Cameron took 4 tests, and his scores were as follows: 100 , 60 , 80 , and 30 . Cameron took another test that was scored x . The mean score of the 5 tests he took is 72 . What is the value of x ?
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In the Venn diagram below, circles S , C , and P represent farms raising sheep, cows, and pigs, respectively. How many of the 47 farms represented in the diagram do not raise cows? S C 12 10 2 4 P
Marco designs a spinner wheel that has exactly 4 sections: red, blue, green, and yellow. He wants the spinner wheel to have a 25% chance of landing on each section. He spins the wheel 500 times. The results of the spins are shown in this table. Spinner Number of times wheel the spinner lands section in each section Red 80 Blue 165 Green 130 Yellow 125 Based on the results in this table, one of the following changes would be the best fix. Which one?
In nABC , ∠A and ∠C are congruent, and the measure of ∠B is 143.6° . What is the measure of ∠A ?
Which of the following expressions is equivalent to x − x − 30 ?
Which of the following matrices is equal to 5 ? [ 0 −5 ]
Lavonne purchased some tickets and snack vouchers for an upcoming event and gave them to the members of her work group. Each member of her work group received the same number of tickets and the same number of snack vouchers. The total number of tickets she gave to her group was 30 , and the total number of snack vouchers was 75 . Which of the following could be the number of members in Lavonne’s work group?
The initial speed, in miles per hour, of a certain car that skids to a stop can be estimated by multiplying the length of the skid, in feet, by 35 and then taking the square root of the product. According to this method, what is the estimated initial speed, in miles per hour, of the car when it makes a 108 -foot skid? _
If 6y = 5x − 1 , then x = ? _ 6
A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second? (Note: 1 mile = 5,280 feet)
An object is launched vertically at 30 meters per second from a 55 -meter-tall platform. The height, h (t) meters, of the object t seconds after launch is modeled by h (t) = −4.9 t + 30t + 55 . What will be the height, in meters, of the object 3 seconds after launch?
The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it? _ 1
For an angle with measure α in a right triangle, _ 5 _ 5 sin α = and tan α = . What is the value of cos α ? 13 12 _ 12
Which of the following values, if any, is the y -value of the solution set to the system of equations below? x − y = 7 − 4 x + 2 y = 2
Which of the following expressions is equivalent to (y + 7) ? 3 2
The sum of 3 positive integers is 180 , and the ratio of the integers is 5:3:2 . What is the value of the smallest of the integers?
Which of the following expressions is equivalent to ( x 2 − y 2 ) − ( 6 x 2 + 4xy − y 2 ) ?
Given i = √ −1 , what is √ 9 + √ −16 ?
The first 5 terms of an arithmetic sequence are 7 , 21 , 35 , 49 , and 63 . Let t n represent the n th term of the sequence. What is the value of t 25 ?
At a certain time of day, a flagpole casts a 9.0 -foot-long shadow and a nearby 4.0 -foot-tall fence post casts a 2.4 -foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?
In rectangle ABCD shown, segments B ‾E and C ‾E partition the rectangle into 3 triangles. Given DE = 7 centimeters, BE = 26 centimeters, and CE = 25 centimeters, what is the length, in centimeters, of B ‾C ? A B E D C
In a particular cleaning solution, the ratio of concentrated solution to water is 3:40 . How many cups of concentrated solution should be added to 5 gallons of water to make the cleaning solution in the given ratio? (Note: 4 cups = 1 quart; 4 quarts = 1 gallon)
Let f (t) = 7 e + 1 . Which of the following numbers is closest to the value of f (5) ? −1
Which of the following expresses 40° in radians? _ 2
Let the function f be defined as f (x) = −9 x . In the standard (x,y) coordinate plane, the graph of y = f (x) undergoes a transformation such that the result is the graph of y = f (x) − 4 . Under this transformation the graph of y = f (x) is: