SAT Math: Practice Questions-Passport to advanced mathematics-Radical and rational equations

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SAT Math Practice Questions-All Topics

Question

If \(\sqrt{x+5}=6\), what is the value of \(x\)? 

Answer/Explanation

Ans: 31

Question

\(\sqrt{x}+4=12\)

Which of the following is the solution to the equation above?

  1. 8
  2. 16
  3. 64
  4. 140
Answer/Explanation

Ans: C

Question

\(\sqrt{x+28}-2\sqrt{x+1}=0\)

What value of \(x\) satisfies the equation above?

  1. 8
  2. 9
  3. 26
  4. 27
Answer/Explanation

Ans: A

Question

Which of the following is a solution to the equation \(\sqrt{14-x}+2=x\) 

I. -2
II. 1
III. 5

  1. I only
  2. II only
  3. III only
  4. I and III
Answer/Explanation

Ans: C

Question

If \(\sqrt{2x}=8\), what is the value of \(x\)? 

  1. 4
  2. 8
  3. 32
  4. 64
Answer/Explanation

Ans: C

Question

\(x-2=\sqrt{x+10}\)

Which of the following values of \(x\) is a solution to the equation above? 

  1. -1
  2. 1
  3. 4
  4. 6
Answer/Explanation

Ans: D

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