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: (B)
The increase in expenses is directly proportional to the increase in temperature setting
The expenses increase by $24 when the temperature setting is increased by 20
The increase in expenses when the temperature setting is increased by 15
Topic(s): Proportional word problem
If 20 degrees then 24 dollars, if 15 degrees then how many dollars?
Answer: (B) 18
7. Correct answer: (E)
The average of u, v, w, x and y
Topic(s): Complementary angles, sum of angles in a triangle
x + y = 90 (x and y are complementary angles)
u + v + w = 180 (sum of angles in a triangle = 180)
Average of u, v, w, x, y, and z =
Answer: (E) 54
8. Correct answer: (C)
x, x2 and x3 lie on the number line in the order shown in the figure
Which of the following could be the value of x
In order for x3 < x2 < x, the range of x is 0 < x < 1
The answer is then (C)
9. Correct answer: (A)
Line l passes through the origin
The value of
Topic(s): Coordinate geometry
The slope of the line is
Answer: (A) 3
10. Correct answer: (E)
m < 0, k < 0
The value of m – k
Topic(s): Absolute value
m – k = – 2 – (– 22) = 20
Answer: (E) 20
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