Advanced Math - Set - 3 | SAT Math Section

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Mar 23, 2024

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$2x^{2}-2=2x+3$Which of the following is a solution to the equation above?

Difficulty: Hard

$2$

1 -\sqrt{11}

\dfrac{1}{2}+\sqrt{11}

\dfrac{1+\sqrt{11}}{2}

$$f(x)=ax^{2}+4x+c$$In the given quadratic function, \(a\) and \(c\) are constants. The graph of \(y=f(x)\) in the \(xy\)-plane is a parabola that opens upward and has a vertex at the point \((h,k)\), where \(h\) and \(k\) are constants. If \(k<0\) and \(f(-9)=f(3)\), which of the following must be true?I. \(c<0\)II. \(a\geq 1\)

Difficulty: Hard

I only

II only

I and II

Neither I nor II

$f(x)=4x^{2}+64x+262$The function $g$ is defined by $g(x)=f(x+5)$. For what value of $x$ does $g(x)$ reach its minimum?

Difficulty: Hard

$-13$

$-8$

$-5$

$-3$

Which expression is equivalent to $11x^{3}-5x^{3}$?

Difficulty: Easy

16x^{3}

6x^{3}

6x^{6}

16x^{6}

Which expression is equivalent to $50x^{2}+5x^{2}$?

Difficulty: Easy

250x^{2}

10x^{2}

45x^{2}

55x^{2}

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