Hon Alg 2: Semester 1 Practice Final

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4). This is found by identifying h and k from the vertex form.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

Solve the system of equations by elimination: -x + y = -13 and -8x - 4y = -8.

Back

The solution is (5, -8).

Front

What does the absolute value equation |6 - 2k| = 18 represent?

Back

It represents two equations: 6 - 2k = 18 and 6 - 2k = -18.

Front

What are the solutions to the equation |6 - 2k| = 18?

Back

The solutions are k = -6 and k = 12.

Front

How can you determine if (x - 3) is a factor of the polynomial 3x³ + 10x² - x - 12?

Back

Use synthetic division or the Remainder Theorem. If the remainder is 0, then (x - 3) is a factor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).

Front

What is a feasible region in the context of inequalities?

Back

A feasible region is the set of all possible points that satisfy a system of inequalities.

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number without leaving a remainder, while a multiple is the product of a number and an integer.