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Algebra Concepts
Equations & Inequalities
CLEP
Polynomial and Rational Functions
Exponential and Logarithmic Functions
100
These numbers belong to which group? .6, -2, 0, 23
What is rational numbers?
100
This is the value of x in the equation 100x+50=350
What is 3?
100
The greatest of the following. a. 2^(3^5) b. (2^3)^5 c. 3(2^5) d. (3^2)^5 e. 5^(3^2)
What is a. 2^(3^5)?
100
The vertex and intercept of f(x)=3x^2.
What is intercept (0,0) and vertex (0,0)
100
The solution to (2.6)^1.3
What is 3.46?
200
The verbal description of this expression. x=18
What is x is equal to eighteen?
200
The solution of the equation x+4(x-2)=3x+2(x-4)
What is infinitely many?
200
The points of the graph of 2x-y>4, on the xy- plane, are contained in the following quadrants. a. I, II, and III only b. I,II, and IV only c. I, III, and IV only d. II, III, and IV only e. I, II, III, and IV
What is c. I,III, and IV only?
200
The perimeter of a rectangle is 200 feet. With x representing the width of the rectangle, the written quadratic function for the area of the rectangle in terms of it's width and the vertex of the graph.
What is A=100x-x^2 and (50,2500)
200
These are the formulas for compound interest.
What is A=P((1+(r/n))^nt, and A=Pe^rt
300
This in exponential notation. (2x)(2x)(2x)(2x)
What is (2x)^4?
300
Colby is on a research ship that is tracking the movements of a whale that is 700 meters from the ship. The angle formed by the ocean surface and a line from the ship to the whale is 45 degrees. This is the depth of the whale.
What is ≈494.97 meters?
300
Megan invests $40,000 and at the same time, Dusty invests $10,000. The value of Megan's investment decreases by $4,000 per year, while the value of Dusty's investment increases by $1,000 per year. The following systems of equations that are used to find the number of years, t, that it will take for the values, v, of the two investments to be equal. a. V=40,000-t and V=10,000+t b. V=40,000-4t and V=10,000+t c. V=40,000-4,000t and V=10,000+1,000t
What is c?
300
A rectangular examination room in a doctor's office has a volume of x^3+11x^2+34x+24 cubic feet. The height of the room is x+1 feet. This is the number of square feet of floor space in the room.
What is x^2+10x+24 square feet.
300
A bank offers Kevin two types of interest-bearing accounts. The first account pays 5% interest compounded quarterly. The second account pays 3% interest compounded continuously. The account that earns the most money.
What is the account that earns 5% interest?
400
The simplified expression of [15(x+3)^3]/[9(x+3)^2]
What is (5x)/(3+5)
400
The solution of this equation 36x^2+24x=7
What is -(1/3)±√(11/6)
400
It is the value of "a" when x=-3 is the root of the equation x^3+3x^2-ax-12=0.
What is 4?
400
The concentration c, of a chemical in the bloodstream t, hours, after injection into muscle tissue is given by c=(3t^2+t)/(t^3+50), t≥0. The concentration is greatest when 3t^4+2t^3-300t-50=0. The approx. time to the nearest hundredth of an hour.
What is 4.49 hours?
400
The number N of bacteria in a culture is given by the model N=100e^kt, where t is the time (in hours), with t=0 corresponding to the time when N=100. When t=6, there are 140 bacteria. The lengh in time that it takes the bacteria population to double in size.
What is ≈12.36?
500
Jessica makes an investment of $1000 that earns an interest rate r. After 3 years, her investment compounded annually, will be worth 1000(1+r)^3 dollars. This is the expression as a polynomial in standard form.
What is 1000r^3+3000r^2+3000r+1000?
500
Kevin borrows $300 from Zac, and agrees to pay the money back plus $20 in interest after 6 months. Assuming that the interest is compounded monthly, this is the annual interest rate Kevin is paying.
What is ≈12.98%?
500
A ball is thrown straight into the air from a height of 4 feet. The height of the ball above the ground, in feet, t seconds after it is thrown is given by -16t^2+56t+4. The number of seconds the height of the ball will be at least 28 feet above the ground. a. .5 b. 1.5 c. 2.5 d. 3 e. 3.5
What is c. 2.5?
500
Dusty launches a ball upward from ground level with a initial velocity of 48 feet per second, and it's height h, (in feet) is h(t)=-16t^2+48t, 0≤t≤3 where t, is the time (in seconds). The possibility of the ball reaching 64 feet.
What is 0 chance, or none?
500
The percent of a present amount of radioactive cesium (Cs^137) that will remain after 100 years. Remember the fact that radioactive cesium has a half-life of 30 years.
What is 9.92%?