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Slope-intercept form of a line

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Algebra

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1

Slope-intercept form of a line

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

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2

Quadratic formula

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

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3

Laws of exponents

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

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4

Factoring quadratic expressions

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

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5

Systems of Equations

Solving systems of linear equations using substitution or elimination methods.

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6

Inequalities

Solving and graphing linear inequalities.

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7

Function notation

𝑓(𝑥)f(x), 𝑔(𝑥)g(x), etc.

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8

Graphing

Plotting points on the coordinate plane.

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