Algebra 1 Semester 1 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

What is the value of any number raised to the power of zero?

Back

Any number raised to the power of zero is always 1.

Front

What is the standard form of a linear function?

Back

The standard form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you evaluate a function at a given point?

Back

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

Front

What is the solution for y in the equation -4x + 2y = 16?

Back

y = 2x + 8.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has a constant rate of change.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation f(x) = mx + b.

Front

How do you find the slope from 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 difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

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.