Algebra 1 Practice Test: End of Fall 2024

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by the letter m.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the range of a function?

Back

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

Front

What does vertical stretching of a function mean?

Back

Vertical stretching occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What does vertical compression of a function mean?

Back

Vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What is a linear parent function?

Back

The linear parent function is the simplest form of a linear function, represented by f(x) = x.

Front

How do you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and y-intercept, then use the slope-intercept form y = mx + b.

Front

What is a transformation in mathematics?

Back

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