NC math 1

Slope-intercept form of a line

𝑦=𝑚𝑥+𝑏y=mx+b (where 𝑚m is the slope and 𝑏b is the y-intercept).

Quadratic formula

𝑥=−𝑏±𝑏2−4𝑎𝑐2𝑎x=2a−b±b2−4ac​​ (used to solve quadratic equations).

Laws of exponents

𝑎𝑚×𝑎𝑛=𝑎𝑚+𝑛am×an=am+n, 𝑎𝑚𝑎𝑛=𝑎𝑚−𝑛anam​=am−n, (𝑎𝑚)𝑛=𝑎𝑚𝑛(am)n=amn, etc.

Factoring quadratic expressions

𝑎𝑥2+𝑏𝑥+𝑐ax2+bx+c can be factored into (𝑑𝑥+𝑒)(𝑓𝑥+𝑔)(dx+e)(fx+g) form.

Systems of Equations

Solving systems of linear equations using substitution or elimination methods.

Inequalities

Solving and graphing linear inequalities.

Function notation

𝑓(𝑥)f(x), 𝑔(𝑥)g(x), etc.

Graphing

Plotting points on the coordinate plane.