Mathematics Flashcard

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If the perimeter of a rectangle is 76 cm, what is the smallest possible value for one side if the other side is significantly larger?

Back

The smallest side can be calculated as follows: If one side is x, then the other side is (76/2 - x). The smallest side can be 7 cm.

Front

Back

The result is 27.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, | -6 | = 6.

Front

What is the formula for finding the measure of an angle in a triangle?

Back

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

Front

If angle x and angle y are supplementary, and angle x is 120°, what is angle y?

Back

Angle y = 180° - angle x = 60°.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Given a slope of -2 and a point (4, 6), how do you write the equation of the line?

Back

Using point-slope form: y - y1 = m(x - x1), we get the equation -2x + y = 14.