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)
The decrease per year in the number of homes sold between 1987 and 1990
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)
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
8. Correct answer: (A)
The price of ground coffee beans is d dollars for 8 ounces
1 ounce makes c cups of brewed coffee
The cost, in terms of c and d required to make 1 cup of brewed coffee
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
The value of ab
10. Correct answer: 6/25, .24
150, 30, 6, …
Each term after the 1 st term is of the term preceding it
5th term of the sequence
Topic(s): Geometric sequence
The sequence is a geometric sequence with a ratio of
To get the fifth term:
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