FLASHCARD #4 MIX MP 2 (before thanksgiving break)

Front

What is the slope of a line?

Back

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

Front

Find the slope of the line given the points (2, 3) and (4, 5).

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (5 - 3) / (4 - 2) = 1.

Front

What is the solution to the equation 3x + 2 = 44?

Back

To solve for x, subtract 2 from both sides: 3x = 42. Then divide by 3: x = 14.

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce figures.

Front

If a shape is enlarged by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the shape are multiplied by 2, making the shape twice as large.

Front

What is the solution to the equation 5x + 12 = -13?

Back

To solve for x, subtract 12 from both sides: 5x = -25. Then divide by 5: x = -5.

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

How do you determine if two trapezoids are similar?

Back

Two trapezoids are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What does it mean for an equation to be undefined?

Back

An equation is undefined when it does not have a solution, often due to division by zero or contradictory statements.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).