Algebra 2 - SOL Review

Front

Evaluate the infinite geometric series: 3 - 2 + 4/3 - 8/9 + ...

Back

The sum of the series is 9/5.

Front

Factor 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

Solve by using a method of your choice: k² − 12k + 23 = 0

Back

The solutions are {6 + √13, 6 - √13}.

Front

Find the solution of the system of equations: y = 2x + 6 and y = -x + 3

Back

The solutions are (3,0) and (7,4).

Front

What are the solutions to the graphed system: y = 2x - 2 and y = -x + 1?

Back

The solutions are (0,-2) and (3,1).

Front

What is the formula for the sum of an infinite geometric series?

Back

S = a / (1 - r), where a is the first term and r is the common ratio.

Front

Define a geometric series.

Back

A geometric series is the sum of the terms of a geometric sequence, where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of one or more monomials, while a monomial is a single term.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.