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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: (E) **

Given:

*Y* is the midpoint of

To find:

Which of the statement is true

Solution:

** Answer: (E) I and III **

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

Given:

2*r* = 5*s*

5*s* = 6*t*

To find:

*r* in terms of *t*

Solution:

Topic(s): Isolate variable, substitution

(equation 1)

(equation 2)

Substitute equation 2 into equation 1

**Answer: (C) 3 t **

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

Given:

*k* passengers went on a bus trip

Each of the *n* buses can seat *x* passengers

One bus had 3 empty seats

The remaining buses are filled

To find:

Expression for *n, x* and *k *

Solution:

Topic(s): Translating words to equations

If each of the *n* buses has *x* passengers, we will have *nx* passengers.

One of the buses has three empty seats.

So, the equation becomes *nx* – 3 = *k*

**Answer: (A) nx – 3 = k **

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

Given:

Given figure

To find:

Value of *x*

Solution:

Topic(s): Corresponding angles, supplementary angles

*y* + 50 = 80 (corresponding angles)

*y* = 30

*x* + *y* = 180 (supplementary angles)

*x* + 30 = 180

*x* = 150

** Answer: (A) 150 **

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

Given:

3*x*^{2} < (3*x*)^{2}

To find:

The value of *x* that makes 3*x*^{2} < (3*x*)^{2} a FALSE statement

Solution:

When *x* = 0, then 3(0)^{2} is not less than (3 × 0)^{2}

The false answer is (B), because any value multiply with 0 would be 0 and 0 is not less than 0.

**Answer: (B) 0 **

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