Comparisons
Give an example of an illogical comparison
What is anything?
If x^-2 = 64, what is the value of x^(1/3) + x^0?
3/2
Verb like phrases that act as nouns (2 answers)
What are Infinitives and Gerunds?
If 1/3 of a number is 4 less than 1/2 of the number, the number is
24. Let x represent the unknown number. Since 1/3 of x is 4 less than 1/2 of x, x/3 = x/2 - 4. So, 2x = 3x - 24, giving x = 24.
What is the perimeter of a square that has an area of 25?
20
What is wrong with this sentence? Jill is smarter than anybody in her SAT class.
What is Jill cannot be better than herself?
Let the function f be defined by f(x) = 3x-1 and let the function g be defined by g(x) = x^2. If m is a positive number such that f(7) = g(m) + g(2), what is the value of m?
4
Choose the correct sentence: Kayaking is an interesting sport. Dan wants to kayak today.
What is this was a trick question, they're both correct
Susan weighs p pounds. If Susan gains 17 pounds, she will weigh as much as Carol, who weighs 8 pounds less than Judy. If Judy weighs x pounds, then Susan's weight, p, in terms of x is
x-25
What is the circumference of a circle in which a 5 by 12 rectangle is inscribed?
13pi. The length of a diagonal of a 5 by 12 rectangle is 13 (pythagorean theorem). The diagonal of the rectangle is the diameter of the circle inscribed, and C = 2(pi)r.
Which sentence is correct: A) There have been a lot less fans at the games lately. B) There has been a lot less traffic lately.
What is B?
A culture of 5000 bacteria triples every 15 minutes. What is the size of the bacteria population after 2 hours have elapsed?
32,805,000
Fix this sentence: Filling out applications for summer jobs is about as much fun as when you take the SAT.
What is when you take -> taking?
The regular price of software at a computer superstore is 12% off the retail price. During an annual sale, the same software is 25% off the regular price. If the retail price is p, what is the sale price in terms of p?
0.66p. Since the regular price of software is 12% off the retail price p, the regular price of the software can be expressed as 0.88p. So the sale price is 0.75 x 0.88p = 0.66p.
The height h of a cylinder equals the circumference of the cylinder. In terms of h, what is the volume of the cylinder?
(h^3)/4pi. h=2(pi)r, so r=h/2pi. Volume of cylinder = pi(r^2)h = pi[(h/2pi)^2]h = (h^3)/4pi.
Fix this sentence: Match each to countable or uncountable: fewer and less number and amount many and much
What is 112, 221
What is the equation of the graph obtained by shifting the graph of y=x^2 horizontally to the left 4 units and vertically down 3 units?
y = (x+4)^2 - 3
Correct the error: I bought my tickets, reserved the hotel room, and I planned the itinerary myself.
What is "remove I" or clear knowledge equivalent?
Jars A, B, and C each contain 8 marbles. What is the minimum number of marbles that must be transferred among the jars so that the ratio of the number of marbles in jar A to the number in jar B to the number in jar C is 1:2:3?
4. Since jars A, B, and C each contain 8 marbles, there are 24 marbles in the three jars. Let x, 2x, and 3x represent the new numbers of marbles in jars A, B, and C, respectively. Hence, x + 2x + 3x = 24 or 6x = 24, so x=4.
If the integer lengths of the three sides of a triangle are 4, x, and 9, what is the least possible perimeter of the triangle?
19. In the given triangle, 9-4
Fix each of the sentences (no partial credit): Her chances of getting an A aren't much better than the lottery. Of the students in the club, Deborah was the more popular. The pilot's main point of reference was the two lighthouse beacons
What is chances of winning, and points of reference were?
Working alone, Bill takes three times the amount of time to paint a fence that Mike takes. If Bill and Mike work together, they can paint the fence in 2 hours. If Mike works at the same rate as when he worked with Bill, how long would it take Mike working alone to paint the same fence?
2 hours and 40 minutes. If x represents the number of hours it takes Mike working alone to paint the fence, then 3x is the number of hours it takes Bill working alone to paint the fence. So 2(1/x) + 2(1/3x) = 1 gives x=8/3 hours.
Correct all of the sentences below (no partial credit): To say she is excitable is like saying Bill Gates is well off. The sheer magnitude was awesome, but I thought the aesthetics were less than appealing. The elegance of a proof lies more in its conciseness and clarity than in how clever it is.
What is saying or to say? correct cleverness
Fruit for a dessert costs $1.20 a pound. If 5 pounds of fruit are needed to make a dessert that serves 18 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
$8.00. If 5 pounds of fruit serve 18 people, then 5/18 pound serves one person, so 24 x 5/18 = 20/3 pounds. Since the fruit costs $1.20 a pound, the cost of the fruit needed to serve 24 people is 20/3 x $1.20 = $8.00.
What is the number of sides of a polygon in which the sum of the degree measures of the interior angles is 4 times the sum of the degree measures of the exterior angles?
10. Sum of the degree measures of exterior angles is 360. S = (n-2)180 = 4 x 360, where n=number of sides. Solving for (n-2) = 8 or n=10.