Algebra Midterm Exam Review #2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of any point on the line.

Front

What does it mean for a number to be classified as a whole number?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What is an integer?

Back

Integers are whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

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 q is not zero.

Front

How do you solve an absolute value inequality like |x - a| < b?

Back

To solve |x - a| < b, split it into two inequalities: a - b < x < a + b.

Front

What is the solution to the inequality 3 - |5 - x| > 0?

Back

The solution is 2 < x < 8.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.