If $p=3x+4$ and $v=x+5$, which of the following is equivalent to $p\nu-2p+\nu$ ?
Difficulty: Medium
A:

$3x^{2}+12x+7$

B:

$3x^{2}+14x+17$

C:

$3x^{2}+19x+20$

D:

$3x^{2}+26x+33$

$x^{2}-x-1=0$What values satisfy the equation above?
Difficulty: Medium
A:

$x=1$ and $x=2$

B:

$x=-\frac{1}{2}$ and $x=\frac{3}{2}$

C:

$x=\frac{1+\sqrt{5}}{2}$ and $=\frac{1-\sqrt{5}}{2}$

D:

$x=\frac{-1+\sqrt{5}}{2}$ and $x=\frac{-1-\sqrt{5}}{2}$

$(x+5)+(2x-3)$Which of the following is equivalent to the given expression?
Difficulty: Easy
A:

$3x-2$

B:

$3x+2$

C:

$3x-8$

D:

$3x+8$

Which expression is equivalent to $\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?
Difficulty: Medium
A:

$\frac{x-7}{5}$

B:

$\frac{8x-3}{2}$

C:

$\frac{8x^{2}-3x-14}{2x-14}$

D:

$\frac{8x^{2}-3x-77}{2x-14}$

$x=49$$y=\sqrt{x}+9The graphs of the given equations intersect at the point (x,y) in the xy-plane. What is the value of y? Difficulty: Easy A: 16 B: 40 C: 81 D: 130 h(x)=2(x-4)^{2}-32The quadratic function h is defined as shown. In the xy-plane, the graph of y=h(x) intersects the x-axis at the points (0,0) and (t,0), where t is a constant. What is the value of t? Difficulty: Hard A: 1 B: 2 C: 4 D: 8 Sponsored AdsHide Ads The function \bm{f} is defined by \bm{f}(\bm{x})=(-8)(2)^{x}+22. What is the y-intercept of the graph of \bm{y}=\bm{f}(\bm{x}) in the xy-plane? Difficulty: Hard A: (0,14) B: (0,2) C: (0,22) D: (0,-8) x^{2}-2x-9=0One solution to the given equation can be written as 1+\sqrt{k}, where k is a constant. What is the value of k? Difficulty: Hard A: 8 B: 10 C: 20 D: 40 \bm{f}(\bm{x})=9,000(0.66)^{x}The given function f models the number of advertisements a company sent to its clients each year, where \bm{x} represents the number of years since 1997, and 0\leq\bm{x}\leq 5. If y=\bm{f}(\bm{x}) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context? Difficulty: Hard A: The minimum estimated number of advertisements the company sent to its clients during the 5 years was 1,708. B: The minimum estimated number of advertisements the company sent to its clients during the 5 years was 9,000. C: The estimated number of advertisements the company sent to its clients in 1997 was 1,708. D: The estimated number of advertisements the company sent to its clients in 1997 was 9,000. Sponsored AdsHide Ads The first term of a sequence is 9. Each term after the first is 4 times the preceding term. If w represents the nth term of the sequence, which equation gives w in terms of n? Difficulty: Hard A: w=4(9^{n}) B: w=4(9^{n-1}) C: w=9(4^{n}) D: w=9(4^{n-1}) x-y=1$$x+y=x^{2}-3$Which ordered pair is a solution to the system of equations above?
Difficulty: Hard
A:

$(1+\sqrt{3},\sqrt{3})$

B:

$(\sqrt{3},-\sqrt{3})$

C:

$(1+\sqrt{5},\sqrt{5})$

D:

$(\sqrt{5},-1+\sqrt{5})$

Which of the following is equivalent to the expression $x^{4}-x^{2}-6$?
Difficulty: Medium
A:

$(x^{2}+1)(x^{2}-6)$

B:

$(x^{2}+2)(x^{2}-3)$

C:

$(x^{2}+3)(x^{2}-2)$

D:

$(x^{2}+6)(x^{2}-1)$

$(2x+5)^{2}-(x-2)+2(x+3)$Which of the following is equivalent to the expression above?
Difficulty: Medium
A:

$4x^{2}+21x+33$

B:

$4x^{2}+21x+29$

C:

$4x^{2}+x+29$

D:

$4x^{2}+x+33$

Time (years) Total amount (dollars)
0 604.00
1 606.42
2 608.84
Lisa opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Lisa opened the account and the total amount $n$, in dollars, in the account. If Lisa made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $n$?
Difficulty: Medium
A:

$n=(1+604)^{t}$

B:

$n=(1+0.004)^{t}$

C:

$n=604(1+0.004)^{t}$

D:

$n=0.004(1+604)^{t}$

Difficulty: Hard
A:

18

B:

20

C:

24

D:

40