Algebra 2 Final

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Front

Convert the logarithmic equation log₂32 = 5 into exponential form.

Back

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = -\frac{1}{5}x + 8?

Back

The slope of a line perpendicular to this line is 5 (the negative reciprocal of -\frac{1}{5}).

Front

How do you find the distance between the points (0, 10) and (12, 1)?

Back

Front

What is a solution to the system of inequalities x + 2y ≥ 4 and 3x − 2y < 4?

Back

The point (2, 2) is a solution to the system.

Front

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

Back

A linear equation in slope-intercept form is expressed as: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What is the formula for the midpoint between two points (x1, y1) and (x2, y2)?

Back

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 the quadratic formula used to find the roots of a quadratic equation ax^2 + bx + c = 0?

Back