Questions and Answers
What is an algebraic expression?
An expression that contains numbers, operations, and one or more symbols.
What are the parts of an algebraic expression called?
Terms
What are symbols called that represent one or more numbers?
Variable
What is the numerical factor of a term that contains a variable called?
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What are the terms called without a variable?
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Identify the terms, coefficients, and constants in the expression: 12 + 10c.
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Identify the terms, coefficients, and constants in the expression: 15 + 3w + 1/2.
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Identify the terms, coefficients, and constants in the expression: z² + 9w - 2.
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Study Notes
Algebraic Expressions
- An algebraic expression comprises numbers, operations, and one or more symbols.
- Example: 3 + 2x + 7y is an algebraic expression.
Parts of an Algebraic Expression
- Individual components of an expression are called terms.
- Terms are distinguished by addition (+) or subtraction (−) signs.
- Example: In 3 + 2x + 7y, the terms are 3, 2x, and 7y.
Variables
- Symbols that represent one or more numbers within an expression are called variables.
- Examples of variables include x and y in the expression 3 + 2x + 7y.
Coefficients
- The numerical factor associated with a variable in a term is called a coefficient.
- Example: In the expression 3 + 2x + 7y, the coefficients are 2 (for 2x) and 7 (for 7y).
Constants
- Terms without any variables are referred to as constants.
- Example: In the expression 3 + 2x + 7y, the constant is 3.
Example Breakdown
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For the expression 12 + 10c:
- Terms: 12, 10c
- Coefficient: 10
- Constant: 12
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For the expression 15 + 3w + 1/2:
- Terms: 15, 3w, 1/2
- Coefficient: 3
- Constants: 15, 1/2
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For the expression z² + 9w - 2:
- Terms: z², 9w, 2
- Coefficients: 9 (and 1 implicit before z²)
- Constant: 2
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Description
This flashcard quiz helps you learn about algebraic expressions and their components. You will explore definitions and examples of terms and symbols in algebra. Test your knowledge and understanding of the structure of algebraic expressions.