Algebra 1 Unit 3 Graded Assessment

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

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

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

To convert, solve for y to isolate it on one side: y = (-A/B)x + (C/B).

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 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 fixed amount added to each term to get the next term in the sequence.

Front

What is the equation for a linear function that models a real-world situation?

Back

The equation typically takes the form y = mx + b, where m represents the rate of change and b represents the initial value.

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).