act-dog

At a college track meet, there are 3 jumping events: high jump, long jump, and triple jump. The Venn diagram below shows the distribution of the number of athletes competing in each jumping event. How many athletes are competing in both high jump and triple jump but not long jump? high jump long jump 5 9 7 3 6 triple jump

A function, f , is defined by the equation f ( x ) = x + 5 . What is f ( 3 ) + 1 ?

It takes Collin 24 minutes to walk to school in the morning. What fraction of his 24 ‑hour day is spent walking to school in the morning? _ 1

Which of the following matrices is equal to 6 ? [ 0 −4 ]

For circle O shown, A , B , C , and D are on circle O ; A and B are as far apart as possible; C is halfway between A and B along circle O ; and D is halfway between C and B along circle O . What percent of the area enclosed ⏜ by circle O is enclosed by O ‾C , O‾D , and minor arc C D ? B D O A C

Given the function f (x) = 4 x − 14x + 12 , which of the following expressions is equivalent to f (x) ?

Which of the following is equivalent to (6x + 3y) − (y − 2x) ?

Bryce owns an apartment building. He charges $325 per month for each 1 ‑bedroom apartment and $410 per month for each 2 ‑bedroom apartment. Bryce charged a total of $4,905 in rent for 13 apartments this month. How many 1 ‑bedroom apartments did Bryce charge for this month?

A restaurant surveyed its customers to determine whether or not they like hamburgers and whether or not they like turkey burgers. The table shows the results of the survey. Like Do not like hamburgers hamburgers Total Like turkey 97 39 136 burgers Do not like 98 78 176 turkey burgers Total 195 117 312 To the nearest 1% , what percent of the customers who responded to the survey like hamburgers?

For what value of n does the quadratic equation x − 4x + n = 0 have solutions of x = 7 and x = −3 ?

The lengths of corresponding sides of 2 similar right triangles are in the ratio 4:5 . The hypotenuse of the smaller triangle is 20 inches long. How many inches long is the hypotenuse of the larger triangle?

What is the amplitude of the graph of function _ 1 f (x) = cos (3x + π) , shown in the standard (x,y) coordinate plane? y O x −1 _ 1

A circle in the standard (x,y) coordinate plane has its center at (3,−4) and passes through (0,0) . Which of the following is an equation for that circle?

√ 112 + √ 63 + √ 175 = ? _

Jeremy reaches into a box in the closet. The box contains 10 gloves that make up 5 matching pairs. He picks 1 glove at random and puts it on. Then he picks another glove at random. What is the probability that he has picked a matching pair? _ 1

Cameron’s bookshelf has 3 books with a rating of 10 , 5 books with a rating of 100 , and 2 books with a rating of 70 . There are no other books on the bookshelf. What is the expected value, to the nearest whole number, of the rating of a book randomly selected from Cameron’s bookshelf?

The 1 st term of a certain sequence is −10 , and the 2 nd term is 1 . Each subsequent term is obtained by adding the 2 immediately preceding terms. What is the 5 th term of this sequence?

Some values of the function g are given in the table. One of the following equations defines g . Which one? x −2 0 1 2 3 g ( x) 0 −8 −6 0 10

The vertex angle of an isosceles triangle is 40° . What is the measure of a base angle?

Equilateral triangle nABC is inscribed in circle O , as ⏜ shown. What is the degree measure of minor arc B C ? A O B C

Which of the following expressions equals the height, in feet, of the tree shown? ? 40° 18 feet

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