Algebra 1 Semester 1 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, which is given by the formula m = (y2 - y1) / (x2 - x1).

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form y = mx + b.

Front

How can you determine the slope from two points?

Back

To find the slope from two points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1).

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or', to describe a range of values.

Front

How do you graph a compound inequality?

Back

To graph a compound inequality, shade the region that satisfies both inequalities on a number line.

Front

What does the equation x = a represent on a graph?

Back

The equation x = a represents a vertical line on the graph where all points have the x-coordinate equal to 'a'.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.