Algebra 2 Mid Term Review

Front

What is the definition of a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.

Front

Simplify: -3i(4 + 2i)

Back

6 - 12i

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

1

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the 'a' in the vertex form of a quadratic function represent?

Back

The 'a' value determines the direction and width of the parabola: if a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables raised to whole number exponents and coefficients.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + x - 5?

Back

The degree is 3, which is the highest exponent of the variable.