Home / SAT Math :Practice Questions-Passport to advanced mathematics-Manipulating quadratic and exponential expressions

SAT Math :Practice Questions-Passport to advanced mathematics-Manipulating quadratic and exponential expressions

Question

Which expression is equivalent to (2\(x\)2+3\(x\)-2)-(5\(x\)2-\(x\)-7)?

  1. 7\(x\)2+4\(x\)+9
  2. 3\(x\)2+4\(x\)+5
  3. -3\(x\)2+2\(x\)-9
  4. -3\(x\)2+4\(x\)+5
Answer/Explanation

Ans: D

Question

\(2n=-22\)

What value of \(n\) satisfies the given equation? 

  1. -44
  2. -11
  3. 11
  4. 44
Answer/Explanation

Ans: B

Question

Markela opens a bank account that earns interest at a rate of 2% compounded annually. She puts \($\)200 in the account when she opens it and does not make any more deposits into or withdrawals from the account for 2 years. If the amount of money in the account after 2 years is given by the expression \(200(1.02)^2\) , which of the following expressions gives the amount of money in the account after 1 year? 

  1. 100(1.02)
  2. 200(1.02)
  3. 100(1.02)2
  4. 200(1.01)2
Answer/Explanation

Ans: B

Question

\(g(x)=2^x -2\)
The function \(g\) is defined by the equation above. Which of the following points in the \(xy\)-plane is an \(x\)-intercept of the graph of the equation \(y=g(x)\)? 

  1. \((-1,g(-1))\)
  2. \((0,g(0))\)
  3. \((1,g(1))\)
  4. \((2,g(2))\)
Answer/Explanation

Ans: C

Question

Which of the following is equivalent to \((x^2 + 7) ‑ 2(x^2 + 3)\)? 

  1. \(‐x^2 + 10\)
  2. \(‐x^2 + 1\)
  3. \(‐3x^2 + 10\)
  4. \(‐3x^2 + 1\)
Answer/Explanation

Ans: B

Question

Two numbers, \(a\) and \(b\), are each greater than zero, and the square root of \(a\) is equal to the cube root of \(b\). For what value of \(x\) is \(a\)2\(x\)-1 equal to \(b\)?

Answer/Explanation

Ans: 1.25 or 5/4

Question

Which of the following expressions is equivalent to \((-4x^3)^\frac{2}{3}\)? 

  1. \(-2x^3.\sqrt[3]{2}\)
  2. \(-x^3.\sqrt[3]{16}\)
  3. \(2x^2.\sqrt[3]{2}\)
  4. \(2x^2.\sqrt[3]{16}\)
Answer/Explanation

Ans: C

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