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Questions and Answers
What is an algebraic expression?
What is an algebraic expression?
- A mathematical sentence with only numbers
- Only a variable
- A mathematical sentence containing numbers, variables, and operations (correct)
- An equation with a solution
What is a variable?
What is a variable?
A quantity that may change within a mathematical context.
What is a term in mathematics?
What is a term in mathematics?
A component of an expression separated by plus or minus signs.
What is a factor?
What is a factor?
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The number listed first when multiplying a variable and a number is called ________
The number listed first when multiplying a variable and a number is called ________
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What is a constant?
What is a constant?
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What does the base number indicate in multiplication?
What does the base number indicate in multiplication?
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What is an exponent?
What is an exponent?
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The process of replacing a variable with a given value in an expression is called __________.
The process of replacing a variable with a given value in an expression is called __________.
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Study Notes
Algebraic Expressions
- An algebraic expression is a combination of numbers, variables, and operations, such as addition or subtraction. Example: x + 4.
Variables
- Variables represent quantities that can vary in mathematical contexts. Typically, a single letter denotes a variable.
Terms
- Algebraic expressions consist of terms, which are components separated by plus or minus signs. Terms can include variables, numbers, or products of variables and numbers.
Factors
- Factors are numbers multiplied together to yield a product. They play a crucial role in creating terms within algebraic expressions.
Coefficients
- In an algebraic term featuring multiplication between a variable and a number, the number in front is known as the coefficient.
Constants
- Constants are fixed-value numbers within an expression. They do not change and stand alone without any variables.
Base
- The base in an expression signifies the number that is subject to multiplication in exponential expressions.
Exponent
- An exponent indicates how many times the base number is multiplied by itself. It clarifies the extent of a base's impact in calculations.
Substitution
- Substitution involves replacing a variable in an expression with a specific value to evaluate the expression. This process simplifies calculations and solves problems effectively.
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