Arithmetic
193.275 / 1000 = a) .0193275 b) .193275 c) 1.93275 d) 1932.75 e) 193.275
What is b) .193275 When dividing by any multiple of 10, just move the decimal to the left as many spaces as there are 0's. 193.275 / 1000 = .193275
a = b
Quantity A: 4a + b
Quantity B: a + 4b
a) The quantity in Column A is greater b) The quantity in Column B is greater c) The two quantities are the same d) The relationship can not be determined from the information given
What is c) The two quantities are the same.
Quantity A vs B (see PowerPoint)
A = PS
B = SR
What is "the relationship cannot be determined."
A line in the xy-plane contains the points (5, 4) and (2, -1).
Quantity A: The slope of the line.
Quantity B: 0.
Quantity A is greater.
Quantity A: (1/12) + (1/9) + (1/4)
Quantity B: (1/4) + (1/12) + (1/8)
a) The quantity in column A is greater b) The quantity in column B is greater c) The two quantities are equal d) The relationship can not be determined from the information given
What is b) Quantity B is greater. In this case, think of the two columns as an equation. You can cancel like terms on both sides of the equation, so we can cancel the 1/16 and 1/4 and all you have left to compare is the last two terms, 1/8 and 1/9. 1/8 is greater.
a = 15
a + b = 29
Quantity A: a2
Quantity B: b2
What is The quantity A is greater
Quantity A vs B (see PowerPoint)
A = The length of a leg of an isosceles right triangle with area R
B = The length of a side of a square with area R
What is "choice A is greater"
In the xy-plane, one of the vertices of square S is the point (2, 2). The diagonals of S intersect at the point (6, 6).
Quantity A: The area of S.
Quantity B: 64
What is choice C/both are equal?
(24 * 2 / 8) - 4 * 2 = a) 8 b) 4 c) 0 d) -2 e) -4
What is e) -4
Order of operations. PEMDAS...
Quantity A: |m+25|
Quantity B: 25-m
What is choice D "the relationship cannot be determined from the given information"?
The total cost of 8 bagel at a bakery is x dollars. At this cost per bagel, which of the following represents the total cost, in dollars, of y bagels?
(xy)/8
The volume V of a right circular cylinder is V = pi*r2*h, where r is the radius of the base and h is the height of the cylinder. If the volume of a right circular cylinder is 45pi and its height is 5, what is the circumference of its base?
A: 3; B: 9; C: 3pi; D: 6pi; E: 9pi
What is choice D 6pi?
(24 * 22 * 216) / (28 * 24 *22) = a) 512 b) 256 c) 128 d) 64 e) 32
What is b) 256
Cancel like terms, 2^2 and 2^4 and all you have left is (2^16) / (2^8). Since they have the same base, 2, all you have to do is subtract the exponents, 2^(16 - 8) = 2^8 = 256
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x +3y = 60. Which of the following points lie inside region R?
Indicate all such points
A) (2, 18)
B) (5, 12)
C) (10, 7)
D) (12, 3)
E) (15, 2)
What are "choices B and D"?
How many integers are in the solution set of the inequality
x2 - 10 < 0
What is "seven"?
See PowerPoint.
What does 112.5 equal?
Column A 274
Column B 96
a) The quantity in Column A is greater b) The quantity in Column B is greater c) The two quantities are the same d) The relationship can not be determined from the information given.
What is c) The two quantities are equal.
9 and 27 are multiples of 3, so replace them with exponents, 3^2 and 3^3 respectively. Subsitute back into the original expressions and you get, (33)4 and (32)6. Simplify and you get 312 for both expression, so both are equal.
Machine A, working alone at its content rate, produces x pounds of peanut butter in 12 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
______ minutes
How long is 7.2 minutes?
Quantity A vs B (see PowerPoint)
A = c
B = d
What is "quantity A is greater"?
A flat, rectangular flower bed with an area of 2,400 square feet is bordered by a fence on three sides and by a walkway on the fourth side. If the entire length of the fence is 140 feet, which of the following could be the length, in feet, of one of the sides of the flower bed?
A20; B30; C40; D50; E60; F70; G80; H90
What are choices B30; C40; E60; G80