More Lessons for SAT Preparation

Math Worksheets

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: (A)**

Given:

A menu that has 8 dinners and 3 desserts

To find:

The number of dinner-desert combinations that are possible from the menu

Solution:

Topic(s): Permutations

Different types of dinner-desert combinations:

8 × 3 = 24

**Answer: (A) 24**

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

Given:

The sum of 3*x* and 5 is equal to the product of *x* and

To find:

The equation that gives the relationship

Solution:

Topic(s): Translating words to equations

“The sum of 3*x* and 5 is equal to the product of *x* and ”

can be rewritten as

**Answer: (E) **

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

Given:

A document is thrown into one of 90 cans

There are 15 blues cans out of 90 cans

To find:

The probability that the document would be in a blue can

Solution:

Topic(s): Probability

There are 15 blues cans out of 90 cans

The probability of blue cans =

**Answer: (C) **

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

Given:

To find:

The number of different integer pairs (*x*, *y*) that satisfies the given equation

Solution:

Topic(s): Fractions

There are infinite integer pairs (*x*, *y*) forming the equivalent fractions of

**Answer: (E) More than 4**

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

Given:

The graph

To find:

The 2-month period that the bookstore sell the least number of books

Solution:

We need to add up the books sold for each of the two-month periods and find the period with the smallest sum.

(A) June and July: 7 + 40 = 47

(B)
July and August: 40 +10 = 50

(C)
August and September: 10 + 32 = 42

(D)
September and October: 32 + 25 = 57

(E)
October and November: 25 + 30 = 55

The period with the smallest sum is (C) August and September

**Answer: (C) August and September**

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.