Questions and Answers
What is the Slope Intercept Form?
y = mx + b
What does rise/run represent?
y / x
What is another name for the y value? (Select all that apply)
What is a relation?
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What is a domain value?
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What are three ways to represent a function? (Select all that apply)
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What are four grouping symbols used in algebraic expressions? (Select all that apply)
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What is the value of a variable that makes an equation true?
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What is a number by itself called?
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What is a function?
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All functions pass the vertical line test.
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If a slope has an x value of 0, what is it?
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What is a synonym for slope? (Select all that apply)
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What is the formula for finding slope from a pair of points?
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What are the two criteria to be a proportion? (Select all that apply)
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What do parallel lines have to have in a set of equations?
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What do intersecting lines look like in a set of equations?
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Study Notes
Slope Intercept Form
- The formula for slope-intercept form is ( y = mx + b ), where ( m ) represents the slope and ( b ) the y-intercept.
Slope Calculation
- Slope is calculated as rise over run, represented by ( \frac{y}{x} ).
Y Value Terminology
- Other terms for the y value include range, rise, and output.
Definition of Relation
- A relation is defined as a set of ordered pairs, indicating the association between two sets of values.
Domain Value
- The domain value refers specifically to the x value in a relation.
Representing Functions
- Functions can be represented in three ways: as graphs, tables, or ordered pairs.
Grouping Symbols in Algebra
- Four types of grouping symbols in algebraic expressions include brackets, braces, fraction bars, and parentheses.
Solution of an Equation
- A solution is the value of a variable that satisfies an equation, making it true.
Constant Values
- A number that stands alone without a variable is referred to as a constant.
Definition of Function
- A function is characterized by having unique x values, meaning no x value can appear more than once.
Vertical Line Test for Functions
- All functions pass the vertical line test, which confirms that each input has exactly one output.
Undefined Slope
- A slope becomes undefined when the x value is 0, indicating a vertical line.
Slope Synonyms
- Slope can be called the rate of change, constant proportionality, unit rate, or simply slope.
Formula for Slope
- The formula to calculate the slope from a pair of points is ( \frac{y_1 - y_2}{x_1 - x_2} ).
Criteria for Proportions
- A proportion must fulfill two criteria: it must run through the origin and have a standard rate of change.
Characteristics of Parallel Lines
- Parallel lines in a set of equations have the same slope but different y-intercepts.
Characteristics of Intersecting Lines
- Intersecting lines feature different slopes and different y-intercepts in their equations.
Example of Identical Lines
- The equations ( 5y = 10x + 5 ) and ( y = 5x + 1 ) represent the same line, despite their different forms.
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Description
Test your knowledge of key concepts in pre-algebra related to slope, functions, and their representations. This quiz features essential definitions and terms that are foundational to understanding linear equations and relationships in mathematics. Perfect for beginners or those needing a refresher!
