Alg 1 Semester Exam Review

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a point lies on the graph of a linear function?

Back

Substitute the x-coordinate of the point into the function and see if the resulting y-value matches the y-coordinate of the point.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how much y changes for a unit change in x.

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 by the value of y when x = 0.

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

How do you find the solution set for an inequality?

Back

To find the solution set for an inequality, graph the corresponding equation and determine the region that satisfies the inequality.

Front

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

What is the meaning of the expression z^{(a+b-c)}?

Back

This expression represents the result of combining the exponents of z according to the rules of exponents.

Front

How do you simplify the expression \frac{z^{-a} \cdot z^{-b}}{z^{-c}}?

Back

Using the properties of exponents, this simplifies to z^{(a+b-c)}.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.