Algebra II Exam Review

Flashcards based on Algebra II lecture notes to help students review for the exam.

What is the first step in solving a system of equations?

Isolate one variable in one of the equations.

What trigonometric functions can be calculated from a right triangle?

Sine, Cosine, and Tangent.

What do you need to do to the expression to factor completely?

Find two binomials that multiply together to equal the original expression.

What is decomposing a vector?

Breaking it down into its horizontal (x) and vertical (y) components.

What is the process to solve ?

Isolate the variable by performing inverse operations on both sides of the equation.

How do you reflect a graph across the x-axis?

Multiply the function by -1.

What is the purpose of simplifying an expression?

To reduce it to its simplest form by combining like terms and performing operations.

What does vertically shifting mean?

Moving the graph up or down along the y-axis.

What does horizontally shifting mean?

Moving the graph left or right along the x-axis.

In probability, what does "without replacement" mean?

That once an item is drawn, it is not put back into the pool of items.

What is the vertex form of a quadratic function?

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

When does a quadratic equation have no real solutions?

When the discriminant (b^2 - 4ac) is negative.

What is the geometric sequence explicit formula?

an = a1 * r^(n-1), where a1 is the first term and r is the common ratio.

What is the product rule for exponents?

xm * xn = xm+n

What is the domain of a function?

The set of all possible input values (x) for which the function is defined.

What is factoring by grouping?

A method used to factor polynomials with four or more terms

What is an interval Notation?

A way to represent a set of real numbers using intervals.

How to simplify expressions with positive exponents?

Use the rules of exponents to eliminate negative exponents

What is a recursive formula?

A formula that defines a sequence by relating each term to the preceding terms.