Algebra 2 Final Exam Review

Front

Determine the number of solutions to a linear-quadratic system.

Back

A linear-quadratic system can have 0, 1, or 2 solutions depending on the intersection of the linear and quadratic graphs.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Find the difference: (3 - 2x + 2x^2) - (4x - 5 + 3x^2)

Back

The difference is -x^2 - 6x + 8.

Front

Factor completely: 4x^2 - 121

Back

The complete factorization is (2x + 11)(2x - 11).

Front

Divide x^4 + x^3 + 2x^2 + x - 1 by (x + 1)

Back

The result of the division is x^3 + 2x - 1.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

Explain the concept of factoring in algebra.

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.