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Ready4	Daniel takes twice as long to wash $x$ dishes than Peter takes to wash the same amount of dishes. At these rates, if Daniel and Peter together wash $\frac{5}{4}x$ dishes in 3 hours, how many hours would it take Daniel alone to wash $\frac{1}{2}x$ dishes?
Ready4	Running at their respective constant rates, Machine M takes 4 days longer to produce $x$ widgets than Machine N. At these rates, if the two machines together produce $\frac{3}{4}x$ widgets in 2 days, how many days would it take Machine M alone to produce $5x$ widgets?
Ready4	Running at their respective constant rates, Machine A takes 4 days longer to produce $n$ widgets than Machine B. At these rates, if the two machines together produce $\frac{10}{7}n$ widgets in 3 days, how many days would it take Machine A alone to produce $3n$ widgets?
Ready4	Does the integer $p$ have at least three different positive prime factors? (1) $\frac{p}{30}$ is an integer. (2) $\frac{p}{40}$ is an integer.
Ready4	Does the positive integer $x$ have at least two different positive prime factors? (1) $\frac{x}{4}$ is an integer. (2) $\frac{x}{25}$ is an integer.
Ready4	Does the integer $n$ have at least three different positive prime factors? (1) $\frac{n}{8}$ is an integer (2) $\frac{n}{6}$ is an integer
Ready4	$\left \| y \right \|\leq 22$ $5x+y=-20$ For how many ordered pairs $(x,y)$ that are solutions of the system above are $x$ and $y$ both integers?
Ready4	$3x-y=9$ $\|y\| \leq 9$ For how many ordered pairs $(x,y)$ that are solutions of the system above are $x$ and $y$ both integers?
Ready4	Running at their respective constant rates, Machine X takes 2 days longer to produce $w$ widgets than Machine Y. At these rates, if the two machines together produce $\frac{5}{4}w$ widgets in 3 days, how many days would it take Machine X alone to produce $2w$ widgets?
Ready4	$2x+y=12$ $\left \| y \right \|\leq 12$ For how many ordered pairs $(x,y)$ that are solutions of the system above are $x$ and $y$ both integers?
Ready4	In the coordinate plane, point $(x, y)$ lies on a circle with center at the origin. What is the value of $x^{2} + y^{2}$ ? (1) The point $(-4,-5)$ lies on the circle. (2) The circle has radius $\sqrt{41}$ .
Ready4	The subsets of the set $\{p,q,r\}$ are: $\{p\}$ , $\{q\}$ , $\{r\}$ , $\{p,q\}$ , $\{p,r\}$ , $\{q,r\}$ , $\{p,q,r\}$ , and $\{\ \}$ (the empty subset) How many subsets of the set $\{p,q,r,s\}$ do not contain $s$ ?
Ready4	The subsets of the set $\{h,j,k\}$ are: $\{h\}$ , $\{j\}$ , $\{k\}$ , $\{h,j\}$ , $\{h,k\}$ , $\{j,k\}$ , $\{h,j,k\}$ , and $\{\ \}$ (the empty subset) How many subsets of the set $\{h,j,k,l\}$ contain either $h$ or $j$ ?
Ready4	The subsets of the set $\{p,q,r\}$ are: $\{p\}$ , $\{q\}$ , $\{r\}$ , $\{p,q\}$ , $\{p,r\}$ , $\{q,r\}$ , $\{p,q,r\}$ , and $\{\ \}$ (the empty subset) How many subsets of the set $\{p,q,r,s\}$ contain both $p$ and $q$ ?
Ready4	If arc $XYZ$ above is a semicircle, what is the length of diameter $\overline{XZ}$ ? (1) $XY=12$ (2) $YZ=5$
Ready4	Jose drove his car at an average rate of 100 kilometers per hour on the highway. Some of the distance Jose drove at a rate of 90 kilometers per hour and the rest of the distance he drove at a rate of 106 kilometers per hour. What percent of Jose's drive on the highway was at a rate of 90 kilometers per hour?
Ready4	Enough small and large pizzas are ordered for $30$ party guests that are expected to eat $3$ slices each. Each small pizza has $6$ slices and each large pizza has $8$ slices. How many small pizzas are ordered? (1) Fewer than $5$ small pizzas are ordered. (2) More than $5$ large pizzas are ordered.
Ready4	If $x$ is an integer, is $\|x\| -1^x \le 0$ ? (1) $x=0$ (2) $x < 0$
Ready4	If $x$ is an integer, is $\frac{\left \vert x \right \vert}{x}<3^x$ ? (1) $x > 0$ (2) $x=-3$
Ready4	If $x$ is an integer, is $x-\|x\| < 10^x$ ? (1) $x=0$ (2) $x < 0$