Algebra 2 Review After Summer Break

Front

What is the exponential (geometric) rule for a motorcycle worth $5000 that depreciates 6% each year?

Back

y = 5000(0.94)^x

Front

What is the first step to solve the equation x^2 + 18x = -80?

Back

Add 80 to both sides.

Front

What is the slope of the function y = \frac{1}{2}x + 3?

Back

1/2

Front

Which statement best describes a graph that does not pass the vertical line test?

Back

Not a function.

Front

What is the solution for x in the system: 3x + y = 22 and y = 3x - 2?

Back

4

Front

Define depreciation in the context of exponential functions.

Back

Depreciation is the decrease in value of an asset over time, often modeled by an exponential decay function.

Front

What is the general form of an exponential decay function?

Back

y = a(1 - r)^t, where a is the initial amount, r is the rate of decay, and t is time.

Front

How do you identify the slope from a linear equation in the form y = mx + b?

Back

The slope is represented by m.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0.