Algebra 1A – Week 4 Classwork (Day 3: Wednesday, August 26)

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 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.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point on the line.

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 dashed or solid line, then shade the appropriate region based on the inequality.

Front

What does a dashed line indicate when graphing an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does a solid line indicate when graphing an inequality?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

What is the meaning of 'at most' in mathematical terms?

Back

'At most' means that a value can be equal to or less than a specified number.