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Ready4	If $xy \neq 0$ , is $\frac{<font color='#FE8080'>1</font>}{x}+\frac{<font color='#FE8080'>1</font>}{y}=10$ ? (1) $x+y=10xy$ (2) $x=y$
Ready4	If $ab \neq 0$ , is $\frac{<font color='#FE8080'>1</font>}{a}- \frac{<font color='#FE8080'>1</font>}{b}=10$ ? (1) $b=2a$ (2) $b-a=10ab$
Magoosh	$${91！-90！+89！}\over{89！}$$=
	A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T is 0.06, what is the probability that the string of lightbulbs will fail during time period T?
	Is y 1.y+z=1 2. $$y^{2}\lt{z^{2}}$$
还原机经选题: 数论&代数 191222	The “ultimate number” can be calculated in this way: add up the values of each digit until there is only one digit left. For example, 9901, 9+9+0+1= 19, 1+9= 10, 1+0=1, 1 is the “ultimate number” of 9901. How many two-digit numbers are there that have the same ultimate number as 50645?
Ready4	The sequence $b_1, b_2, b_3,...,b_n,...$ such that $b_n = \frac{<font color='#FE8080'>1</font>}{n^{2}}-\frac{<font color='#FE8080'>1</font>}{(n+<font color='#FE8080'>1</font>)^{2}}$ for all integers $n \geq <font color='#FE8080'>1</font>$ . If $k$ is a positive integer, is the sum of the first $k$ terms of the sequence greater than $\frac{31}{32}$ ? (1) $k < 7$ (2) $k > 8$
	Is r to the right of -6 on the number line?(1) r is between -4 and -1 on the number line.(2) r is between -3 and 1 on the number line.
OG18-数学分册	The sequence $$a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$$ is such that $$a_{n} = a_{n ‒ 1} + 5$$ for 2 ≤ n ≤ 5. If $$a_{5} = 31$$, what is the value of $$a_{1} $$?
OG18-数学分册	A candle company determines that, for a certain specialty candle, the supply function is p = $$m_{1}x + b_{1} $$and the demand function is p = $$m_{2}x + b_{2} $$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_{1}, m_{2}, b_{1}, and b_{2}$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?(1) $$m_{1} = -m _{2} = 0.005$$ (2) $$b_{2} - b_{1} =6$$
Manhattan	Pablo plays 3 rounds of a game, in which his chances of winning each round are$$\frac{1}{3} ,\frac{1}{6} , and\frac{1}{n}$$ , respectively. If$$ n \neq 0$$, what is the probability that Pablo wins the first two rounds, but loses the third?
	For which real numbers x is the expression $${1}\over{(x-2)(x+1)}$$ not defined?
	If x is a positive integer, what is the value of x?(1) The first nonzero digit in the decimal expansion of $$\frac{1}{x！} $$is in the hundredths place.(2) The first nonzero digit in the decimal expansion of$${1}\over{{(x+1)！}}$$ is in the thousandths place.
PREP07 Test 2	Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C ?(1) The x-intercept of line k is greater than 1.(2) The slope of line k is $$-\frac{1}{10}$$.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
OG12 OG15 OG16	If n is an integer, is n + 1 odd?(1)n + 2 is an even integer.(2)n - 1 is an odd integer.
190113	If x, p, and q are positive integers, what's the unit number of $$x^{pq}$$? (1)$$x^{p}$$=1 (2)$$x^{q}$$=1
OG12 OG15	If x = 1 - 3t and y = 2t - 1, then for what value of t does x = y?
	The function f is defined by $${f}({x})=-\frac{1} x$$ for all nonzero numbers x. If $${f}({a})=-\frac1 2$$ and $${f}({a}{b})=\frac1 6$$, then b =
OG12 OG15	if 1+$$\frac{1}{x}=2-\frac{2}{x}$$,then x=