Unit 1: Quantities and Modeling and Unit 2: Understanding Functions

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Algebra

Academic Workshop

9th

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32 Terms

1
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constant
A value that does not change
A value that does not change
2
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Variable
A symbol used to represent a quantity that can change
A symbol used to represent a quantity that can change
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Coefficient
A number is multiplied by a variable in an algebraic expression.
A number is multiplied by a variable in an algebraic expression.
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algebreic expression
A combination of variables, numbers, and at least one operation.
A combination of variables, numbers, and at least one operation.
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ratio
A comparison of two quantities by division
A comparison of two quantities by division
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proportion
an equation that states that two ratios are equal
an equation that states that two ratios are equal
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scale
the ratio of any length in a scale drawing or scale model to the corresponding actual length
the ratio of any length in a scale drawing or scale model to the corresponding actual length
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scale drawing
a drawing that is the same shape as the object it represents
a drawing that is the same shape as the object it represents
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scale model
a model used to represent an object that is too large or too small to be built at the actual size
a model used to represent an object that is too large or too small to be built at the actual size
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rate
A ratio that compares two quantities measured in different units
A ratio that compares two quantities measured in different units
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conversion factor
a ratio of equivalent measurements
a ratio of equivalent measurements
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numerical expression
An expression that contains only numbers and operations
An expression that contains only numbers and operations
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equivalent expressions
Expressions with the same value
Expressions with the same value
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Literal Equations
equations that contain two or more variables and sometimes no numbers at all
equations that contain two or more variables and sometimes no numbers at all
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compound statement
two or more statements joined by the word "and" or "or"
two or more statements joined by the word "and" or "or"
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intersection
the point at which two lines or roads meet and cut across each other
the point at which two lines or roads meet and cut across each other
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union
combined region, of the simple inequality graphs
combined region, of the simple inequality graphs
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less than
Less than is used to compare two numbers when the first number is smaller than the second number.
Less than is used to compare two numbers when the first number is smaller than the second number.
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less than or equal to
≤
≤
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more than
>
>
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more than or equal to
greater than or equal to
greater than or equal to
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Domain
input, x value, independent variable
input, x value, independent variable
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Range
output, y value, dependent variable
output, y value, dependent variable
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function notation
A list or sentence containing the values that represent the domain or range of a function
A list or sentence containing the values that represent the domain or range of a function
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relation
any set of ordered pairs
any set of ordered pairs
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function
a relation in which each element of the domain is paired with exactly one element of the range
a relation in which each element of the domain is paired with exactly one element of the range
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verticle line test
draw a vertical line anywhere(everywhere) if it crosses the graph in one place, the graph is a function
draw a vertical line anywhere(everywhere) if it crosses the graph in one place, the graph is a function
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function machine
An imaginary machine used in MATHEMATICS to change numbers according to a given rule.
An imaginary machine used in MATHEMATICS to change numbers according to a given rule.
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independent variable
a variable (often denoted by x ) whose variation does not depend on that of another.
a variable (often denoted by x ) whose variation does not depend on that of another.
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dependent variable
a variable (often denoted by y ) whose value depends on that of another.
a variable (often denoted by y ) whose value depends on that of another.
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function rule
an equation that describes a function
an equation that describes a function
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function (graph)
Every x goes to only one y. A graph passes the vertical line test.
Every x goes to only one y. A graph passes the vertical line test.