Find the range of the function when the
domain is {–3, –1.5, 0, 1, 4}.
f(x) = 3x^2 –4
What is {-4, -1, 2.75, 23, 44}
100
Determine whether point P is a solution of the linear inequality.
y <(7/8)x – 3; P(1, 0)
What is NO
100
Simplify the expression. No Negative exponents in the answer. x^4 y^-8 z^-2/x^-1 y^6 z^-10
What is x^5 z^8/ y^14
100
Simplify: (6x^2-5x+1)-(2x^2+x-3)
What is 4x^2-6x+4
100
Solve the equation. If the equation has no solutions, write no solution. If necessary, round to the nearest hundredth.
x^2 - 36 = 0
What is -6,6
200
Find the x- and y-intercepts of the line and Graph.
–3x +5y = – 24
What is (0,-24/5) (8,0)
200
Solve by graphing. Tell whether the system has one solution, no solution or infinitely many solutions.
2 + y = 2x;
y – 2x = 5
What is parallel lines therefore no solution.
200
Evaluate the expression: (2/3)^-2
What is (9/4)
200
Simplify and write in Standard form.
(x-2)(2x^2+x+4)
What is 2x^3-3x^2+2x-8
200
Solve the equation. If the equation has no solutions, write no solution. If necessary, round to the nearest hundredth.
5a^2 - 9a + 5 = 0
What is No Real Solutions.
300
Write an equation in slope-intercept form for the line through the given points. (2, –10); (5, – 6)
What is y=(4/3)x-(38/3)
300
Solve each system by elimination.
x + 2y = 5;
3x + y = 10
What is x=3, y=1
300
The population of a city is 2.95 million. It increases at a rate of 2.5% per year. What is the population of the city after 25 years?
What is 5,469,135 is the population after 25 years.
300
Fully factor: 98w^2 - 50u^6
What is 2(7w-5u^3)(7w+5u^3)
300
Solve the equation. If the equation has no solutions, write no solution. If necessary, round to the nearest hundredth.
9h^2 - 72h = -119
What is 5.67, 2.33
400
Write an equation in slope-intercept form for a line that passes through the given point and is perpendicular to the given line. y = 4x –7; (5, –1)
What is y=(-1/4)x + (1/4)
400
Use a system to model each situation. Solve by any method. Write a complete sentence to answer the question.
At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?
What is The cost for one sausage is $2.25.
The cost for one milk shake is $ 1.50.
400
Carbon-14 has a half-life of 5700 years. Scientists use this fact to determine the age of things made of organic material. Suppose the average page of a book containing approximately 0.5 mg of carbon-14 is put into a time capsule. How much carbon-14 will each page contain after 34,200 years? Express your answer in scientific notation.
What is 7.8125 x 10^-3
400
Fully factor: r^4 – 81
What is (r+3)(r-3)(r^2+9)
400
Your community wants to put a square fountain in a park. Around the fountain will be a sidewalk that is 3.5 ft wide. The total area that the fountain and sidewalk can be is 700 ft2. What are the dimensions of the fountain?
What is 19.46 ft by 19.46 ft
500
In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual production is projected to decrease by 0.06 million tons each year for the next five years. Write a linear function that models this situation and answer the following question: In three years how much sugar cane will be produce? Answer with a complete sentence.
What is
In 3 years0.52 million tons of sugar will be produced.
500
Use a system to model each situation. Solve by any method. Round answers to the nearest hundredth.
10. A quantity of 22% acid solution is being diluted with some 8% acid solution. The final solution must be 12% acid and contain 101 mL.
How much of each solution must be added to accomplish this?
a. Write a system of equations that describes the situation.
b. Solve the system.
c. Write a complete sentence to answer the question.
What is 28.86 ml of 22% acice and 72.14 ml of 8% acid will be needed to make 101 ml of 12% acid.
500
$5000 is invested at a rate of 12% per year compounded MONTHLY. Find the value of the investment after 5 years.
What is $9083.48
500
Factor: 56x^11 + 43x^6y^5 + 5xy^10
What is x(7x^5+y^5)(8x^5+5y^5)
500
The Garys have a triangular pennant of area 420 in^2 flying from the flagpole in their yard. The height of the triangle is 10 in. less than 5 times the base of the triangle. What are the dimensions of the pennant?