Alg Quarter 2 Study Guide (final)

Front

Simplify: (3x^4y^5)^2

Back

9x^8y^{10}

Front

What method is easier to use for solving equations when one equation is already solved for y?

Back

Substitution, because one equation is already solved for y.

Front

If an amount increases by $10 per year, what type of function is this?

Back

Linear

Front

What is the initial value of f(x)= a⋅b^x?

Back

a

Front

Write an exponential growth function for a painting that originally costs $1400 and increases by 9% each year.

Back

y=1400(1.09)^x

Front

What is the general form of a linear equation?

Back

y = mx + b

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

The y-intercept of the line.

Front

What is the formula for exponential growth?

Back

y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

How do you determine if a function is linear or exponential?

Back

A linear function has a constant rate of change, while an exponential function has a variable rate of change that increases or decreases multiplicatively.