Alg 1: Semester 1 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot indicates that the value is included in the solution set, used with ≤ (less than or equal to) and ≥ (greater than or equal to).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation, set x = 0 and solve for y.

Front

What is the formula for slope between two points?

Back

The formula for slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the value), while '≥' means greater than or equal to (including the value).

Front

How do you graph the equation y = 2x - 3?

Back

To graph y = 2x - 3, start at the y-intercept (0, -3), then use the slope (2) to rise 2 units up and run 1 unit to the right.