Winter Exam Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Solve for x: -2x + 4 = 5 - 3x

Back

x = 1

Front

What type of number is a repeating decimal?

Back

A repeating decimal is a rational number because it can be expressed as a fraction of two integers.

Front

What type of number is -3/1?

Back

-3/1 is an integer and also a rational number.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).

Front

What is the difference between an integer and a whole number?

Back

Whole numbers are non-negative integers (0, 1, 2, 3, ...), while integers include all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

What is the slope of the line represented by the equation y = 7x + 2?

Back

The slope of the line is 7.

Front

What does it mean for a number to be an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line is decreasing; for every 2 units it goes down, it goes 1 unit to the right.