SAT Math Multiple Choice Practice Test 56

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Question 15 questions

Time 22 minutes

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1.

Which of the following is the reduced form of the expression above?

  • A.
  • B.
  • C.
  • D.

2. Which of the following giveswritten in simplest form?

  • A.
  • B.
  • C.
  • D.

3.

For the equation given, if a > 0 and b > 0, then which of the following statements is always true?

  • A.
  • B.
  • C.
  • D.

4.

Which of the following is equivalent to the rational expression given above?

  • A.
  • B.
  • C.
  • D.

5.

Electrons follow paths, called orbits, around the nucleus of an atom. According tothe Bohr model, the energy in joules of an atom's nth orbit containing a single electron is given by the formula shown above, where Z is the atomic number of the atom and n is the orbit number. Which of the following equations gives the atomic number ofan atom given the energy of its nth orbit (assuming there is a single electron in that orbit)?

  • A.
  • B.
  • C.
  • D.

6. If a function p(x) has four distinct zeros, which of the following could represent the entire graphof p in a standard coordinate plane?

  • A.
  • B.
  • C.
  • D.

7.

Which of the following rational functions could represent the graph shown?

  • A.
  • B.
  • C.
  • D.

8. For which values of x is the expressionundefined?

  • A. -2
  • B. -2, 5
  • C. 0, -2, 5
  • D. 0, 2, -5

9. If yz, then

  • A. -x
  • B. -1
  • C. 1
  • D. x

10. If Q is the quotient when (x2 – 10x – 24) is divided by (x + 2) and x ≠ -2, which of the following represents Q?

  • A.
  • B.
  • C.
  • D.

11. Given that a ≠ ±, which of the following is equivalent to?

  • A.
  • B.
  • C.
  • D.

12.

Which of the following is equivalent to the expression above?

  • A. 10
  • B.
  • C.
  • D.

13.

If x1 and x2 are valid solutions to the rational equation given, what is the sum of x1 + x2?

  • A. -1
  • B. 0
  • C. 1
  • D. 2

14. Given that, which of the following must also be true?

  • A.
  • B.
  • C.
  • D.

15. What is/are the solution(s) to the equation?

  • A. -5 only
  • B. -1 and -5
  • C. 1 and 5
  • D. No real solution