Tag Archives: algebra

ACT Question of the Day Explained – February 7, 2014 – Math, Geometry, Area

Today’s ACT question is about the area of a trapezoid – they were nice enough to give us that formula right in the problem, so it’s a piece of cake!  Careful substitution cake with algebra frosting.

The formula they give us is:

a = (1/2)*h*(b1 + b2)       (h is the altitude, b1 and b2 are the parallel bases)

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SAT Question of the Day Explained – January 28, 2014 – Math, Algebra

<3 <3Today’s SAT question of the day is a medium-difficulty math question that involves some basic algebra…and multiplying by 4.  (I’ll wait while you get your calculator for that last part … ….)

We are told that there are two machines: X and Y.

Machine X works at a rate of X bolts per hour.

Machine Y works at a rate of X + 6 bolts per hour.

They want to know how many bolts are produced, total, in four hours.  So, first, we have to figure out how many bolts are produced in one hour. Continue reading

SAT Question of the Day Explained – January 19, 2014 – Algebra

i <3 MathToday’s official SAT question of the day is a math question that involves two expressions that have been set equal to each other.  This medium-difficulty question looks tougher than it is, as long as we are careful with our signs and do not jump to conclusions. Let’s jump in.

√(x – a) = √(x + b)

First thing: square both sides to get rid of the silly radicals.  Now we are left with:

x – a = x + b

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SAT Question of the Day Explained – January 16, 2014 – Math, Algebra, Absolute Value

Stay positive!Today’s SAT question of the day begins with two numbers, a, and b.  The difference between |a| and |b| is 5.  The answer choices provide four false statements and one potentially true statement.

To look at things a different way, a – b is 5 and neither a nor b can be negative.  This means that a has to be bigger than b, and that a has to be at least 5.  (Test it out: for example, if a was 2, could we subtract any positive number and get 5?  Nope.) Continue reading