2021 Fall Semester Exam Review #3

Front

What is an arithmetic sequence?

Back

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

Front

How do you find the common difference in an arithmetic sequence?

Back

To find the common difference, subtract any term from the subsequent term. For example, in the sequence 2, 5, 8, the common difference is 5 - 2 = 3.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

How do you write an equation to represent savings over time?

Back

To represent savings over time, use the equation: Total Savings = Initial Amount + (Weekly Savings * Number of Weeks).

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you calculate the slope between two points?

Back

The slope (m) between two points (x_1, y_1) and (x_2, y_2) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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, indicating the value of y when x = 0.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.