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.
1. Correct answer: (D)
The number between
The answer between 0.2 and 0.25 is 0.21
Answer: (D) 0.21
2. Correct answer: (B)
Which of the points are nearer to the origin
Topic(s): Coordinate geometry
Sketch the locations of the points if necessary
From the sketch, you can see that B (0, ) is nearest to the origin
3. Correct answer: (A)
AB is a line
The value of y
Topic(s): Supplementary angles
Since AB is a line, we can use the supplementary angles rule to from two equations.
y + x + x = 180 ⇒ y + 2x = 180 (equation 1)
5x = 180 ⇒ x = 3 (equation 2)
Substituting equation 2 into equation 1
y + 2(36) = 180 ⇒ y = 108
Answer: (A) 108
4. Correct answer: (C)
6,565 = 65(x + 1)
The value of x
Topic(s): Isolate variable
6,565 = 65(x + 1) ⇒ 65x + 65 = 6,565 ⇒ 65x = 6,500 ⇒ x = 100
Or you may be able to see from the pattern of the number 6565 that it would be 65 × 101
Answer: (C) 100
5. Correct answer: (D)
mx • m7 = m28
x + y
x + y = 21 + 3 = 24
Answer: (D) 24
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