EOC Review #1

Front

Is (0,0) a solution to the system?

Back

Yes, (0,0) is a solution.

Front

What is the result of (2x^3y)^6?

Back

64x^18y^6

Front

If a car is worth $15,000 and depreciates at 8% per year, what is its value after 7 years?

Back

$8367.70

Front

How many solutions are there in the system of equations?

Back

No Solution

Front

Which point is a solution to the system: x + 2y ≥ 4 and 3x − 2y < 4?

Back

(2, 2)

Front

What is the definition of a solution to a system of equations?

Back

A solution is a set of values that satisfy all equations in the system.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the formula for exponential decay?

Back

V(t) = V_0 * e^(-kt), where V_0 is the initial value, k is the decay constant, and t is time.

Front

How do you calculate the value of an investment after depreciation?

Back

Value = Initial Value * (1 - Depreciation Rate)^Years.

Front

What is the significance of the point (2, 2) in the context of the given system of equations?

Back

It satisfies both inequalities in the system.