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Ready4

If lines $p$ and $q$ are perpendicular to each other, is the slope of line $p$ positive?

(1) line $q$ passes through the point $(-4,2)$

(2) lines $p$ and $q$ intersect at the point $(-2,1)$

Ready4

If lines $j$ and $k$ are parallel to each other, is the slope of line $k$ negative?

(1) line $k$ has a $y$ -intercept of $7$

(2) line $j$ passes through the point $(-2,-1)$

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $R$ has coordinates $(1,5)$ and $S$ has coordinates $(7,5)$ .

(2) In an $xy$ -plane, $S$ has coordinates $(7,5)$ and $T$ has coordinates $(7,1)$

Ready4

Is the triangle above a right triangle?

(1) In an $xy$ -plane, $P$ has coordinates $(-2,-3)$ .

(2) In an $xy$ -plane, $Q$ has coordinates $(4,-4)$ and $R$ has coordinates $(4,1)$ .

Ready4

Price Range (in dollars)	Number of Items
less than 5	4
5-14	27
15-24	39
25-34	13
35-44	47
45-54	28
55 and higher	9

The table above gives information about the current price ranges, in dollars, of 167 items in store $A$ . If $m$ represents the median price, in dollars, of all the items in store $A$ , which of the following must be true?

Ready4

	Yes	No	Maybe
Extra Credit	50	60	40
Tutoring	45	60	45

The table above indicates the results after 150 students were surveyed on whether they were interested in outside help for their class by either: extra credit and/or tutoring. The choices for their responses were either: "Yes", "No", or "Maybe". How many students surveyed responded "Yes" to both options for outside help?

(1) 70 students did not respond "Yes" for either option for outside help

(2) 15 student responded "No" both options for outside help

Ready4

	Like	Dislike	Unsure
Broccoli	60	70	70
Brussel Sprouts	55	90	55

The table above indicates the results after 200 people were surveyed on their feelings about two different kinds of vegetables: broccoli and brussel sprouts. The choices for their responses were either: "like", "dislike", or "unsure". How many people surveyed "liked" both vegetables?

(1) 60 people did not respond "like" for either vegetable

(2) 25 people "dislike" both vegetables

Ready4

The circle graph above represents the total employees at Company $X$ , broken down by the employees for its five separate branches. If the center of the circle is $O$ and Company $X$ has a total of 2,400 employees, how many employees work for branch $D$ ?

(1) Together, branch $B$ and $C$ have four times as many employees as branch $D$

(2) $w=54$

Ready4

$a$	$b$	$c$
$d$	$e$	$f$
$g$	$h$	$i$

Each of the letters in the table above can have a value of 1, 2, or 3. Each row can only have exactly one of each of these numbers, and the same is true for each column. What is the value of $i$ ?

(1) $b+e=3$

(2) $h+f=5$

Ready4

The graph above shows the percentage of students who take various modes of transportation to/from school for each grade at Fairmount Middle School. If there are 200 6th graders, 300 7th graders, and 200 8th graders, how many students in total take the bus to/from school?

Ready4

Air and water pollution have done seriously and possibly irreversible damage to the famous white marble on the facade of the Taj Mahal, India's best-known monument.

Ready4

In the recently concluded parliamentary session, the finance minister has decided that the distressed financial companies need a second, larger infusion of government bailout loans to stay afloat.

Ready4

A rectangular rug is a third as long as it is wide. If its area is 45 square feet, then its dimensions in feet are

Ready4

One pocket of a backpack contains only pencils, pens, and highlighters. If a writing utensil is selected at random from this pocket, what is the probability that the chosen writing utensil is either a pen or a highlighter?

(1) The probability of choosing a highlighter is $\frac{1}{8}$ .

(2) The probability of choosing a pencil is $\frac{1}{5}$

Ready4

If $x < 0$ , which of the following statements must decrease as $x$ decreases?

I. $10x-100$

II. $\frac{x-1}{x}$

III. $x^2-x$

Ready4

What is the area of rectangle $T$ ?

(1) The width of rectangle $T$ is $7$ .

(2) The perimeter of rectangle $T$ is $62$ .

Ready4

A small throw rug with a border of uniform width is shown. The width of the rug, not including the border, is 5 feet. What are the dimensions of the rug, including the border?

(1) The border has width of 1 foot and the area of the rug, not including the border, is $30 \text{ ft}^{2}$ .

(2) The area of the rug, including the border, is $56 \text{ ft}^2$ .

Ready4

On the circle above with center $O$ , the length of arc $HJK$ is $3 \pi$ . What is the circumference of the circle?

Ready4

Although the theater would increase its revenue by placing a snack bar in the lobby, we should not go forward with this plan. Installing a snack bar in the lobby would not be in everyone’s best interest. If people start bringing more snacks into the theater, the delicate furniture will become dirty more quickly.

The argument depends on which of the following?

Ready4

Researchers recently found that people who bought passes to individual fitness classes showed up 99 percent of the time, while those bought a package of five passes in advance only showed up 25 percent of the time. One explanation is that the more aware a gym patron is about the cost of a pass, the more likely that patron is to use it.

Which of the following would, if true, best serve as an alternative explanation of the results of the study?