Algebra 1 Semester Exam/Benchmark Review Day 2

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It describes growth or decay processes.

Front

How do you determine the number of years for exponential growth?

Back

To find the number of years for exponential growth, use the formula f(x) = a * b^x, where 'f(x)' is the final amount, 'a' is the initial amount, 'b' is the growth factor, and 'x' is the number of years.

Front

What is the distance formula in coordinate geometry?

Back

Front

What does the inequality y < mx + b represent?

Back

The inequality y < mx + b represents a region below the line y = mx + b in a coordinate plane, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you check if a point is a solution to an inequality?

Back

To check if a point (x, y) is a solution to an inequality, substitute the x-value into the inequality and see if the resulting y-value satisfies the inequality.

Front

What does the function P(m) = 1000(2)^m represent?

Back

The function P(m) = 1000(2)^m represents the profit after 'm' months, where the profit doubles every month starting from an initial profit of 1000.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. It can be expressed as a_n = a_1 + (n-1)d, where 'd' is the common difference.

Front

How do you find the nth term of an arithmetic sequence?

Back

To find the nth term of an arithmetic sequence, use the formula a_n = a_1 + (n-1)d, where 'a_1' is the first term and 'd' is the common difference.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0 in the equation y = mx + b.

Front

What is the growth factor in an exponential function?

Back

The growth factor in an exponential function is the base 'b' in the function f(x) = a * b^x, which indicates how much the quantity increases for each unit increase in x.