Category Archives: Algebra

SAT Question of the Day Explained – March 11, 2014 – Math

Today’s SAT question of the day is an algebra question about rates. Get your units-per-unit brain fired up.

The question:

The c cars in a car service use a total of g gallons of gasoline per week. If each of the cars uses the same amount of gasoline, then, at this rate, which of the following represents the number of gallons used by 5 of the cars in 2 weeks?

Continue reading

ACT Question of the Day Explained – February 27, 2014 – Math, Ratios

Today’s ACT question of the day is a great ratio question to review no matter which test you’re taking.

In a shipment of 1,000 light bulbs,  of the bulbs were defective.
What is the ratio of defective bulbs to nondefective bulbs?

When we are dealing with ratios, we have to consider the different types: part-to-part and part-to-whole. Continue reading

SAT Question of the Day Explained – February 27, 2014 – Math, Algebra

Today’s SAT question of the day is a medium-difficulty math question that asks us about the term “undefined”.  Undefined, for the purposes of the SAT, means that we’d be dividing by zero. Every time you see that word, translate it into “divide by zero.”

Today we need to know what value of x would make this equation undefined for y:

y equals ((x plus 1) times (x minus 2)) over ((x plus 3) times (x minus 4))

Continue reading

SAT Question of the Day Explained – February 24, 2014 – Math, Algebra

Today’s SAT question of the day is an algebra question about adding fractions.  Before you break out your calculator or tell me how much you hate adding fractions, check out the strategy for this one – it will save you quite a bit of time.

If s = 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 and t = 1 + s/2, then t exceeds s by how much? Continue reading

ACT Question of the Day Explained – February 19, 2014 – Algebra, Linear Equations

Today’s ACT question of the day is secretly asking if you know the meaning of y = mx + b.  We have to figure out which graph looks like y = 3x +1. Yes, you could graph that on your calculator, but if your graph’s scale doesn’t match the scale of the graphs in the test booklet, you might not find the answer that way. Continue reading