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[…]

How can you pick the best homework helper/tutor for your child?

1. Go with an expert-As children get older, the coursework becomes harder and harder. By 8th grade, parents may struggle to assist their children with daily homework. We recommend that parents use tutors who have undergraduate degrees in substantive fields like English, the sciences, or math rather than a general degree in elementary education. 2. Local-Choose a tutor who[…]