Honors Algebra 2 Semester 1 Review

Front

What is the product of (3i)(-2+4i)?

Back

-12 - 6i

Front

When solving a system of equations by elimination, what do you multiply the second equation by to eliminate y if the first equation is 2y + 3x = 6 and the second is y - 2x = 4?

Back

-2

Front

What is the product of (3 - 2i) and (7 + 6i)?

Back

33 + 4i

Front

How do you write the domain of a function in interval notation?

Back

The domain is written as a range of values, for example, [-4, 6].

Front

Is (x - 7) a factor of (x^2 - 5x + 14)?

Back

No

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.

Front

What is the formula for multiplying two complex numbers (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i.

Front

What does it mean for a number to be a factor of a polynomial?

Back

A number is a factor of a polynomial if the polynomial can be divided by that number without leaving a remainder.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant determines the nature of the roots of the quadratic equation: if positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.

Front

How do you find the domain of a function given its graph?

Back

The domain consists of all the x-values for which the function is defined, typically represented as the horizontal extent of the graph.