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: (D)**

To find:

The number between

Solution:

Topic(s): Fractions

The answer between 0.2 and 0.25 is 0.21

**Answer: (D) 0.21**

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

To find:

Which of the points are nearer to the origin

Solution:

Topic(s): Coordinate geometry

Sketch the locations of the points if necessary

From the sketch, you can see that B (0, ) is nearest to the origin

**Answer: (B)**

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

Given:

The figure

*AB* is a line

To find:

The value of *y*

Solution:

Topic(s): Supplementary angles

Since *AB* is a line, we can use the supplementary angles rule to from two equations.

*y* + *x* + x = 180 ⇒ *y* + 2*x* = 180 (equation 1)

5*x* = 180 ⇒ *x* = 3 (equation 2)

Substituting equation 2 into equation 1

*y* + 2(36) = 180 ⇒ *y* = 108

**Answer: (A) 108**

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

Given:

6,565 = 65(x* + *1)

To find:

The value of *x*

Solution:

Topic(s): Isolate variable

6,565 = 65(*x* + 1) ⇒ 65*x* + 65 = 6,565 ⇒ 65*x* = 6,500 ⇒ *x* = 100

Or you may be able to see from the pattern of the number 6565 that it would be 65 × 101

**Answer: (C) 100**

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

Given:

*m ^{x} • m^{7} = m*

To find:

*x* + *y*

Solution:

Topic(s): Exponents

*x* + *y* = 21 + 3 = 24

**Answer: (D) 24**

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.