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: (C)**

Given:

The graph

To find:

The decrease per year in the number of homes sold between 1987 and 1990

Solution:

From the graph, we can see that the number of homes sold in 1987 is about 156,000 and the number of homes sold in 1990 is about 112,000

The decrease over the three-year period is 44,000

The decrease per year would be 44,000 ÷ 3 ≈ 14, 667

The nearest answer would be 14,000

**Answer: (C) 14,000**

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

Given:

The figure

To find:

*CE *

Solution:

Topic(s): 45º-45º-90º special triangle, vertical angle

*If x* = *y* then x = *y* = 45º and triangle *ABE* is a 45º-45º-90º special triangle.

Using the 45º-45º-90º triangle ratio, if the length of the hypotenuse (*AB*) is 4 and the length of the side *s *then

**Answer: (B) **

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

Given:

The price of ground coffee beans is *d* dollars for 8 ounces

1 ounce makes *c* cups of brewed coffee

To find:

The cost, in terms of *c* and *d* required to make 1 cup of brewed coffee

Solution:

Topic(s): Proportional word problem

Separate the problem into two smaller parts and rewrite them as proportional problems.

If 8 ounces then *d* dollars, if 1 ounce then how many dollars?

**9. Correct answer: 120**

Given:

To find:

The value of *ab*

Solution:

Topic(s): Cross-multiply

**Answer: 120**

**10. Correct answer: 6/25, .24**

Given:

150, 30, 6, …

Each term after the 1 st term is of the term preceding it

To find:

5^{th} term of the sequence

Solution:

Topic(s): Geometric sequence

The sequence is a geometric sequence with a ratio of

To get the fifth term:

**Answer: **

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.