Expressions and Operations
Relations and Functions
Statistical Analysis
Equations and Inequalities
Functions and Statistics
100
Which expression is equivalent to √36x9y25, where x>0 and y>0 ?
6x9/2y25/2
100
What is the solution set for: x2-4x=8
2+/-2√3
100
In 1940 the life expectancy at birth in the general public was 62.9 years. By 1980, it had risen to 73.7 years. Assuming a linear relation, what is the best prediction of life expectancy in the year 2000?
79.1
100
Which is the solution to |2x−4|>8?
x<-2
or
x>6
100
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000 miles?
81%
200
What is the sum of (2−5i) and (3+i)?
5-4i
200
Two arithmetic means between 3 and 24 are
10 and 17
200
In 1990, sales at ABC Electronics totaled 4.9 million dollars. During 1996, total sales amounted to 12.1 million. Assuming the growth in sales is a linear relation, what total sales can the company expect in 2001?
18.1 million
200
The height of a right triangle is 5 units more than twice its base. If the area of the triangle is 21 square units, what is its height?
12 units
200
The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces. To be graded extra large, an egg must weigh at least 2 ounces. What is the probability that an egg from this farm will be graded extra large?
0.066
300
Factor: (2x+1)(4x2-2x+1)
8x3+1
300
If f(x)=5x2-7, what is f(-3)?
38
300
The Social Security (FICA) wage base, y, (in thousands of dollars) from 1983 to 1999 is given by the equation y=1.9x+34.1, where x is the number of years since 1983. What was the FICA wage base in 1995?
$56,900
300
Which of the following represents the solution to |x|=7?
x=-7
or
x=7
300
Determine the inverse of f(x)=(x+2)2-3
x is greater than or equal to 2
-2+√x+3
400
Which property is illustrated by the following statement?: 4(1/4)=1
Multiplicative inverse property
400
f(x)=√x2-1
g(x)=x2
What is g(f(x))?
x2-1
400
Kelly had a mathematics score of 85. Using a line of best fit, what is the best prediction for her history score?
Between 80 and 85
400
What is the solution set for (3x+1)2=0?
-1/3
400
If temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?
3750
500
For which value of b is x 2 +bx−60 factorable over the set of integers?
-7
500
Wind chill factor (W) varies directly with temperature (T) and inversely with the wind velocity (v). If k is the constant of proportionality, which formula represents this relationship?
W = kT/v
500
Assuming a linear relationship, approximately how much would you expect a family with an annual income of $33,000 to spend on clothes?
4,600
500
Which quadratic equation has solutions
x=1/2
and
x=2/3
6x2-7x+2=0
500
What is the 14th term of the arithmetic sequence with a first term of 7 and a common difference of 10?
137