Post-Thanksgiving Refresher

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

The slope 'm' can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero.

Front

What is the meaning of the inequality x < 4?

Back

The inequality x < 4 means that x can take any value less than 4.

Front

What does the inequality x > 2 represent on a number line?

Back

The inequality x > 2 represents all values greater than 2, shown as an open circle at 2 and a line extending to the right.

Front

What is the difference between 'and' and 'or' in inequalities?

Back

'And' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.

Front

How do you interpret the inequality x ≤ 3?

Back

The inequality x ≤ 3 means x can be 3 or any value less than 3.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it cannot be expressed as a ratio of rise over run.

Front

How do you factor the expression 5x² + 20x?

Back

To factor 5x² + 20x, you can take out the common factor: 5x(x + 4).