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Questions and Answers
What is a complex fraction?
What is a complex fraction?
What is the constant of variation in the equation y = kx?
What is the constant of variation in the equation y = kx?
k
Define constant rate of change.
Define constant rate of change.
The rate of change in a linear relationship.
The coordinate plane is where the x-axis and y-axis intersect.
The coordinate plane is where the x-axis and y-axis intersect.
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What is dimensional analysis?
What is dimensional analysis?
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What describes direct variation?
What describes direct variation?
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What are equivalent ratios?
What are equivalent ratios?
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A nonproportional relationship has a constant rate.
A nonproportional relationship has a constant rate.
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What is an ordered pair?
What is an ordered pair?
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What is the origin in a coordinate plane?
What is the origin in a coordinate plane?
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Define proportion.
Define proportion.
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What is a proportional relationship?
What is a proportional relationship?
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What is a quadrant?
What is a quadrant?
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Define rate.
Define rate.
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What is the rate of change?
What is the rate of change?
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What is slope?
What is slope?
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Define unit rate.
Define unit rate.
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What is a unit ratio?
What is a unit ratio?
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What is the x-axis?
What is the x-axis?
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What is the x-coordinate?
What is the x-coordinate?
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Define the y-axis.
Define the y-axis.
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What is the y-coordinate?
What is the y-coordinate?
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Study Notes
Key Vocabulary in Ratios and Proportional Reasoning
- Complex Fraction: A fraction that includes one or more fractions in either its numerator, denominator, or both.
- Constant of Variation: Denoted as k in the equation y = kx, indicating the constant factor in a direct variation.
- Constant Rate of Change: Refers to the consistent change rate in linear relationships, illustrating how one variable changes with another.
- Coordinate Plane: A two-dimensional space formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis), used for graphing points and equations.
- Dimensional Analysis: A method that involves tracking units throughout calculations to ensure proper dimensional consistency and conversion.
- Direct Variation: A relationship represented by the equation y = kx, where k is a non-zero constant, indicating a direct proportional relationship between x and y.
- Equivalent Ratios: Ratios that express the same relationship or proportion, such as 5:4 being equivalent to 10:8.
- Nonproportional: Describes the relationship between two ratios that do not maintain a constant ratio or rate of change.
- Ordered Pair: A pair of numbers (x-coordinate, y-coordinate) that identifies a specific point on the coordinate plane.
- Origin: The central point (0, 0) within the coordinate plane where the x-axis and y-axis intersect.
- Proportion: An equation that states two ratios are equivalent, often used to solve for unknown variables in ratio problems.
- Proportional: A characteristic of two ratios that have a consistent or constant rate of change.
- Quadrant: Each of the four sections created by the x-axis and y-axis on a coordinate plane, with each quadrant representing different sign combinations of coordinates.
- Rate: A specific kind of ratio that compares two measurements with different units, such as 60 miles per hour.
- Rate of Change: Reflects the variation of one quantity with respect to time, often expressed as a difference over a specific time period.
- Slope: The measure of steepness of a line, calculated as the ratio of the rise (change in y-coordinates) over the run (change in x-coordinates) between two points.
- Unit Rate: A special case of rate where the denominator simplifies to one unit, facilitating comparisons between different rates.
- Unit Ratio: A specific type of unit rate where the denominator is defined as one unit, simplifying the relationship between two quantities.
- X-axis: The horizontal component of the coordinate plane, where the y-coordinate is held constant.
- X-coordinate: The first value in an ordered pair, indicating the horizontal positioning in the coordinate plane.
- Y-axis: The vertical component of the coordinate plane, where the x-coordinate is held constant.
- Y-coordinate: The second value in an ordered pair, representing the vertical positioning in the coordinate plane.
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Description
This quiz covers key vocabulary from McGraw-Hill's Course 2 Chapter 1 on Ratios and Proportional Reasoning. Test your understanding of terms like 'complex fraction' and 'constant of variation' through flashcards. Perfect for students looking to enhance their math vocabulary and concepts.