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Questions and Answers
What is the definition of 'solution'?
What is the definition of 'solution'?
- The product of numbers and variables
- The x-values of a relation/function
- A function with a degree of 2
- A value that makes an equation true (correct)
What does 'linear' refer to in a function?
What does 'linear' refer to in a function?
A function with a degree of 1 that forms a line.
Define 'quadratic' in terms of a function.
Define 'quadratic' in terms of a function.
A function with a degree of 2 that forms a parabola.
What characterizes an 'exponential' function?
What characterizes an 'exponential' function?
What is meant by a 'variable'?
What is meant by a 'variable'?
What is 'domain' in relation to functions?
What is 'domain' in relation to functions?
What does 'range' refer to in a function?
What does 'range' refer to in a function?
What is a 'term' in algebra?
What is a 'term' in algebra?
Define 'slope'.
Define 'slope'.
What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
What does 'inequality' mean?
What does 'inequality' mean?
What is 'exponential decay'?
What is 'exponential decay'?
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Study Notes
Algebra Vocabulary
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Solution: A value that satisfies an equation, making it true.
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Linear Function: Defined by a degree of 1 and represented graphically as a straight line.
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Quadratic Function: Characterized by a degree of 2, forming a parabolic shape on a graph.
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Exponential Function: Features the variable x as an exponent, leading to rapid growth or decay in value.
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Variable: An algebraic symbol (usually a letter) that signifies an unknown quantity in equations.
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Domain: Represents the set of possible x-values for a given relation or function.
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Range: Encompasses the set of possible y-values for a relation or function.
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Term: Consists of products of numbers and variables, combined by addition or subtraction operations.
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Slope: Expressed as the ratio of the vertical change (difference in y-values) to the horizontal change (difference in x-values), commonly referred to as "rise over run."
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Slope-Intercept Form: The standard linear equation format represented as y = mx + b, where m is the slope and b is the y-intercept.
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Inequality: A mathematical expression indicating that two quantities are not equal, represented by symbols like > or <.
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Exponential Decay: Expressed by the formula y = a(b)^x, indicating a decrease in value over time or as x increases, where a is the initial value and b is a base factor less than 1.
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