(Pentathlon)Math Section 3.1 - 3.5

Front

Find the slope of the line passing through the points (-2, -4) and (3, 5).

Back

Slope = (y2 - y1) / (x2 - x1) = (5 - (-4)) / (3 - (-2)) = 9/5.

Front

What is the result of the union of sets {1, 2, 3} and {3, 4, 5}?

Back

Union of sets A and B is the set of elements that are in A, in B, or in both. Result: {1, 2, 3, 4, 5}.

Front

Which of the following is an example of a set? {squirrel, frog, cat}, (1, 2, 3), [apple, orange],

Back

A set is a collection of distinct objects, considered as an object in its own right. Example: {squirrel, frog, cat}.

Front

What is the common foundation of all mathematical disciplines?

Back

Algebra is considered the common foundation of all mathematical disciplines.

Front

Identify the slope and y-intercept of the line y=5x+8.

Back

Slope = 5, Y-intercept = 8.

Front

What is the formula to calculate the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Define a set in mathematics.

Back

A set is a collection of distinct objects, which can be numbers, letters, or other elements.

Front

What does the union of two sets represent?

Back

The union of two sets A and B is the set of elements that are in A, in B, or in both.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.