Algebra Semester 1 Review

Front

What is the definition of a continuous variable?

Back

A continuous variable is a variable that can take on an infinite number of values within a given range. For example, the time it takes for a light bulb to burn out is continuous.

Front

What is the definition of a discrete variable?

Back

A discrete variable is a variable that can take on a finite number of values. For example, the number of students in a classroom is discrete.

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

Is the relation {(4,5), (4,-7), (4,2), (4,0), (4,9)} a function?

Back

No, because the x-value 4 is associated with multiple y-values.

Front

What is the slope of a line?

Back

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

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

Write the point-slope form of the line that passes through (-2, -1) with a slope of -3.

Back

y + 1 = -3(x + 2).

Front

What is the range of a relation?

Back

The range of a relation is the set of all y-values that correspond to the x-values in the relation.

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all x-values that are used in the relation.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation is a relation where each x-value is paired with a unique y-value, meaning no two different x-values share the same y-value.