STAAR REVIEW SHEET Ch. 2 Simplify Distribute (×) then Combine (+ or - ) like terms IE) −3𝑥 − (2𝑥 − 4) + 6𝑥 − 9 + 𝑥 2 Ch. 3 Solve Get variable by itself by +/- and ×/÷ IE) −2𝑥 + 4 = −6 + 𝑥 Ch.4 𝑟𝑖𝑠𝑒 𝑦2−𝑦1 𝑟𝑢𝑛 𝑥2−𝑥1 Slope (m) Ch.6 Inequalities If you divide by NEGATIVE-FLIP If you don’t divide by a negative-don’t flip it < > open ≤ ≥ closed or STAT IT (−3,2) and (−1, −2) IE) 2𝑥 + 6 < −4 IE)4𝑥 − 𝑦 < −2 Ch.7 Solve a Find where they intersect -2nd trace, #5enter until it says intersection System 10𝑥 + 5𝑦 = 5 (2 equations) 2𝑥 − 3𝑦 = −3 Ch.8 Simplify Exponents Add/Subtract -MUST BE LIKE- Exponent: stay same IE) 𝑥 − 𝑥 IE) 𝑥 + 𝑥 2 − 3𝑥 Multiply- add exponents IE)−2𝑥 (−3𝑦)(−3𝑥)(2𝑦6 ) Divide -subtract exponents IE) −5𝑎3 𝑏5 𝑐 4 𝑑 6 25𝑎5 𝑏5 𝑐 2 𝑑 10 Product to a Power Write it out IE) (2𝑥𝑦 5 )3 Ch.9 Simplify *get rid of (parenthesis): Distribute then Combine like terms IE) (3𝑚 + 4) − (2𝑚2 − 6𝑚 + 5) IE)−5𝑎2 (4𝑎3 − 1) IE) (4𝑎 + 5)(7𝑎 − 6)2 Ch.10 Quadratics Quadratics –Standard Form: 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 𝑦 The easiest way to solve a Quadratic is the X-intercepts-check with TABLE (must have 0) To Graph X= 𝑦 = 𝑥 2 + 2𝑥 − 3 Last Minute Reminders---LOOK AT THIS RIGHT BEFORE THE TEST TO REVIEW Parallel lines - same slope quadratic-x-int, roots, zeroes, solutions ALL SAME THING Parent Functions-parents are positive!! Linear: 𝑦 = 𝑥 (line) Domain: Range: x-independent y- dependent Quadratic: 𝑦 = 𝑥 2 (parabola) Functions: X can’t repeat or vertical line test Function Notation: f(x) = y Direct Variation: line that goes thru 0 Constant of Variation: the slope Percent’s-change to a decimal and multiply Systems-find the intersection If you don’t know how to do a problem try to Proportion (if you have a comparison) y= and look in the table x-intercept after it equals 0 INTERSECTION –system STAT FORMULA CHART- don’t forget you have one!! Graph it—don’t forget you have graph paper PLUG IN – the answer choices D=rt (dirt) Don’t use a table for inequalities(look at the shade) Sequence of #’s –y= Divide by a negative-flip it < is less than----shade to the left or down > is greater than---shade to the right or up < > open ≤ ≥ closed Multiply-add exponents Divide-subtract exponents (−𝟑)𝟐 𝒊𝒔 𝒈𝒐𝒐𝒅 −𝟑𝟐 not good Less than---flip the order Slope ----rate, per, what it is changing by Y-intercept—the fixed, initial, flat fee, starts Vertical lines are X= Less slope-less steep More slope- more steep Is at least ≥ Is at most ≤ Less than- flip around word