Evaluate: \(64^x \cdot 4^y\)
A\(256^{xy}\)
B\(4^{x+3y}\)
C\(64^{x+3y}\)
D\(4^{3x+y}\)
Mathematics · Question Bank
algebra
274 of 433 questions match · page 3 of 14. Answer in your head first, then check the solution.
Give the factors of \(a^2-x^2\).
A\(2a-2x\)
B\((a+x)(a-x)\)
C\((a+x)(a+x)\)
D\(2x-2a\)
Factor the expression \(x^2+6x+8\) as completely as possible.
A\((x+4)(x+2)\)
B\((x-4)(x+2)\)
C\((x-4)(x-2)\)
D\((x+6)(x+2)\)
\((a-b)^3=?\)
A\(a^3-3a^2b+3ab^2+b^3\)
B\(a^3-3a^2b-3ab^2-b^3\)
C\(a^3+3a^2b+3ab^2-b^3\)
D\(a^3-3a^2b+3ab^2-b^3\)
Factor the expression \(3x^3-3x^2-18x\)
A\(3x(x-3)(x+2)\)
B\(3x(x+3)(x+2)\)
C\(3x(x+3)(x-2)\)
D\(3x(x-3)(x-2)\)
Simplify \(b^{m/n}\)
A\(\frac{\sqrt{b^m}}{n}\)
B\(b^{m+n}\)
C\(\sqrt[n]{b^m}\)
D\(\frac{b^m}{n}\)
If \(x\) to the \(3/4\) power equals \(8\), \(x\) equals
A\(-9\)
B\(6\)
C\(9\)
D\(16\)
If \(f(x)=2x^2+2x+4\), what is \(f(2)\)?
A\(4x+2\)
B\(16\)
C\(x^2+x+2\)
D\(8\)
If \(n\) is any positive integer, then \((n-1)(n-2)(n-3)\dots(3)(2)(1)\) =
A\(e^{(n-1)}\)
B\((n-1)!\)
C\(n!\)
D\((n-1)^n\)
What is the least common multiple of \(15\) and \(18\)?
A\(3\)
B\(5\)
C\(90\)
D\(270\)
What is the lowest common factor of \(10\) and \(32\)?
A\(320\)
B\(2\)
C\(180\)
D\(90\)
The numbers \(12\) and \(16\) has the greatest common divisor of
A\(2\)
B\(4\)
C\(6\)
D\(192\)
The polynomial \(x^3+4x^2-3x+8\) is divided by \(x-5\) then the remainder is,
A\(175\)
B\(140\)
C\(218\)
D\(200\)
Find the mean proportional of \(4\) and \(36\).
A\(72\)
B\(24\)
C\(12\)
D\(20\)
In the equation \(x^2+x=0\) one root is \(x\) equal to
A1
B5
C\(1/4\)
Dnone of these
Solve for \(x\) that satisfies the equation \(6x^2-7x-5=0\).
A\(\frac{5}{3}\) or \(\frac{-1}{2}\)
B\(\frac{3}{2}\) or \(\frac{3}{8}\)
C\(\frac{7}{5}\) or \(\frac{-7}{15}\)
D\(\frac{3}{5}\) or \(\frac{3}{4}\)
Find the values of \(x\) in the equation \(24x^2+5x-1=0\)
A\((\frac{1}{6}, 1)\)
B\((\frac{1}{6}, \frac{1}{5})\)
C\((\frac{1}{2}, \frac{1}{5})\)
D\((\frac{1}{8}, -\frac{1}{3})\)
Determine \(k\) so that the equation \(4x^2+kx+1=0\) will have just one real solution.
A3
B4
C5
D6
Solve for \(x\): \(10x^2+10x+1=0\)
A\(-0.113, -0.887\)
B\(-0.331, -0.788\)
C\(-0.113, -0.788\)
D\(-0.311, -0.887\)
Which of the following is a root of this quadratic equation, \(30x^2+49x+20=0\)?
A0.6
B-0.6
C-0.8
D0.75