Algebra 1 Semester 1 Review Part 1

Front

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

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a system of equations to have no solution?

Back

A system has no solution when the lines are parallel and never intersect.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

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

Back

To convert Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, indicating how much y changes for a unit change in x.

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 y = mx + b.

Front

How can you determine if a point lies on a line represented by an equation?

Back

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

Front

What is an inequality in algebra?

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

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a solid line (if ≤ or ≥) or dashed line (if < or >) and shade the appropriate region.