Algebra II - Semester 1 Study Guide

Front

What is the Greatest Common Factor (GCF) of 15n^3 and 25n^2?

Back

The GCF is 5n^2.

Front

Factor the quadratic expression x^2 + 9x - 36.

Back

The factored form is (x + 12)(x - 3).

Front

What is the result of the expression (5 - 6i)(5 + 6i)?

Back

The result is 61.

Front

Describe the transformation from the parent graph: Reflect over x-axis, translate right 3 units, translate down 4 units.

Back

This transformation involves reflecting the graph over the x-axis, shifting it 3 units to the right, and 4 units down.

Front

Simplify the expression 2^3.

Back

The simplified result is 8.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the quadratic formula?

Back

Front

What does it mean for a function to be quadratic?

Back

Front

What is the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.