ADAR-tude
Always right
Jingoist
What verb means to produce, cause, or give rise to something?
Engender
What is the formula for the area of a trapezoid with bases 𝑏1 and 𝑏2 and height h?
A=1/2(b1+b2)h
The sum of two consecutive even integers is 46. What are the integers?
Let 𝑥 be the first even integer.
The next even integer is 𝑥+(x+2).
According to the problem, 𝑥+(𝑥+2)=46.
Solve for 𝑥: 2𝑥+2=46
2𝑥=44
𝑥=22
So, the integers are 22 and 24.
The difference between a number and its square is 72. What is the number?
x2 – x = 72. Solve for x using the quadratic formula and x = 9 and –8. Only 9 satisfies the restrictions.
Someone who has a strong dislike for people in general can be described with this term
Misanthrope
What noun refers to testing to determine the ingredients or quality of something?
Assay
What is the formula for the volume of a cylinder with radius 𝑟 and height ℎ?
V=πr2h
A rectangular garden has a length that is 3 meters longer than its width. If the perimeter is 30 meters, what are the dimensions of the garden?
Let 𝑤 be the width of the garden.
The length is 𝑤+3.
Perimeter = 2(length + width)
30=2(𝑤+𝑤+3)
30=2(2𝑤+3)
15=2𝑤+3
12=2𝑤
w=6
What are the roots to the function f(x)=2x2−7x−4 ?
4 and -1/2
This term, derived from Latin, describes someone who is resolutely stubborn, refusing to yield or change their stance, even in the face of compelling arguments.
Obdurate
What verb means to act in an excessively subservient manner?
Kowtow
What is the formula for the circumference of a circle with radius 𝑟?
C=2πr
The area of a rectangle is 56 square meters. If the length is 4 meters longer than the width, what are the dimensions of the rectangle?
Let 𝑤 be the width of the rectangle.
The length is 𝑤+4.
Area = length × width
56=(w+4)×w
56=w2+4w
w2+4w−56=0
(w+14)(w−10)=0
w=10 (since width cannot be negative)
So, the dimensions are 10 meters by 14 meters.
36x2 -12x - 15 = 0
solve for x
-1/2 and 5/6
This word, often associated with the display of opulence and excess, encompasses the extravagant exhibition of wealth or possessions, typically in a showy or pretentious manner.
Ostentation
What adjective describes something excessively complicated or intricate?
Byzantine
How do you find the total number of degrees of a polygon?
Total degrees = 180(n-2), where n = # of sides
What word means done routinely or with little interest or care?
Perfunctory
Solve for x: x2 = 45 - 12x
-15 or 3
An individual who not only challenges prevailing beliefs or institutions but actively seeks to dismantle or overthrow them, often to the dismay of society, can be labeled as this.
Iconoclast
What noun refers to an unexpected change or variation in circumstances or fortune?
Vicissitude
How do you know if a number is divisible by 3?
The sum of the digits is divisible by 3
What word means to reduce the force or effect of something?
Attenuate
In the equation 3x2−16x−12=0 what are the values of x?
-2/3, 6