Question
Which expression is equivalent to (2\(x\)2+3\(x\)-2)-(5\(x\)2-\(x\)-7)?
- 7\(x\)2+4\(x\)+9
- 3\(x\)2+4\(x\)+5
- -3\(x\)2+2\(x\)-9
- -3\(x\)2+4\(x\)+5
Answer/Explanation
Ans: D
Question
\(2n=-22\)
What value of \(n\) satisfies the given equation?
- -44
- -11
- 11
- 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?
- 100(1.02)
- 200(1.02)
- 100(1.02)2
- 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 \(y=g(x)\)?
- \((-1,g(-1))\)
- \((0,g(0))\)
- \((1,g(1))\)
- \((2,g(2))\)
Answer/Explanation
Ans: C
Question
Which of the following is equivalent to \((x^2 + 7) ‑ 2(x^2 + 3)\)?
- \(‐x^2 + 10\)
- \(‐x^2 + 1\)
- \(‐3x^2 + 10\)
- \(‐3x^2 + 1\)
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 \((-4x^3)^\frac{2}{3}\)?
- \(-2x^3.\sqrt[3]{2}\)
- \(-x^3.\sqrt[3]{16}\)
- \(2x^2.\sqrt[3]{2}\)
- \(2x^2.\sqrt[3]{16}\)
Answer/Explanation
Ans: C