act-dog

As shown, the number line between 0 and 8 is divided into 6 segments of equal length by points A through E . _ Which of the following statements about √ 8 is true? 0 A B C D E 8 _

Deon often flies his kite. He can only fly his kite on days with wind. He does not fly his kite on every day with wind. For any given day, let Event A be that there is wind and let Event B be that Deon flies his kite. Which of the following values can P (A and B) be?

Whenever is defined, it is equivalent to: 3 2 x − x − 6x

The roots of a polynomial equation are 0 , 2 , and −5 . Which of the following is a factored form of the equation?

If = , then = ? x + y 8 y _ 2

Let the slope of 3x + 2y = 5 be m 1 , and the slope of x + 4y = 7 be m 2 . Which of the following is true?

The piecewise functions f and g are given. − x for x < 0 f (x) = { 1 − x for x ≥ 0 ⎪x⎪ + 7 for x ≤ −1 g (x) = { x − 3 for x > −1 What is the value of f (g ( − 1) ) ?

Let f be defined by f ( x ) = 4x + 7 . Let g be defined by g ( x ) = −2 x + 11x + 1 . The graphs of y = f ( x ) and y = g ( x ) intersect at one of the following ( x,y ) points. Which one?

A tourism organization randomly selected 100 tourists finishing their summer visit to Spain. The organization asked them how many cities they had toured in the country. The table shows the results. Based on these data, for the population of tourists that visited Spain during the summer, what is the best estimate of the mean number of cities toured? Number of cities 1 2 3 Number of tourists 10 40 50

Given that i is the imaginary unit, which of the following numbers is equal to (7 + 4i) ?

The product of 2 complex numbers, x and y , is a real number that is irrational. Which of the following statements cannot be true?

The real solution of the equation 3 e = 12 is:

The figure shows nABC , a right isosceles triangle, inscribed in a circle with center O and radius 10 cm. ⏜ What is the length, in centimeters, of arc A B shown as the thick curved line? A B 10 cm O C

It took Sam x minutes to bike the d miles from home to work. Returning home on the same route, it took Sam y minutes. On the way home his average speed was 2 times his average speed on the way to work. Which of the following equations gives y in terms of x ? _ x

The hyperbolas − = 1 and − = 1 are graphed 9 4 36 25 in the standard (x,y) coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas? y x O _ x 2 _ y

Given that f (x) = √ 2x − 1 , which of the following −1 expressions is the inverse function, f (x) ? _ 1

In the context of Passage A, the event described in the second paragraph (lines 26–45) most nearly serves to:

Which of the following statements best captures how the narrator of Passage A feels about the way his children might perceive the Brooklyn wind?

According to the narrator of Passage A, the branches of the London plane tree near the Court-Montague Building are notable for:

According to the narrator of Passage B, some manhole covers she encountered as a child were rubbed smooth partly because of:

It can reasonably be inferred from Passage B that one result of the excursions the narrator took around Brooklyn with her mother was the narrator’s:

Both passages are told from the point of view of narrators who:

The tone of both passages can best be described as a combination of:

Which of the following quotations from Passage B is most closely related to the themes in Passage A?

The reference to Cranberry Street in Passage A and the reference to streets paved with Belgian blocks in Passage B both serve to: