Practice Quiz

SAT Math

Category - Algebra and Functions

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Solve for x in terms of s and t.
2s − (x + t)/3 = 1 − (x − 2)/2.
  1. 2(6 − 6s + t)
  2. 2(6 + 6s + t)
  3. 2(6 − 6s − t)
  4. 2(-6 − 6s + t)
  5. 2(6 + 6s − t)
Explanation
Answer: A - The solution in terms of s and t is 2(6 − 6s + t)
2s − (x + t)/3 = 1 − (x − 2)/2 × 6
6 × 2s − 6 × (x + t)/3 = 6 × 1 − 6 × (x − 2)/2
12s − 2(x + t) = 6 − 3(x − 2)
12s − 2x − 2t = 6 − 3x + 6
− 2x + 3x = 12 − 12s + 2t
x = 2(6 − 6s + t)
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