Algebra I Semester 1 Finals Review

Front

What is the equation of a linear function?

Back

A linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented by the b in the equation y = mx + b.

Front

How do you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values are constant, the function is linear.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the growth factor in an exponential function?

Back

The growth factor is the base of the exponential function, which determines how much the function grows for each unit increase in x.

Front

How can you identify an exponential graph?

Back

An exponential graph shows a rapid increase or decrease and has a curved shape, unlike a straight line.

Front

What is the formula for calculating growth in a pattern?

Back

Growth can be calculated by finding the difference between consecutive terms in a sequence.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.