2nd Nine Weeks Assignment #8: First Semester Exam Review Alg 1

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 convert the slope-intercept form to standard form?

Back

To convert y = mx + b to standard form Ax + By = C, rearrange the equation to isolate all terms on one side.

Front

What is the definition of a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Given the points (2, 12) and a slope of 2, how do you find the equation of the line?

Back

Use the point-slope form: y - y1 = m(x - x1). Plug in (2, 12) and m = 2.

Front

What is the standard form of the equation of a line with slope 2 passing through (2, 12)?

Back

The standard form is 2x - y = -8.

Front

What is the vertical line test?

Back

The vertical line test determines if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

What is the solution to the inequality 7 - (4 - x) ≤ 3x + 5?

Back

The solution is x ≥ -1.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

How do you determine if an ordered pair can be added to a function?

Back

Check if the x-value of the new ordered pair already exists in the function's set of ordered pairs.

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).