BHS 24-25 Algebra 1 Fall Semester Final Review

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

If y = 39 when x = 3, what is the value of y when x = 2 in a direct variation?

Back

y = 26

Front

How do you graph the inequality x - y ≥ 2?

Back

To graph x - y ≥ 2, first graph the line x - y = 2 (dashed line) and shade above the line.

Front

What does the graph of y = -3 look like?

Back

The graph of y = -3 is a horizontal line that crosses the y-axis at -3.

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 slope of the line through the points (2, -7) and (-1, 6)?

Back

The slope is -13/3.

Front

What equation describes all points on a horizontal line that passes through the point (-1, 5)?

Back

The equation is y = 5.

Front

What is the definition of a horizontal line in terms of its equation?

Back

A horizontal line has the equation y = b, where b is a constant.

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is a constant.