La. Admin. Code tit. 28 § XI-9596

Current through Register Vol. 50, No. 11, November 20, 2024
Section XI-9596 - Algebra
A. Represent quantities and expressions that use exponents.
B. Use the formula to solve real world problems such as calculating the height of a tree after n years given the initial height of the tree and the rate the tree grows each year.
C. Understand and apply the Remainder Theorem.
D. Find the zeros of a polynomial when the polynomial is factored.
E. Prove polynomial identities by showing steps and providing reasons.
F. Illustrate how polynomial identities are used to determine numerical relationships. For example the polynomial identity (a + b)2 = a2 + 2ab + b2 can be used to rewrite (25)2 = (20 + 5)2 = 202 + 2(20*5) + 52.
G. Rewrite rational expressions, a(x)/b(x), in the form q(x) + r(x)/b(x) by using factoring, long division, or synthetic division.
H. Translate a real-world problem into a one variable linear equation.
I. Solve quadratic equations in one variable by simple inspection, taking the square root, factoring, and completing the square.
J. Solve systems of equations using the elimination method (sometimes called linear combinations).
K. Solve a system of equations by substitution (solving for one variable in the first equation and substitution it into the second equation).
L. Solve systems of equations using graphs.
M. Solve a system containing a linear equation and a quadratic equation in two variables graphically and symbolically.
N. 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.

La. Admin. Code tit. 28, § XI-9596

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.