Coll Alg Units 1, 2, 3 Review

Front

What is the solution to the equation |x + 7| = 12?

Back

x = 5, x = -19

Front

What is the equation of the graph that opens downwards and has a vertex at (1, 3)?

Back

f(x) = -(x - 1)² + 3

Front

What is the value of 12i²?

Back

-12

Front

If g(x) = x² + 6 and f(x) = 2x - 4, what is g(f(x))?

Back

4x² - 16x + 22

Front

Multiply the following matrices: [[20, 15, -10], [30, -5, 0]] and [[-20, 15, -10], [30, -5, 0]].

Back

Result: [[-20, 15, -10], [30, -5, 0]]

Front

What is the definition of an absolute value equation?

Back

An equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the 'i' represent in complex numbers?

Back

The imaginary unit, defined as i = √(-1).

Front

What is the process of function composition?

Back

Combining two functions where the output of one function becomes the input of another.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.