Alg 1 A Final Review from the Blueprint

Front

What is the standard form of a linear equation?

Back

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

Front

How do you determine if a point is a solution to a linear equation?

Back

To determine if a point (x, y) is a solution to a linear equation, substitute the x and y values into the equation. If the equation holds true, then the point is a solution.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

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

Back

To graph a linear equation in slope-intercept form (y = mx + b), identify the y-intercept (b) and the slope (m). Start at the y-intercept on the y-axis and use the slope to find another point.

Front

What is the slope of the line represented by the equation y = 5x - 3?

Back

The slope of the line is 5.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation, set y = 0 and solve for x.

Front

What is the meaning of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a distance-time graph, it indicates speed.