 # SAT Practice Test 2, Section 3: Questions 16 - 20

Related Topics:
More Lessons for SAT Preparation

Math Worksheets

This is for SAT in Jan 2016 or before.

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.

Given:
The line l that has a positive slope
Line l passes through (0, 0)
Line k is perpendicular to l

To find:
The statement that is true for line k

Solution:
Topic(s): Coordinate geometry

If k is perpendicular to l then the product of their slopes is –1.

Since l has a positive slope, it means that k must have a negative slope.

Answer: (C) line k has a negative slope.

Given:  To find:
The value of x

Solution:
Topic(s): Symbol problems Given:
One shirt costs x dollars
Each additional shirt costs z dollars less than the first shirt

To find:
The expression that represents the cost for n shirts

Solution:
Try to detect the pattern:

1 shirt → x
2 shirts → x +1(x z)
3 shirts → x +2(x z)
.
.
.
n shirts → x + (n – 1) (x z)

Answer: (A) x + (n – 1) (x z)

Given:
QR is the arc of a circle with center P
Length of arc QR is  To find:
Area of sector PQR

Solution:
Topic(s): Circles, angles

Formula of circumference of circle: Angle QPR is 30º. The sum of angles around a point is 360º.

This means that the arc QR is of the circumference of the circle = Given Arc QR =  Area of sector PQR is of the area of the circle.

Formula of area of circle: Substitute r = 36 Given:
75 more women than men enrolled
n men enrolled

To find:
In terms of n, the percent of those enrolled are men

Solution:
Topic(s): Percent

Let n = men

n + 75 = women

Total = n + n + 75 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. 