Math 1 - Semester Review 1st Heiwig

Front

What is the formula for exponential growth?

Back

y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the number of time periods.

Front

How do you find the slope-intercept form of a linear equation?

Back

Convert the equation to the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

How do you simplify an exponential expression?

Back

Combine like bases by adding or subtracting their exponents.

Front

What is the y-intercept of the equation 2x + 4y = 12?

Back

The y-intercept is 3, found by setting x = 0.

Front

What is the growth rate in the equation y = 30,010(1.05)^x?

Back

The growth rate is 5% per year.

Front

How do you convert the equation 3x - 4y = 6 to slope-intercept form?

Back

y = (3/4)x - (3/2).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What is an exponential function?

Back

A function of the form f(x) = a * b^x, where 'a' is a constant and 'b' is a positive real number.