**This is for SAT in Jan 2016 or before.**

The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the The Official SAT Study Guide Second Edition.

It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.

**16. Correct answer: 3**

Given:

*a* + 2*b* = 125% × 4*b*

To find:

The value of

Solution:

Given:

A number line with 9 intervals between 0 and 1

To find:

The value of *x*

Solution:

is at the 6th slot.

**Answer: **

**18. Correct answer: either 2 or 18**

Given:

The distance between *B*(10, 18) and *A*(*x*, 3) is 17

To find:

One possible value of *x*

Solution:

Topic(s): Pythagorean theorem, factoring of quadratics or distance formula

Let *AB* be the hypotenuse of a right triangle *ABC*.

Length of *BC *is 18 – 3 = 15

Length of *AC* is 10 – *x*

Using Pythagoras theorem and factoring of quadratics

**Answer: either 2 or 18**

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