EOC Algebra Review

Front

Which expression is equivalent to (7x^3)^2 (x^8)^(1/2)?

Back

49x^10

Front

What is the solution set of y ≤ -4x represented graphically?

Back

The graph is a line with a negative slope, shaded below the line.

Front

State whether the equation f(x) = 5 • 0.3^x represents exponential growth, exponential decay, or neither.

Back

Exponential Decay since 0 < b < 1.

Front

What function can best model the height of a projectile launched into the air?

Back

h(t) = -4.9t^2 + 295t + 0.6

Front

What type of function is y = a(b)^x?

Back

Exponential

Front

What is the power rule for exponents?

Back

If a is a non-zero number and n is a real number, then a^n * a^m = a^(n+m).

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does the vertex of a parabola represent in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the difference between a rational function and a polynomial function?

Back

A rational function is the ratio of two polynomials, while a polynomial function is a sum of terms with non-negative integer exponents.