Algebra 1 semester 1 exam

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 between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What is the equation of a horizontal line that passes through the point (3, -1)?

Back

The equation is y = -1.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

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

Front

Given f(x) = -4x - 5, what is f(1)?

Back

f(1) = -4(1) - 5 = -9.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

How do you evaluate g(x) = 3 - x at x = -4?

Back

g(-4) = 3 - (-4) = 3 + 4 = 7.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x) that you control, while the dependent variable is the output (y) that depends on the input.