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Which of the following expressions is equivalent to $x^{2}-5$?
Difficulty: Medium
A:
$(x+\sqrt{5})^{2}$
B:
$(x-\sqrt{5})^{2}$
C:
$(x+\sqrt{5})(x-\sqrt{5})$
D:
$(x+5)(x-1)$
Which of the following expressions is(are) a factor of $3x^{2}+20x-63$?
I. $x-9$
II. $3x-7$
Difficulty: Hard
A:
I only
B:
II only
C:
I and II
D:
Neither I nor II
$6r=7s+t$
The given equation relates the variables $r$, $s$, and $t$. Which equation correctly expresses $s$ in terms of $r$ and $t$?
Difficulty: Easy
A:
$s=42r-t$
B:
$s=7(6r-t)$
C:
$s=\frac{6}{7}r-t$
D:
$s=\frac{6r-t}{7}$
$\frac{1}{x^{2}+10x+25}=4$
If $x$ is a solution to the given equation, which of the following is a possible value of $x+5$ ?
Difficulty: Hard
A:
$\frac{1}{2}$
B:
$\frac{5}{2}$
C:
$\frac{9}{2}$
D:
$\frac{11}{2}$
The function $f$ is defined by $f(x)=4+\sqrt{x}$. What is the value of $f(144)$?
Difficulty: Easy
A:
0
B:
16
C:
40
D:
76
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