Algebra 1 Semester 1 Review

Front

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

Back

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

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

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.

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 difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the appropriate region based on the inequality sign.

Front

What does the notation 'y < mx + b' indicate?

Back

It indicates that the values of y are less than the values of the line represented by the equation y = mx + b.

Front

What is the significance of the vertical line x = a?

Back

The vertical line x = a represents all points where the x-coordinate is equal to a, and it is a vertical line on the graph.

Front

How do you determine if a point (x, y) lies on a line given by an equation?

Back

Substitute the x-value into the equation and see if the resulting y-value matches the y-coordinate of the point.