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Questions and Answers
Which of the following best describes a 'variable' in algebraic terms?
Which of the following best describes a 'variable' in algebraic terms?
- The result obtained after solving an equation.
- A fixed numerical value in an equation.
- A number that multiplies a variable.
- A symbol representing an unknown numerical value. (correct)
An 'equation' is defined as a mathematical statement without an equal sign.
An 'equation' is defined as a mathematical statement without an equal sign.
False (B)
In the algebraic expression $3x^2 + 5y - 7$, what is the coefficient of the $x^2$ term?
In the algebraic expression $3x^2 + 5y - 7$, what is the coefficient of the $x^2$ term?
3
A single number, a variable, or the product of a number and one or more variables is known as a ________.
A single number, a variable, or the product of a number and one or more variables is known as a ________.
Match the following algebraic components with their definitions:
Match the following algebraic components with their definitions:
Identify the 'constant' in the following expression: $4x + 9y - 5$
Identify the 'constant' in the following expression: $4x + 9y - 5$
According to the definitions, $5x + 3$ is an example of an equation.
According to the definitions, $5x + 3$ is an example of an equation.
In the equation $y = 5x + 3$, which symbol represents the variable?
In the equation $y = 5x + 3$, which symbol represents the variable?
The ______ is the numerical factor in a term that contains variables.
The ______ is the numerical factor in a term that contains variables.
Match the following algebraic examples with their correct classification:
Match the following algebraic examples with their correct classification:
Which of the following expressions contains three terms?
Which of the following expressions contains three terms?
The expression $a + b = c$ is an equation because it includes an equal sign.
The expression $a + b = c$ is an equation because it includes an equal sign.
In algebraic terms, what differentiates an 'expression' from an 'equation'?
In algebraic terms, what differentiates an 'expression' from an 'equation'?
In the expression $9x^2 - 4x + 7$, the term $-4x$ includes a coefficient of ______.
In the expression $9x^2 - 4x + 7$, the term $-4x$ includes a coefficient of ______.
Match each part of the expression $5x^2 - 3x + 8 = 0$ with its correct description:
Match each part of the expression $5x^2 - 3x + 8 = 0$ with its correct description:
Which of the following illustrates a variable correctly?
Which of the following illustrates a variable correctly?
In algebraic terms, $4(a + b)$ is referred to as a term.
In algebraic terms, $4(a + b)$ is referred to as a term.
What is the role of the coefficient in the term $7y$?
What is the role of the coefficient in the term $7y$?
An algebraic expression is a statement ______ an equal sign.
An algebraic expression is a statement ______ an equal sign.
Match the equation/expression with the identified part: $9x^2 + 3 = 21$
Match the equation/expression with the identified part: $9x^2 + 3 = 21$
Flashcards
Variable
Variable
A symbol, usually a letter, representing an unknown numerical value.
Term
Term
A single number, a variable, or the product of a number and variables.
Coefficient
Coefficient
A number that multiplies a variable in an algebraic expression.
Expression
Expression
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Equation
Equation
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Study Notes
- Variable defined as a symbol (usually a letter) representing an unknown or unspecified numerical value.
- Term defined as a single number, a variable, or the product of a number and one or more variables.
- Coefficient defined as a number that multiplies a variable or another in an algebraic expression.
- Expression defined as a statement with an equal sign.
- Equation defined as a statement without an equal sign.
Example Equation
52x^2 - 9x + 36 = 7m + 82used to illustrate equation components.52x^2 - 9x + 36is an expression.7m + 82is also an expression.xandmare variables.-9xis a term.7is a coefficient.82is a constant.
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