 # SAT Practice Test 8, Section 8: Questions 1 - 5

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Math Worksheets

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.

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

Given:
The sum of 3x 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 3x and 5 is equal to the product of x and can be rewritten as 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 = 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 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

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