Assignment
PART A.
1) Simplify the following expression:
-3(6-8)3 - 2(24-8)2 + 10
2) Simplify the following expression:
(-7/6)2 + (-1/2) (5/3)
3) Simplify the radical expression:
5√32 - 3√48 + 4√18
4) Evaluate the following expression for x = -5 and y = -6
-2x3 - 3y2
5) Solve the equation. Show all work and show the complete check of your answer:
5x - 14 = -29
6) Solve the equation. Show all work and show the complete check of your answer:
5 - 4(7x + 2) = 5x - 6(6x - 3)
7) The formula for area of a triangle is given by A = (1/2)bh, where A = area of the triangle, b = length of the base of the triangle, and h = height of the triangle.
a) Solve the formula for h.
b) Use the new version of the formula you found in part (a) to find the height of a triangle that has an area of 28 square inches and a base length of 8 inches. Show all work and write a complete answer, including units.
8) Solve the inequality. Write the answer in set-builder notation and graph the solution set on a number line.
4x - 2 ≤ 7(x + 1)
9) In a sample of 2400 new iPhones, 18 were found to be defective. At this rate, how many defective iPhones would be expected in a sample of 10,000 new iPhones? Use a proportion to set up and solve this problem.
10) Student enrollment at a university was 8500 last year and 9200 this year. Find the percentage increase in enrollment, rounding your answer to the nearest tenth of a percent.
#11 - #15) You are an environmental scientist studying the causes of global warming, and you are using the data in the table below to determine the rate of increase in Global Carbon Emissions Per Capita (per person) over time. Use the data in the table to answer the questions that follow.
|
Year (x)
|
Global Carbon Emissions Per Capita (metric tons) (y)
|
|
2000
|
1.104
|
|
2001
|
1.11651
|
|
2002
|
1.11386
|
|
2003
|
1.16641
|
|
2004
|
1.21308
|
|
2005
|
1.24238
|
|
2006
|
1.26948
|
|
2007
|
1.28366
|
|
2008
|
1.30048
|
|
2009
|
1.27876
|
|
2010
|
1.32544
|
|
Year (x)
|
Global Carbon Emissions Per Capita (metric tons) (y)
|
|
1751
|
0.00367
|
|
1775
|
0.00442
|
|
1800
|
0.00808
|
|
1825
|
0.01532
|
|
1850
|
0.04277
|
|
1875
|
0.13091
|
|
1900
|
0.32364
|
|
1925
|
0.49942
|
|
1950
|
0.64683
|
|
1975
|
1.12896
|
11) By how much did global per capita carbon emissions change from 1775 to 1800? Show all work and write a complete answer, including units.
12) By how much did global per capita carbon emissions change from 1875 to 1900? Show all work and write a complete answer, including units.
13) By how much did global per capita carbon emissions change from 1975 to 2000? Show all work and write a complete answer, including units.
14) Find the percentage increase in per capita carbon emissions from 1850 to 1900. Show all work and write a complete answer, including units.
15) Find the percentage increase of per capita carbon emissions from 1950 to 2000. Show all work and write a complete answer, including units.