Review: Arithmetic Test

Front

What is the value of f(-3) if f(x) is represented by the graph?

Back

f(-3) = -3.

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 the sequence 5, 8, 11, ...?

Back

The common difference is 3.

Front

What is the 22nd term of the sequence 5, 8, 11, ...?

Back

The 22nd term is 68.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What is the explicit equation for the sequence 25, 21, 17, 13,...?

Back

The explicit equation is a_n = -4n + 29.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

What is the value of m(-3) if m(x) is a function?

Back

m(-3) = 3.

Front

What is the formula for the slope-intercept form of a line?

Back

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