Questions and Answers
What is a variable?
What is a coefficient?
The number that the variable is multiplied by.
Define a term.
A number, variable, or a product of number and variables together.
What is a constant?
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What is an algebraic expression?
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What is an algebraic equation?
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What is the constant in the expression 3x + 2?
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What is the coefficient in the expression 3x + 2?
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What is the variable in the expression 3x + 2?
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How many terms are in the expression 3mn - 2m + 5y + 3?
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What is the coefficient of the expression 3 + 7(9) - m?
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How many terms are in the expression 12(3) + 7 - (8*7) - 7 + 5a?
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Is 40 - 37 + m = 101 an equation or an expression?
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What is the constant of the expression 3m + x - 32x + 7?
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Study Notes
Algebra Vocabulary
- Variable: Represents an unknown number, typically denoted by letters like x.
- Coefficient: The numerical factor that multiplies a variable, generally placed before the variable in an expression.
- Term: Can be a number, variable, or a combination of both multiplied together. Terms are separated by addition or subtraction signs in expressions.
- Constant: A fixed numerical value that does not change and does not include any variables.
- Algebraic Expression: Composed of one or more algebraic terms, these expressions do not have an equal sign.
- Algebraic Equation: A statement asserting that two algebraic expressions are identical, characterized by the presence of an equal sign.
Examples and Applications
- In the expression 3x + 2:
- The constant is 2.
- The coefficient is 3.
- The variable is x.
- The expression 3mn - 2m + 5y + 3 contains 4 terms due to the addition of distinct parts.
- In the expression 3 + 7(9) - m, the coefficient is 1 for the variable m, since it is implicitly multiplied by 1.
- The expression 12(3) + 7 - (8*7) - 7 + 5a consists of 5 terms.
- The equation 40 - 37 + m = 101 is identifiable as an equation due to the equal sign.
- The constant in the expression 3m + x - 32x + 7 is 7.
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Description
Test your knowledge about key algebra vocabulary terms such as variable, coefficient, term, constant, algebraic expression, and algebraic equation. This quiz will help reinforce your understanding of these fundamental concepts in algebra.
