More Lessons for SAT Test Prep

Math Worksheets

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

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: (A)**

Given:

A machine mints coins at the rate of one coin per second

It does this for 10 hours each day

To find:

The number of days it will take the machine to mint 360,000 coins

Solution:

10 hours = 10 × 60 × 60 = 36,000 seconds

In one day, it produces 36,000 coins.

So, it would take 10 days to produce 360,000 coins

**Answer: (A) 10**

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

Given:

The average of *x* and 3*x* is 12

To find:

The value of *x *

Solution:

**Answer: (C) 6**

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

Given:

Some members on the chess club are on the swim team

No members of the swim team are 10 th graders

Solution:

There is no calculation here, only some logical thinking

The given conditions mean that if a member belongs to both the chess club and the swim team he could not be in the tenth grade.

Therefore, “Some members in the chess club are not tenth graders.”

**Answer: (C) Some members in the chess club are not tenth graders**

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

Given:

3*x + n = x + *1

To find:

*n* in terms of *x *

Solution:

Topic(s): Isolate variable

3*x + n = x + *1

*n = x + *1 − 3*x* = 1 − 2*x*

**Answer: 1 − 2 x **

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

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.