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: (C)**

Given:

6,700 = 100(6*k* + 7)

To find:

The value of *k *

Solution:

Topic(s): Isolate variable

6,700 = 100(6*k* + 7)

67 = 6*k* + 7

6*k* = 60

*k* = 10

**Answer: (C) 10**

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

Given:

3 more than *n* is a negative number

5 more than *n* is a positive number

To find:

A possible value of *n* from the answers

Solution:

Topic(s): Translating words to equations

“3 more than *n* is a negative number”

*n* + 3 <0

*n* < −3

“5 more than *n* is a positive number”

*n* + 5 > 0

*n* > −5

So, −5 < *n* < −3 .

The only answer that is within this range is –4

**Answer: (B) – 4 **

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

Given:

The figure

*x* = 70

*y* = 40

The dotted line bisects the angles *x* and *y *

To find:

The value of *z*

Solution:

Given *x* = 70, *y* = 40 and that the dotted lines bisects angles *x* and *y*.

**Answer: (E) 55**

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

Given:

The probability that the piece of fruit chosen will be an apple is

To find:

Which of the following could NOT be the number of pieces of fruit in the basket

Solution:

Topic(s): Probability

The probability of choosing an apple is

The number of fruits in the basket would need to be a multiple of the denominator (which is 5)

All the answers are a multiple of 5 except for 52

**Answer: (C) 52**

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

Given:

A square and an equilateral triangle have equal perimeters

The square has sides of length 3

To find:

Length of one side of the triangle

Solution:

Topic(s): Equilateral triangle

The square has sides of length 3. Its perimeter = 4(3) = 12

The equilateral triangle has the same perimeter as the square = 12

The length of each side of the triangle =

**Answer: (C) 4**

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 widget 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.