**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.

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

Given:

Average of 6, 6, 12, 16 and *x* is equal to 12

To find:

The value of *x*

Solution:

Topic(s): Statistics

**Answer: (D) 10**

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

Given:

The figure

To find:

The value of *z*

Solution:

Topic(s): Sum of angles in a triangle

2

⇒ 2

*z* + *y* + 90 = 180 (sum of angles in a triangle)

⇒*z* + 25 + 90 = 180 ⇒ * z* = 65

**Answer: (C) 65 **

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

Given:

If the selected number is odd then twice that integer is printed

If the selected number is even then the integer itself is printed

The integer printed is 26

To find:

Which could be the integer selected

Solution:

Test out each of the answers to find out which one(s) will print out 26

I. 13 is odd, print out 13 × 2 = 26

II. 26 is even, print out 26

III. 52 is even, print out 52

**Answer: (C) I and II only **

**9. Correct answer: (A) 60 m + s**

To find:

The number of seconds in *m* minutes and *s* seconds

Solution:

*m *minutes = 60*m* seconds

*m* minutes and s seconds = 60*m* + *s* seconds

**Answer: (A) 60 m + s**

**10. Correct answer: (D)
**Given:

(2

To find:

Possible values of *x*

Solution:

(2*x* – 2)(2 – *x*) = 0

either (2*x* – 2) = 0 ⇒ 2*x* = 2 ⇒ *x* = 1

or (2 – *x*) = 0 ⇒*x* = 2

**Answer: (D) 1 and 2 only **

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 calculator and problem solver 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.

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