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SAT Math: Simplifying Expressions 3

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1. $(y^2 x -3x^2 +4xy) - (-2y^2 x +3xy -2y^2 )$

$-y^2 x - 5x^2 y^2 + 7xy$

$-y^2 x -3x^2 +7xy +xy$

$3y^2 x -3x^2 -2y^2 +7xy$

$3y^2 x -3x^2 +2y^2 +xy$

2. If $4x-2y=16$ , what is the value of $\dfrac{16^x}{4^y}$ ?

$2^{16}$

$4^2$

$4^2$

The value cannot be determined from the information

3. If $x \textgreater 3$ , which of the following is equivalent to $\dfrac{1}{\frac{1}{x-3} + \frac{1}{x+2}}$

$1$

$\dfrac{(x-3)(x+2)}{2x-1}$

$\dfrac{1}{2x-1}$

$\dfrac{x^2 -x -6}{(x-3) + (x+2)}$

4. $3x(2x+4)+3(4x+2) = ax^2 +bx +c$ . If the equation is true for all values of $x$ , what is the value of $b$ ?

5. $(-4x^2 +3x +5) - 2(2x^2 -4x -2)$

If the expression above is rewritten in the form of $ax^2 +bx +c$ , where $a$ , $b$ , and $c$ are all constants, what is the value of $c$ ?

6. If $a=3 \sqrt{2}$ and $2a= \sqrt{2x}$ , what is the value of $x$ ?

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