Algebra Honors Semester 1 Final Exam Review

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the slope between two points?

Back

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

Front

What does 'a number increased by eighteen' mean in algebraic terms?

Back

It means n + 18, where n is the number.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality shows all the solutions that satisfy the inequality on a number line or coordinate plane.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

How do you write 'x < 8' in interval notation?

Back

(-∞, 8) represents all numbers less than 8.

Front

What is the meaning of the slope in a graph?

Back

The slope indicates the steepness of a line and the direction it goes; a positive slope rises, while a negative slope falls.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.