Math III EOC Review #4

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

How do you represent a system of equations for word problems?

Back

Identify variables for unknowns, write equations based on the problem statement, and ensure they relate to each other.

Front

What is the formula for the radius of a circle given its equation in standard form?

Back

For the equation (x-h)² + (y-k)² = r², the radius r is the square root of the constant on the right side.

Front

What is the significance of vertical asymptotes in rational functions?

Back

Vertical asymptotes indicate values of x where the function approaches infinity, typically where the denominator is zero.

Front

How do you find the zeros of a function from its graph?

Back

Zeros are the x-values where the graph intersects the x-axis.

Front

What does it mean for sinθ to be positive?

Back

Sinθ is positive in the first and second quadrants of the unit circle.

Front

What is the relationship between the coefficients of a polynomial and its zeros?

Back

The zeros of a polynomial are the values of x that make the polynomial equal to zero, and they relate to the factors of the polynomial.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

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.

Front

What is the standard form of a circle's equation?

Back

The standard form is (x-h)² + (y-k)² = r², where (h,k) is the center and r is the radius.