Algebra 2 Semester Test (Practice)

Front

What is the product of (3 + 8i) and (-2 - i)?

Back

2 - 19i

Front

What is the equation of the absolute value function that shifts up by 4 units?

Back

f(x) = |x| + 4

Front

What does i^2 equal?

Back

-1

Front

Write the equation of a line PARALLEL to y = -\frac{5}{2}x + 10 that passes through the point (3, 1).

Back

y = -\frac{5}{2}x + \frac{17}{2}

Front

Solve the equation x^2 - 6x + 4 = 0.

Back

3 \pm \sqrt{5}

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 quadratic formula?

Back

The quadratic formula is x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.

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.