Core Ch. 2 Test Review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents the change in the dependent variable (y) for a unit change in the independent variable (x).

Front

How do you calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is sequence notation?

Back

Sequence notation is a way to express the terms of a sequence using a formula that defines the nth term of the sequence.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: t(n) = a + (n-1)d, where a is the first term and d is the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by, calculated as t(n) - t(n-1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you write an equation in slope-intercept form?

Back

An equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'decreased' indicate in a rate of change?

Back

The term 'decreased' indicates that the value of the dependent variable has gone down over the specified interval.

Front

How can you determine the number of tiles in a geometric figure?

Back

The number of tiles in a geometric figure can often be determined by identifying a pattern or formula that relates to the dimensions of the figure.