Fall Semester Review Honors

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line from its equation?

Back

The slope (m) of a line in the equation y = mx + b is the coefficient of x. It represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, it is represented by b.

Front

What is the formula for calculating probability?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes: P(E) = Number of favorable outcomes / Total outcomes.

Front

What is a survey in statistics?

Back

A survey is a method of collecting data by asking people questions to gather information about their opinions, behaviors, or characteristics.

Front

How do you calculate combinations?

Back

Combinations are calculated using the formula: C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

Front

What does it mean if two events are independent in probability?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not. For example, choosing 2 out of 3 items (A, B, C) as AB is different from BA in permutations but the same in combinations.

Front

What is the sum of angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

How do you determine the number of students surveyed?

Back

The number of students surveyed can be determined by analyzing the data collected from the survey responses.