Roots Math Roots Math Math Math Math Math Roots Math Roots Math magnanimous = generous anima = life, spirit animal, animate, pusillanimous, unanimous, inanimate Formula/Concept: Transformations of Functions Correct answer: y = f(x – 1) – 2 The graph is shifted down two units, which turns y = f(x) into y = f(x) – 2. The graph is then shifted to the right one unit, which turns y = f(x) – 2 into y = f(x – 1) – 2. Common mistake: y = f(x – 2) – 1 This is the result if you mistakenly reverse the vertical and horizontal shifts. definition of the word definition of the root examples of words Formula/Concept: Parallel lines and alternate interior, correspond- ing, and alternate exterior angles. Correct answer: 114 Angle ZYX = 66° and angle ZYW = 106° be- cause they form a “Z”. b = 40° because 106° – 66° = 40°. Angle VYW = 74° because 180 – 106 = 74°. c = 74° because of correspond- ing angles. b + c = 40° + 74° = 114°. Mistake: 80°. If you think b and c are 40. Formula/Concept: Volume = lwh Surface area (SA) = 2lw + 2lh + 2wh Correct answer: 198 volume = lwh 162 = (9)(6)(h) Divide by 54: 3 = h SA = 2lw + 2lh + 2wh Plug in and SA = 2(9)(6) + 2(9)(3) + 2(6)(3) solve: Simplify: SA = 108 + 54 + 36 = 198 Common mistake: 99 This is the result if you forget to count the 3 un- shown faces when calculating the surface area. Formula/Concept: Numerical Reasoning Correct answer: C Assign approximate values to the points: A = –1.25; B = –0.50; C = –0.35; D = .35; E = .70 (E)(B) = Plug in values: (0.70)(–0.50) = –0.35 Common mistake: D This is the result if you forget that (.7)(–.5) is negative. n p W x Y V 40 ° 66 ° 74 ° Z m l 66 ° 106 ° Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots eloquent immoral sacrosanct propensity anthropology peripatetic Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots propensity = a tendency pro = forward, forth procrastinate, propagate, profound, provocative, prolific, provoke, prophesy, prophetic, project, promote anthropology = the study of humankind anthropos = humankind misanthrope, philanthropist, anthropocentric, anthropomorphic peripatetic = wandering from place to place peri = around pericardium, peristalsis, perambulate, periscope, peripheral, period eloquent = fluent in speech loqu = to talk loquacious, ventriloquist, elocution, circumlocution, interlocution immoral = lacking morals im, in, ir = not immodest, immaterial, immature, immeasurable, imperceptible, irresponsible, intractable, impregnable Caution: inflammable = easily ignited invaluable = priceless infamous = famous for bad deeds sacrosanct = regarded as sacred sanctus = holy sanctimonious, sanction, sanctify, sanctuary Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots abject anarchy tractable placid theocracy subconscious Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots placid = calm plac = to please placate, placebo, complaisant, complacent, displease, plea theocracy = a government ruled by religious authority theo = god atheist, theology, enthusiasm, pantheist, monotheism subconscious = occuring in the mind but beyond conscious awareness sub = under, secretly subtle, subcutaneous, subliminal, sublime, subterfuge, subsequent, subservient, submarine abject = miserable ab = away abdicate, abscond, abduct, aberration, absolve, abscess, abomination anarchy = absence of government an = without anecdote, anaerobic, analgesic, anemia, anesthetic, anonymous tractable = easily managed tract = together subtract, abstract, attract, tractor, intract able, distract, contract, traction Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots convocation tenacity incite soliloquy complement epitaph Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots soliloquy = a speech to oneself solus = alone sole, solo, solitaire, solitary, solitude, solipsism complement = to complete the whole plere = to fill accomplish, replete, deplete, supplement epitaph = an inscription on a tombstone epi = upon epicenter, epidemic, ephemeral, epilepsy, epidermis, epitome, epilogue convocation = an assembly or meeting vocare = to call vocabulary, provoke, convoke, invoke, revoke, vocation, advocate, equivocate tenacity = persistence tenere = to hold sustain, abstain, contain, detain, obtain, entertain, tenable, pertain, pertinacity, retain incite = to provoke citare = to summon, to call citation, excite, recite, resuscitate, solicit Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots proponent eulogy circumscribe apocryphal etymology biology Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots Roots apocryphal = of doubtful authenticity apo = away from apocalypse, aphorism, apostate, apoplexy, apostle, apothecary, apology etymology = the study of the origin of words logos = study of astrology, archaeology, geology, oncology, biology, paleontology, psychology, etymology, theology, pathology, anthropology biology = the study of life bio = life biogenesis, biography, bionics, biopsy, biosphere proponent = a supporter; an advocate ponere = to place impose, interpose, opponent, opposite, exponent, exposition, expound, postpone, appositive eulogy = praise; a praise-filled speech given at someone’s funeral eu = good euphemism, eucalyptus, eucharist, eugenics, eukaryote, euphoria, eurhythmic circumscribe = to determine the limits of; to draw a line around scribe = to write inscribe, conscription, description, subscription, inscription Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Roots Smart Cards Roots Smart Cards Smart Cards Roots Smart Cards Roots Smart Cards Roots Smart Cards Roots paramount orthodox equanimity incisive irreverent levity . words Formula/Concept: Parallel lines and alternate interior, correspond- ing, and alternate exterior angles. Correct answer: 114 Angle ZYX = 66° and angle ZYW = 106° be- cause they form a “Z”. b = 40° because 106° –. because 106° – 66° = 40°. Angle VYW = 74° because 180 – 106 = 74°. c = 74° because of correspond- ing angles. b + c = 40° + 74° = 114°. Mistake: 80°. If you think b and c are 40. Formula/Concept:. 2(6)(3) solve: Simplify: SA = 108 + 54 + 36 = 198 Common mistake: 99 This is the result if you forget to count the 3 un- shown faces when calculating the surface area. Formula/Concept: Numerical Reasoning Correct answer: