**This page is designed to help provide support for Kate’s Elementary Algebra eCourse,** a video supplement that walk students through

*Elementary Algebra*in an engaging, visual/auditory way! View samples on MasterBooksAcademy.com.

## Corrections/Clarifications to Solutions

**Chapter 16, Lesson 1, Problem 3** – You can also set up the equation like this: (6 mi/hr)(*x*) = (54 mi/hr)(40 min –* x*) Note that we’re setting these as equal because the distance up and down the mountain is the same, and we find distance by multiplying speed times time (*x* here is standing for the time up the mountain and 40 min – *x* for the time down).

You can then rewrite 6 mi/hr as 6 mi/60 min, since 60 min equals 1 hour, and 54 mi/hr as 54 mi/60 min. Then when you do the math, the units work out. You could at that point just rewrite without units (6/60)*x* = (54/60)(40 – *x*) to make it easier, but you’ve already checked to see that the units will work out. The *Solutions Manual* wrote 6(*x*/60) = 54((40 – *x*)/60, which means the same thing but makes it harder to see where the 60 came from.

**Chapter 16, Lesson 3, Problem 5f (page 639)** – (Note that this is not a problem I recommend solving in the eCourse schedule; however, here’s a clarification if you’ve attempted it.) The answer you should get when working out the problem there is *x* < 3 (rather than *x* > 3 as in the *Solutions Manual*), but note that we already were told to solve for when *x* < 0, so we really know just that *x* < 0.

## Questions and Answers

### I struggle with word problems; what do I do?

See the new “Notes for Students” section in the eCourse for some hints that may help.

### My graph doesn’t match the one in the *Solutions Manual*, and I can’t figure out why.

It may just be that the *Solutions Manual* graphed a different range of input values. See the newly updated Course File/Download for a whole section explaining how to grade graphs.

### I struggle figuring out when I can simplify fractions and when I can’t. What do I do?

See the new “Notes for Students” section in the eCourse for some hints that may help.

### What do I do if I struggle with problems including negative numbers?

See the new “Notes for Students” section in the eCourse for some hints that may help.

### When should I list both the positive and negative square root?

See the new “Notes for Students” section in the eCourse for some hints that may help.