Math 3 EOC Review #1

Front

What is the result of multiplying \( (m+5)(m^2+4m-8) \)?

Back

The result is \( m^3 + 9m^2 + 12m - 40 \).

Front

How do you find the inverse of the function \( Q(x) = \frac{2x - 7}{4} \)?

Back

The inverse is \( Q^{-1}(x) = \frac{4x + 7}{2} \).

Front

What is the domain of a function?

Back

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

Front

If a function is graphed, how can you determine its domain?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

What is the formula to calculate the remaining amount of a substance after a certain percentage breaks down over time?

Back

The formula is \( A = A_0(1 - r)^t \), where \( A_0 \) is the initial amount, \( r \) is the decay rate, and \( t \) is the time.

Front

If 200 mg of ibuprofen breaks down by 30% each hour, how much is left after 3 hours?

Back

After 3 hours, 68.6 mg of ibuprofen will be left.

Front

What is the amplitude of the function \( y = 3\sin(7x) \)?

Back

The amplitude is 3.

Front

What does the amplitude of a sine function represent?

Back

The amplitude represents the maximum distance from the midline of the wave to its peak.

Front

What is the general form of a quadratic function?

Back

The general form is \( f(x) = ax^2 + bx + c \), where a, b, and c are constants.

Front

How do you determine the vertex of a quadratic function?

Back

The vertex can be found using the formula \( x = -\frac{b}{2a} \) and then substituting back to find the y-coordinate.