La. Admin. Code tit. 28 § XI-9591

Current through Register Vol. 50, No. 8, August 20, 2024

Section XI-9591 - Algebra

A. Factor a quadratic expression.

B. Understand the definition of a polynomial.

C. Understand the concepts of combining like terms and closure.

D. Add, subtract, and multiply polynomials and understand how closure applies under these operations.

E. Find the zeros of a polynomial when the polynomial is factored.

F. Translate a real-world problem into a one variable linear equation.

G. Solve multi-variable formulas or literal equations, for a specific variable.

H. Transform a quadratic equation written in standard form to an equation in vertex form (x-p)=q^2 by completing the square.

I. Derive the quadratic formula by completing the square on the standard form of a quadratic equation.

J. Solve quadratic equations in one variable by simple inspection, taking the square root, factoring, and completing the square.

K. Solve systems of equations using the elimination method (sometimes called linear combinations).

L. Solve a system of equations by substitution (solving for one variable in the first equation and substitution it into the second equation).

M. Solve systems of equations using graphs.

N. Understand that all solutions to an equation in two variables are contained on the graph of that equation.

O. Explain why the intersection of y = f(x) and y = g(x) is the solution of the equation f(x) = g(x) for any combination of linear or exponential. Find the solution(s) by: Using technology to graph the equations and determine their point of intersection, Using tables of values, or Using successive approximations that become closer and closer to the actual value.

P. Graph the solutions to a linear inequality in two variables as a half-plane, excluding the boundary for non-inclusive inequalities.

Q. Graph the solution set to a system of linear inequalities in two variables as the intersection of their corresponding half-planes.

La. Admin. Code tit. 28, § XI-9591

Promulgated by the Board of Elementary and Secondary Education, LR 43924 (5/1/2017).

AUTHORITY NOTE: Promulgated in accordance with R.S. 17:24.4.