# SAT Math Multiple Choice Practice Test 56

### Test Information

15 questions

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

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