Advanced Math - Set - 10 | SAT Math Section

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Mar 23, 2024

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The function $f$ is defined by $f(x)=7x^{3}$. In the xy-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ down 2 units. Which equation defines function $g$?

Difficulty: Medium

g(x)=\frac{7}{2}x^{3}

g(x)=7x^{\frac{3}{2}}

g(x)=7x^{3}+2

g(x)=7x^{3}-2

$x^{2}=6x+y$ $y=-6x+36$A solution to the given system of equations is $(x,y)$. Which of the following is a possible value of $xy$?

Difficulty: Medium

$0$

$6$

$12$

$36$

The function $f$ is defined by $f(x)=270(0.1)^{x}$. What is the value of $f(0)$?

Difficulty: Medium

$0$

$1$

$27$

$270$

The function $g$ is defined by $g(x)=x^{2}+9$. For which value of $x$ is $g(x)=25$?

Difficulty: Easy

$4$

$5$

$9$

$13$

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

Difficulty: Easy

5x(x-10y^{2})

5x(x-50y^{2})

5x^{2}(10xy^{2})

5x^{2}(50xy^{2})

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