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
