Ratios and Proportional Reasoning: Course 2 Chapter 1

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Questions and Answers

What is a complex fraction?

A fraction where both the numerator and denominator contain fractions (correct)

A fraction that is simplified

A fraction with a whole number in the numerator

A fraction with decimals

What is the constant of variation in the equation y = kx?

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.

True (A) Signup and view all the answers

What is dimensional analysis?

The process of carrying units throughout a computation. Signup and view all the answers

What describes direct variation?

An equation of the form y = kx (A) Signup and view all the answers

What are equivalent ratios?

Two ratios that have the same value. Signup and view all the answers

A nonproportional relationship has a constant rate.

False (B) Signup and view all the answers

What is an ordered pair?

(x-coordinate, y-coordinate) Signup and view all the answers

What is the origin in a coordinate plane?

(0, 0) Signup and view all the answers

Define proportion.

An equation stating that two ratios are equivalent. Signup and view all the answers

What is a proportional relationship?

The relationship between two ratios with a constant rate. Signup and view all the answers

What is a quadrant?

One of four regions in the coordinate plane. Signup and view all the answers

Define rate.

The ratio of two measurements having different units of measure. Signup and view all the answers

What is the rate of change?

The change in a quantity over time. Signup and view all the answers

What is slope?

The ratio of the change in the y-coordinates to the change in the x-coordinates. Signup and view all the answers

Define unit rate.

A rate with a denominator of 1. Signup and view all the answers

What is a unit ratio?

A unit rate where the denominator is one unit. Signup and view all the answers

What is the x-axis?

The horizontal number line on a coordinate plane. Signup and view all the answers

What is the x-coordinate?

The first number in an ordered pair. Signup and view all the answers

Define the y-axis.

The vertical number line on a coordinate plane. Signup and view all the answers

What is the y-coordinate?

The second number in an ordered pair. Signup and view all the answers

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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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.