are these correct?

chrystal21

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Apr 4, 2006
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1. Solve for c: a=square root of 2/bc
a. c=2/a^2b
b. c=2a^2/b
c. c=2b/a^2
d. c=2a^2b
*choice A

2. Solve for x: square root of (5x-6)=x-4
a. 2
b. 4
c. 11
d. 3
e. none of these
*choice a

3. multiply and simplify: cubed root of (9ab^2) cubed root of (9a^4 b^5)
a. 9a^2b^3 cubed root of (a^2b)
b. 3a b^2 cubed root of (3a^2b)
c. 3a b cubed root of (3a b^2)
d. 9a b cubed root of (9a^2 b^2)
*choice B
 
Hello, chrystal21!

1. Solve for c:  a=2bc\displaystyle c:\; a\:=\:\sqrt{\frac{2}{bc}}

a)c=2a2b      b)  c=2a2b      c)  c=2ba2      d)  c=2a2b\displaystyle a)\:c\,=\,\frac{2}{a^2b}\;\;\;b)\;c\,=\,\frac{2a^2}{b}\;\;\;c)\;c\,=\,\frac{2b}{a^2}\;\;\;d)\;c\,=\,2a^2b

*choice A . . . Right!


2. Solve for x:  5x6=x4\displaystyle x:\;\sqrt{5x\,-\,6}\:=\:x\,-\,4

a)  2      b)  4      c)  11      d)  3      e)  none of these\displaystyle a)\;2\;\;\;b)\; 4\;\;\;c)\; 11\;\;\;d)\; 3\;\;\;e)\;\text{none of these}

*choice a . . . no
For x=2\displaystyle x\,=\,2, the left side is: 526=106=4=\displaystyle \,\sqrt{5\cdot2\,-\,6}\:=\:\sqrt{10\,-\,6}\:=\:\sqrt{4}\:=\:+2

    \displaystyle \;\;But the right side is: 24=\displaystyle \,2\,-\,4\:=\:-2

The correct answer is: x=11\displaystyle \,x\,=\,11 . . . answer (c)


3. Multiply and simplify: 9ab239a4b53\displaystyle \,\sqrt[3]{9ab^2}\,\cdot\,\sqrt[3]{9a^4 b^5}

a)  9a2b3a2b3      b)  3ab23a2b3      c)  3ab3ab23      d)  9ab9a2b23\displaystyle a)\;9a^2b^3\cdot\sqrt[3]{a^2b}\;\;\;b)\;3a b^2\cdot\sqrt[3]{3a^2b}\;\;\;c)\;3a b\cdot\sqrt[3]{3a b^2}\;\;\;d)\;9ab\cdot\sqrt[3]{9a^2b^2}

*choice B . . . Correct!
 
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