Functions, Geometry, Passport to Advanced Math

There is a class of 10 students. How many ways can the teacher pick 1st, 2nd, and 3rd place prizes? In a set of 12 girls, how many groups of 4 winners can be made? 18 students are running for 5 student council seats. How many winning sets can be formed? 12 swimmers compete for[…]

Geometry and Passport to Advanced Math

Find the surface area of a sphere with the volume of 27π. A factory in Hackensack manufactures T-shirts. The factory has monthly operating costs of $14,000 per month regardless of how many shirts are produced. Additionally, the factory must spend $7.45 for each shirt produced. In July, the total factory costs were $19,000. Approximately how[…]

Functions and Exponents-Heart of Algebra

Staples now sells their own notebooks. Making notebook has a fixed factory cost of$6,000 and a per unit cost of $0.58 per notebook. Staples sells these notebooks for $3.99 each. As a function of the number of notebooks staples sells (n), write an equation for Staples’ profit P(n). How many notebooks does Staples need to[…]

Heart of Algebra Simplifying, Problem Solving, Geometry

How many integers between 0 and 999 contain a single digit that is a 7? The probability of scoring 90 or above is .35 in a group of 11 students, find the probability that 10 or 11 score a 90 or above? In a bag there are 6 blue marbles, 4 red marbles, 7 yellow[…]

Heart of Algebra Word Problems, Functions, and Systems

  What is one possible value of f ? 10/3>12f–20>7/6 Line q passes through the origin and (s, s+4). It is also perpendicular to line r. If line r follows 1/2x+2/3y=6, find the value of 2s+8. Line n intersects the y-axis at 5 and is a horizontal line with a slope of zero. Line n intersects[…]

Do You Know What All of These Words Mean?

Brood- Young of an animal Confer- Discuss/conference with Din- Noisy Disinter- To take out of original place Dole- To distribute out Ensconce- To settle in or to hide Forelock- Front of a horse’s mane Gambol- To play light heartedly Ignominious- Bringing shame Knoll- Hill Machination- Sneaky plot Maxim- A saying that is widely accepted Poultice-[…]

Even More Words of the Week!

Impish- Annoying or annoyingly playful Gaucho- Cowboy, masculine and adventurous Gist- The basic idea of something Imputation- An accusation of guild Chaste- Pure Errant- Wandering Fallacious- Misleading Phlegmatic- Stoic, showing little emotion Mellifluous- Softly flowing Magnanimity- Generosity Scrupulous- Moral, honest, sticking to rules Tenacious- Persistent, stubborn Bane- Cause of death or ruin Ardor- Intensity Dogged-[…]

More Words of the Week!

Clandestine- Secret Prophetic- Seeing into the future Trivial- Unimportant Dissent- Disagree with Surmise- Presume Depravity- Moral corruption Jeopardize- Put in danger Scrutinize- Criticize Slipshod- Haphazardly Extrapolate- To pull out of Onerous- Strenuous, difficult, bothersome Irreproachable- Beyond reproach (too holy to be criticized) Affliction- Misery, pain, grief Cacophony- Harsh/loud sounds Rehash- Repeat Expendable- Worthless Ameliorate- Soothe,[…]

Words of the Week!

Amalgamation- Mixture, coming together of things Callous- Rough Copious- Excessive Sporadic- Here and there Motley- Array Ratify- Approve Affable- Friendly Arcane- Mysterious, understood by a few Candid- Honest, frank Eradicate- Get rid of completely Entourage- Group of followers Faction- Part of Dearth- Absence of Esoteric- Academic, Understood by a few Ineffectual- Weak, not bringing about[…]

ACCUPLACER REVIEW PROBLEMS

Which of the following accurately describes the graph of 1=x²/4+y²/5 on an x-y coordinate plane? An ellipse A hyperbola A parabola A circle A line If G(x)=4x²-12, find G¯¹(x) Find the determinant of the 2×2 Matrix: 8 15 -1 12 A store initially sells 16 items per day, but each day the store sells 6[…]