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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.

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

Given:

The increase in expenses is directly proportional to the increase in temperature setting

The expenses increase by $24 when the temperature setting is increased by 20

To find:

The increase in expenses when the temperature setting is increased by 15

Solution:

Topic(s): Proportional word problem

If 20 degrees then 24 dollars, if 15 degrees then how many dollars?

**Answer: (B) 18**

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

Given:

The figures

To find:

The average of *u, v, w, x* and *y *

Solution:

Topic(s): Complementary angles, sum of angles in a triangle

*x* + *y* = 90 (*x *and *y *are complementary angles)

*u + v + w = *180 (sum of angles in a triangle = 180)

Average of *u, v, w, x, y,* and *z* =

**Answer: (E) 54**

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

Given:

*x*, *x*^{2} and *x*^{3} lie on the number line in the order shown in the figure

To find:

Which of the following could be the value of *x*

Solution:

In order for *x*^{3} < *x*^{2} < *x*, the range of *x* is 0 < *x* < 1

The answer is then (C)

**Answer: (C) **

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

Given:

The figure

Line *l* passes through the origin

To find:

The value of

Solution:

Topic(s): Coordinate geometry

The slope of the line is

So,

**Answer: (A) 3**

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

Given:

*m* < 0, *k* < 0

To find:

The value of *m* – *k *

Solution:

Topic(s): Absolute value

*m* – *k* = – 2 – (– 22) = 20

**Answer: (E) 20**

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