FALL SEMESTER EXAM REVIEW ALGEBRA

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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 does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is a transformation in algebra?

Back

A transformation is an operation that moves or changes a shape or function in some way, such as translation, reflection, or rotation.

Front

What is the effect of translating a function down by k units?

Back

Translating a function down by k units subtracts k from the output value, resulting in a new function f(x) - k.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a point x = a, substitute a into the function and simplify.

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

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.