[Math Lair] Solutions for Practice Test 8, The Official SAT Study Guide, Section 7

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Here are solutions for section 7 of practice test #8 in The Official SAT Study Guide, second edition, found on pages 847–852. The solutions below demonstrate faster, more informal methods that might work better for you on a fast-paced test such as the SAT. To learn more about these methods, see my e-book Succeeding in SAT Math or the SAT math tips page.

  1. The sum of the letters assigned to the word "exquisite" is 1 + 5 + 5 + 1 + 1 + 1 + 1 + 1 + 1 = 17. Select (B) 17.
  2. Divide both sides of the given equation by 2:
    x − 5 = 10
    Select (B) 10.
  3. A rectangular floor that is 12 feet by 18 feet is 4 yards by 6 yards. So, 4 × 6 = 24 yards of carpeting will be required. Select (C) 24.
  4. Look at the answer choices: :
  5. List the numbers out. There are 10 such numbers: 304, 314, 324, 334, 344, 354, 364, 374, 384, and 394. Select (A) 10.
  6. Guess and check: Try the given answers until you find one that works:
  7. This is a good one. Two solutions are presented here, one more formal and one informal. If you can find either, you are well on your way to an 800: