[Math Lair] Solutions for 2013 SAT Practice Test, Section 2

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SAT Practice Test Solutions:
2014–15 SAT Practice Test
2013–14 SAT Practice Test
The Official SAT Study Guide, second edition
SAT Math Tips

Here are solutions for section 2 of the 2013-14 SAT practice test; you can find the test on the College Board's web site or in the Getting Ready for the SAT booklet. The following solutions illustrate faster, less formal methods that may work better than formal methods 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. Solution 1: To write 70,000 in scientific notation, you would shift the decimal point 4 places to the left, so the exponent would be (D) 4.
    Solution 2: Use your scientific calculator to convert 70,000 into scientific calculator. The exponent value should read "04". Therefore, the answer is (D) 4.
    Solution 3: I wouldn't recommend this solution if you can remember how to do either Solution 1 or Solution 2, but if you have to:
  2. Solution 1: If Sam drove m miles, then if Kara drove twice as many miles, she drove 2m miles. If Darin drove 20 miles fewer than Kara, then he drove 2m − 20 miles. Therefore, the answer is (B) 2m − 20.
    Solution 2:
  3. Solution 1:
    Solution 2: Use your graphing or scientific calculator to graph and/or generate a table of values for 3x + 2y = 11. By inspecting the output, you should be able to determine that (1,4) and (3,1) are both solutions. Therefore, the answer is (D) (1,4) and (3,1).
  4. Solution 1:
    Solution 2:
    Solution 3:
  5. Solution 1: Solution 2: Solution 3: