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Free SAT Section 2: Mathematics Exam Braindumps (page: 8)

Page 7 of 41
PDF with 161 Questions

The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160 cubic units. If the radius of the cylinder is 4 units, what is the surface area of the cube?

  1. 64 square units
  2. 96 square units
  3. 100 square units
  4. 125 square units
  5. 150 square units

Answer(s): E

Explanation:

The volume of a cylinder is equal to r2h. The volume of the cylinder is 160 and its radius is 4. Therefore, the height of the cylinder is equal to:160 = (4)2h160 = 16hh = 10 The length of an edge of the cube is equal to half the height of the cylinder. The edge of thecubes5 units. The surface area of a cube is equal to 6e2, where e is the length of an edge of the cube. The surface area of the cube = 6(5)2= 6(25) = 150 square units.



The function m # n is equal to m2 n. Which of the following is equivalent to m#(n # m)?

  1. Option A
  2. Option B
  3. Option C
  4. Option D
  5. Option E

Answer(s): C

Explanation:

M#n is a function definition. The problem is saying "m#n" is the same as "m2 n". If m#n isn2 n, then n#misn2 m. So, to find m#(n#m), replace (n#m) with the value of (n#m), which isn2 m:m#(n2 m).
Now, use the function definition again. The function definition says "take the value before the # symbol, square it, and subtract the value after the # symbol": m squared ism2minus the second term, (n2 m), is equal tom2-(n2 m) = m2 n2+ m.



Which of the following has the greatest value when x = - 1/4?

  1. Option A
  2. Option B
  3. Option C
  4. Option D
  5. Option E

Answer(s): E

Explanation:



  1. Option A
  2. Option B
  3. Option C
  4. Option D
  5. Option E

Answer(s): E

Explanation:

Anglese and fare vertical angles, so angle e anglef. However, angle d and anglejare not alternating angles. These angles are formed by different transversals. It cannot be stated that angled anglej, therefore, it cannot be stated that d + e = f + j.






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