**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.

**1. Correct answer: (B)**

Given:

To find:

The value of *x *

Solution:

It is not necessary to solve for *x*. We can see from the equation that *x* = 39

**Answer: (B) 39**

**2. Correct answer: (E)**

Given:

The table

Each letter represents the number of students in that category

To find:

The expression that is equal to *z *

Solution:

From the table, *z* is the total of *m* and *t
*z

From the table, *m = k + n, t = r + s *

So, *z = k + n + r + s *

**Answer: (E) k+n+r+s **

**3. ****Correct answer: (C)**

Given:

The figure showing the triangle *ABC *

To find:

The value of *x *

Solution:

Exterior angle of a triangle is equal to the sum of the opposite interior angles

25 + *x* = 60

*x* = 35

**Answer: (C) 35**

**4. Correct answer: (D)**

Given:

The cost of fixing the old refrigerator is $300

A new refrigerator costs $900 and will save the Martins $15 per month on electricity bills

If they buy the new refrigerator, in *x* months the Martins will have saved the difference between the cost of the new refrigerator and the cost of fixing the old one

To find:

The value of *x *

Solution:

The difference between the cost of the new refrigerator and the cost of fixing the old one is 900 – 300 = 600

Martins save $15 per month.

So, 15 × *x* = 600

**Answer: (D) 40**

**5. Correct answer: (B)**

Given:

The perimeter of equilateral triangle *DEF* is 3 times the perimeter of equilateral triangle *DEF
*The perimeter of triangle

To find:

The length of one side of triangle *ABC *

Solution:

Perimeter of triangle *DEF = *10

Perimeter of triangle *ABC* = 3 × 10 = 30

Let *x* be the length of one side of triangle *ABC
*3

**Answer: (B) 10**

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.