Advanced Math - Set - 15 | SAT Math Section

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Mar 23, 2024

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If $(x+5)^{2}=4$, which of the following is a possible value of $x$?

Difficulty: Easy

$1$

$-1$

$-2$

$-3$

What is the minimum value of the function $f$ defined by $f(x)=(x-2)^{2}-4$?

Difficulty: Hard

$-4$

$-2$

$2$

$4$

$y=ax^{2}-c$In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?

Difficulty: Medium

Zero

One

Two

More than two

Let the function $p$ be defined as $p(x)=\frac{(x-c)^{2}+160}{2c}$ , where $c$ is a constant. If $p(c)=10$ , what is the value of $p(12)$ ?

Difficulty: Hard

10.00

10.25

10.75

11.00

$f(x)=(x+0.25x)(50-x)$ The function $f$ is defined above. What is the value of $f(20)$?

Difficulty: Easy

250

500

750

2,000

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