Ratio and Rate Vocabulary

Fill-in-the-blank practice flashcards covering fundamental vocabulary and definitions for ratios, rates, unit rates, proportions, function tables, coordinate planes, slope, and linear relationships.

A __________ is the comparison of two quantities of the same kind, or the relationship of one similar quantity to another.

ratio

Ratios can be written using a fraction bar, the word "to", or the ratio symbol __________ between the two values being compared.

":" (colon)

A __________ is the ratio between two related quantities in different units.

rate

A __________ describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

unit rate

A __________ is a structured table that displays the relationship (the rule) between inputs ($x$) and outputs ($y$) for a function.

function table

A __________ is a name we give to a statement that two ratios are equal, which can be written as two equal fractions or using a colon as $a:b = c:d$.

proportion

An __________ contains the coordinates of one point in the coordinate system, written in the form $(x, y)$.

ordered pair

In an ordered pair $(x, y)$, the first number corresponds to the __________ and the second corresponds to the $y$-coordinate.

$x$-coordinate

A __________ is a two-dimensional plane formed by the intersection of a vertical line called the $y$-axis and a horizontal line called the $x$-axis.

coordinate plane

On a coordinate plane, the perpendicular lines intersect each other at zero, and this point is called the __________.

origin

A linear relationship is __________ if it has constant change, forms a straight line, passes through the origin $(0, 0)$, and follows the equation $y = kx$ or $y = mx + b$ where $b = 0$.

proportional

A linear relationship is __________ if it does NOT pass through the origin $(0, 0)$ on a coordinate plane and follows the equation $y = mx + b$, where $b \neq 0$.

non-proportional

In the proportional relationship equation $y = kx$, the letter $k$ represents the __________.

constant of proportionality

To find the constant of proportionality ($k$) from the equation $y = kx$, the formula used is $k =$ __________.

$$\frac{y}{x}$$

__________ is the ratio of the rise over the run, or the change in vertical distance over the change in horizontal distance.

Slope

Given two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope ($m$) is calculated using the formula $m =$ __________.

$$\frac{y_2 - y_1}{x_2 - x_1}$$

A __________ is a rational expression that contains a fraction in its numerator, denominator, or both.

complex fraction

A __________ is a quantity having a fixed value of the ratio of two proportional quantities $x$ and $y$.

constant