Math
10(23+7)=100ℓ+100ℓ
What is the value of ℓ in the equation above?
ℓ = 3/2 or 1.5
(x + 2)(x - 2) = 0
How many distinct real solutions does the equation above have?
2
Billy, although he had a great sense of timing for stand-up comedy, were handicapped by his poor memory.
A) NO CHANGE
B) have been
C) was
D) were being
C) was
Chinese cuisine is like both science and art, it requires experimentation, trial-and-error, and years of experience.
A) NO CHANGE
B) art: it requires,
C) art; it requires
D) art it requires
C) art; it requires
Although the black diamond ski run was clearly marked, Simon insisted which he thought it was a less-challenging green circle trail.
A) NO CHANGE
B) insisted that
C) insisting
D) insisted in
B) insisted that
At a certain movie theater, the ratio of length to width of the movie screen is 16:9. If the length of the screen is 90 feet, then, to the nearest foot, how many feet is its width?
51 feet
A polynomial function has zeros at 3/4 and -1. Which of the following must be a factor of the polynomial?
A) x - 1
B) x + 1
C) 3x - 4
D) 3x + 4
B) x + 1
Jill was kind, thoughtful, and being considerate to her friends.
A) NO CHANGE
B) considerate
C) considered
D) consider
B) considerate
The leaf insect, easily mistaken for a real leaf, maintains a constant wobble as part of its illusion.
A) NO CHANGE
B) leaf
C) leaf.
D) leaf;
A) NO CHANGE
A movie fanatic has amassed a giant collection of home movies, some on DVD and others in the older VHS cassette mode. If the fanatic has 308 movies on DVD, which comprises 31.3% percent of the total collection, how many total movies are in the collection?
984 movies
P=67,000+2,820m
The total payments, P, in dollars, made by a homeowner m months after starting payments on a home mortgage is given by the equation above. What is the best interpretation of 67,000 as shown in the equation above?
The first payment was 67,000 dollars.
(2x+5)(−mx+9)=0
In the equation above, m is a constant. If the equation has the solutions x= -5/2 and x = 3/2, what is the value of m?
m = 6
Krista didn’t know how to precede when her history teacher fell asleep during her presentation.
A) NO CHANGE
B) proceed
C) proceeds
D) cede
B) proceed
After Karen and Gemma had both submitted their entries to the Make Your Own Shake and Bake Cake competition, the judge said that the other's entry was the clear winner.
A) NO CHANGE
B) her
C) one's
D) the latter's
D) the latter's
The equation below models the height, h, in feet above the water for a cable in a suspension bridge at a horizontal distance, x, in feet from the beginning of the span.
h=0.0002(x−1,955)2+100
How many feet above the water is the lowest point on the cable?
100 feet
Which of the following is equivalent to (2)3x?
A) 6x
B) 63x
C) 8x
D) 83x
C) 8x
A particular car has a fuel efficiency of 8 liters (L) of gasoline per 100 kilometers (km). What is the fuel efficiency in miles per gallon (mi/gal)? Round to the nearest integer.
Note: There are approximately 1.6 km in 1 mi, and approximately 3.8 L in 1 gal.
30 mi/gal
A politician can be more adept than philosophy in finding a complex interpretation for an apparently simple event.
A) NO CHANGE
B) a philosopher
C) the process of philosophy
D) philosophizing
B) a philosopher
Numerous research projects, including the benchmark Framingham Heart Study, demonstrate that taking a vacation can have well-connected health benefits.
A) NO CHANGE
B) valuable
C) prestigious
D) weighty
B) valuable
The world's most highly successful people carefully preserve their restorative habits, such as to get physical activity, making time for hobbies, and practicing stillness.
A) NO CHANGE
B) getting
C) having gotten
D) gets
B) getting
Let f(x) = x - (1/x) and g(x) = (1/x). Assuming x does not equal 0, what is f(g(x))?
A)
xB) 0
C) x
D) (1/x) - x
D) (1/x) - x
12 grams (g)of a chemical are added to a metal. The amount A, in grams, of the chemical remaining during a reaction with a metal plate decreases by 0.5 g per second. If instead the plate were dissolved, the amount A', in grams, of chemical remaining would decrease by half of itself every 4 seconds. How many grams greater is A than A' after 12 seconds?
4.5 g
The author wants to use understatement as a rhetorical style. Which choice best accomplishes this goal?
You took my brand-new car without asking, drove it 800 miles, and scraped the entire front bumper? Yeah, you could say I’m extremely upset!
B) This makes me so happy!
C) Yeah, you could say I'm a little annoyed!
D) I've never been angrier in my life!
C) Yeah, you could say I'm a little annoyed!
The author wants to use irony in order to communicate disapproval of the bad weather. Which choice best accomplishes this goal?
According to the weather station, we should expect rain, hail, and an assortment of small pets to descend from the sky later this afternoon. Well, isn’t that just a lovely forecast.
A) NO CHANGE
B) rocky
C) fragile
D) unpromising
A) NO CHANGE
A cylinder and cone have equal volumes and radii of equal length. If the height of the cone is 24 centimeters, then what is the height of the cylinder in centimeters?
8 cm