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Questions and Answers
What is a variable?
What is a variable?
- A letter that stands for an unknown number (correct)
- An algebraic expression
- A coefficient
- A number that does not change
What is a coefficient?
What is a coefficient?
The number that the variable is multiplied by.
Define a term.
Define a term.
A number, variable, or a product of number and variables together.
What is a constant?
What is a constant?
What is an algebraic expression?
What is an algebraic expression?
What is an algebraic equation?
What is an algebraic equation?
What is the constant in the expression 3x + 2?
What is the constant in the expression 3x + 2?
What is the coefficient in the expression 3x + 2?
What is the coefficient in the expression 3x + 2?
What is the variable in the expression 3x + 2?
What is the variable in the expression 3x + 2?
How many terms are in the expression 3mn - 2m + 5y + 3?
How many terms are in the expression 3mn - 2m + 5y + 3?
What is the coefficient of the expression 3 + 7(9) - m?
What is the coefficient of the expression 3 + 7(9) - m?
How many terms are in the expression 12(3) + 7 - (8*7) - 7 + 5a?
How many terms are in the expression 12(3) + 7 - (8*7) - 7 + 5a?
Is 40 - 37 + m = 101 an equation or an expression?
Is 40 - 37 + m = 101 an equation or an expression?
What is the constant of the expression 3m + x - 32x + 7?
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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