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SAT Math: Simplifying Expressions 2

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1. $x^3 -4(x^2 +3) +15$

Which of the following is equivalent to the expression above?

$x^5 +3x^3 -4x^2 -12$

$x^3 -12x^2 +15$

$x^3 -3x^2 +3$

$x^3 -4x^2 +3$

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

$4x^2 +12x +8$

$2x^3 +8x^2 -16x -14$

$2x^3 +16$

$2x^3 -8x^2 +16x -16$

3. $4x^2 -6x -4$

$7x^2 +3x -6$

Which of the following is the sum of the two polynomials shown above?

$11x^2 -3x -10$

$11x^2 -3x -2$

$11x^4 +3x -10$

$11x^4 -3x -2$

4. $4(x+6)(3x+2)$

Which of the following is equivalent to the expression above?

$12x^2 +64x +48$

$12x^2 +48$

$12x^2 +80x +48$

$18x^2 -6$

5. Which of the following is equal to $a^{\frac{4}{5}}$ , for all values of $a$ ?

$\sqrt{a^\frac{4}{5}}$

$\sqrt{a^4}$

$\sqrt[5]{a^\frac{1}{4}}$

$\sqrt[5]{a^4}$

6. If $\dfrac{x^{a^3}}{x^{b^2}} = x^{-1}$ , $x \textgreater 1$ , and $a+b=5$ , what is the value of $a-b$ ?

$-3$

$-1$

$1$

$3$

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