2.2

A rate with a denominator of ONE when simplified.

• unit rate

• units

• starting value

• solution

The number or numbers that when substituted into an equation or inequality make the equation or inequality true. For example, x = 4 is a ________ to the equation 3x – 2 = 10 because 3x – 2 equals 10 when x = 4. A ________ to a two-variable equation is sometimes written as an ordered pair (x, y).

• units

• slope

• solution

• growth

A standard quantity (such as a centimeter, second, square foot, or gallon) that is used to measure and describe an object. A single object can be measured using a different _____ of measure, which will usually yield different results. For example, a pencil may be 80 mm long, meaning that it is 80 times as long as a unit of 1 mm. However, the same pencil is 8 cm long, so that it is the same length as 8 cm laid end-to-end. (This is because 1 cm is the same length as 10 mm.)

• starting value

• dimension

• slope

• unit

The point(s) where a graph intersects the x-axis. In two dimensions, the coordinates of the ___________ are (x, 0).

• slope triangle

• y-intercept

• x-intercept

• starting value

The point(s) where a graph intersects the y-axis. The ___________ of a graph is important because it often represents the starting value of a quantity in a real-world situation. When a linear equation is written in y = mx + b form, b tells us the ___________ of the graph.

• starting value

• y-intercept

• slope triangle

• slope

In certain situations, the dependent variable has a ______________ where the situation described in a problem begins. For example, if we are measuring the population of a town over time, that population will have some ______________ when we begin our measurements.

• starting value

• growth

• slope triangle

• y-intercept

One useful way to analyze a mathematical relationship is to examine how the output value grows as the input value increases. We can see this ______ on a graph of a linear relationship by looking at the slope of the graph.

• slope

• models

• growth

• variables

A ratio that describes how steep (or flat) a line is. _____ can be positive, negative, or even zero, but a straight line has only one _____. When the equation of a line is written in y = mx + b form, m is the _____ of the line. Some texts refer to _____ as the ratio of the “rise over the run”.

• slope triangle

• constant

• slope

• growth

A ______________ is a right triangle drawn on a graph of a line so that the hypotenuse of the triangle is part of the line. The vertical leg length is the change in the y-value (Δy); the horizontal leg length is the change in the x-value (Δx). We use the lengths of the legs in the triangle to calculate the slope ratio .

• slope

• y-intercept

• starting value

• slope triangle

A symbol used to represent one or more numbers. In this course, letters of the English alphabet are used as _________.

• parameters

• variables

• coefficients

• models