\$ 64"x"^2 + "bx" + 25 = 0\$
In the given equation, b is a constant. For which of the following values of b will the equation have more than one real solution?

A) -80

B) -91

C) 5

D) 40

\$ 64"x"^2 - (16"a" + 4"b")"x" + "ab" = 0\$
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is k(4a + b), where k is a constant. What is the value of k?

A) \$1/2\$

B) \$1/16\$

C) \$1/4\$

D) \$ 1/64\$

\$"x" - 29 = ("x" - "a")("x" - 29)\$

Which of the following are solutions to the given equation, where a is a constant and a > 30?

I. a
II. a + 1
III. 29

A) I and II only

B) I and III only

C) I, II, and III

D) II and III only

\$ "x"("x" + 1) - 56 = 4"x"("x" - 7) \$

What is the sum of the solutions to the given equation?

A) \$ 37/2\$

B) \$25/3\$

C) \$31/4\$

D) \$29/3\$

If \$"u" - 3 = 6/("t" - 2)\$, what is t in terms of u?

A) \$"t" = 1/"u" \$

B) \$"t" = (2u + 9)/("u") \$

C) \$"t" = (2"u")/("u" - 3) \$

D) \$"t" = 1/("u" - 3) \$

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

A) 2

B) \$1 - \sqrt(11)\$

C) \$(1 + \sqrt(11))/2\$

D) \$1/2 + \sqrt(11)\$

\$\sqrt{("x" - 2)^2} = \sqrt(3"x" + 34)\$
What is the smallest solution to the given equation?

A) -3

B) -5

C) 1

D) 5

\$2"x"^2 - 4"x" = "t"\$
In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t?

A) -3

B) -1

C) 1

D) 3

\$\sqrt(2"x" + 6) + 4 = "x" + 3\$
What is the solution set of the equation above?

A) {-1}

B) {5}

C) {-1, 5}

D) {0, -1, 5}

\$5"x"^2 + 10"x" + 16 = 0\$
How many distinct real solutions does the given equation have?

A) Infinitely many

B) Zero

C) Exactly one

D) Exactly two