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david has Authored 141 Questions  | A. 4 B. 8 C. 9 D. 12 E. 18 Since y = ƒ(x) is inversely proportional to x, it follows that ƒ(x) = for some constant c. You can use ƒ(3) = 6 to find the value of c: = 6, so c = 18.
Therefore, ƒ(2) = = 9. |
| A. Ted Kennedy B. Ted Rogers C. Teddy Roosevelt D. Ted Schwartz Teddy bears named after Teddy Roosevelt. |
| A. Lewis and Clark B. Sam and Sullivan C. Declan and Sila D. Roger and Pete Lewis and Clark crossed the continental divide in 1805. |
| A. New Year's Day B. Boxing Day C. President's Day D. Labor Day National holidays include:
New Year's Day
Martin Luther King, Jr. Day
President's Day
Memorial Day
Independence Day
Labor Day
Columbus Day
Veterans Day
Thanksgiving
Christmas |
| A. April 1 B. July 1 C. July 4 D. December 15 July 4th is Independence Day. |
| A. We're Not Going To Take It B. The Star-Spangled Banner C. Stars and Stripes D. Hey King, Kiss My Mule The Star-Spangled Banner is the name of the national anthem. |
| A. Because 50 people signed the Constitution B. Because 50 people signed the Declaration of Independence C. Because Lincoln wanted it that way D. Because there are 50 states The flag has 50 stars because there are 50 states. |
| A. Because 13 people signed the Constitution B. Because 13 people signed the Declaration of Independence C. Because there were 13 original colonies D. Because that was Washington's birthday The flag has 13 stripes because there were 13 original colonies. |
| A. New York B. Massachusetts C. Maine D. Oregon The Statue of Liberty is in New York. |
| A. New York B. California C. Washington, D.C. D. Arizona Washington, D.C. is the capital of the United States. |
| A. California B. Florida C. Arizona D. Texas States that border Mexico include:
California
Arizona
New Mexico
Texas |
| A. Maine B. Vermont C. Idaho D. Oregon States that border Canada include:
Maine
New Hampshire
Vermont
New York
Pennsylvania
Ohio
Michigan
Minnesota
North Dakota
Montana
Idaho
Washington
Alaska |
| A. Puerto Rico B. Cuba C. Northern Mariana Islands D. Guam Cuba is not a U.S. territory. U.S. territories include:
Puerto Rico
U.S. Virgin Islands
American Samoa
Northern Mariana Islands
Guam |
| A. Pacific Ocean B. Atlantic Ocean C. Indian Ocean D. Arctic Ocean The Atlantic Ocean is on the West Coast of the United States. |
| A. Pacific Ocean B. Atlantic Ocean C. Indian Ocean D. Arctic Ocean The Pacific Ocean is on the West Coast of the United States. |
| A. Missouri and Thames B. Missouri and Mississippi C. Missouri and Nile D. Missouri and Colorado Missouri and Mississippi are the two longest rivers in the United States. |
| A. MackaPacka B. Cherokee C. Navajo D. Apache Federally recognized American Indian tribes include:
Cherokee
Navajo
Apache
Sioux
Chippewa
Choctaw
Pueblo
Iroquois
Creek
Blackfeet
Seminole
Cheyenne
Arawak
Shawnee
Mohegan
Huron
Oneida
Lakota
Crow
Teton
Hopi
Inuit |
| A. The stock market crashed B. Terrorists attacked the United States C. President Bush was elected D. Martin Luthor King Jr. was shot Terrorists attacked the United States on September 11, 2001. |
| A. Opened the first plantation B. Killed off Communism C. Ran the CIA D. Fought for civil rights and worked for equality for all Americans. Martin Luther King fought for civil rights and worked for equality for all Americans. |
| A. Civil rights (movement) B. Sufferance C. Communist D. Cubism The civil rights movement tried to end racial discrimination. |
| A. Slavery B. Communism C. Christianity D. The French Communism was the main concern of the United States during the Cold War. |
| A. The Civil War B. World War I C. World War II D. Spanish-American War Before he was President, Eisenhower was a general in World War II. |
| A. Japan, Germany, and Italy B. Japan, Germany, and France C. Japan, France, and Italy D. France, Germany, and Italy The United States fought Japan, Germany, and Italy in World War II. |
| A. George Bush B. Franklin Roosevelt C. Woodrow Wilson D. Abraham Lincoln Franklin Roosevelt was President during the Great Depression and World War II. |
| A. George Bush B. Franklin Roosevelt C. Woodrow Wilson D. Abraham Lincoln Woodrow Wilson was the President during World War I. |
| A. World War I B. World War II C. Korean War D. Civil War The Civil War occurred between 1861–1865. Wars that were fought in the 1900s include:
World War I
World War II
Korean War
Vietnam War
(Persian) Gulf War. |
| A. Wrote the Star Spangled Banner B. Fought for women's rights as well as civil rights C. Flew across the Atlantic D. Married Abraham Lincoln Susan B. Anthony fought for both women's and civil rights. |
| A. Started the Civil War B. Gave special powers to Native Americans C. Freed the slaves D. Stopped payments of taxes to the British The Emancipation Proclamation freed the slaves. |
| A. Freed the slaves (Emancipation Proclamation) B. Signed the Constitution C. Saved (or preserved) the Union D. Led the United States during the Civil War Abraham Lincoln:
Freed the slaves (Emancipation Proclamation)
Saved (or preserved) the Union
Led the United States during the Civil War |
| A. Slavery B. Economic reasons C. The Louisiana purchase D. States’ rights Problems that led to the Civil War include:
Slavery
Economic reasons
States’ rights |
| A. War of 1812 B. Mexican-American War C. Civil War D. Spanish-American War The Civil War was the U.S. war between the North and the South. |
| A. War of 1812 B. Mexican-American War C. The Plantation War D. Spanish-American War Wars fought by the United States in the 1800s include
War of 1812
Mexican-American War
Civil War
Spanish-American War |
| A. Louisiana B. Minnesota C. Florida D. Oregon The United States bought Louisiana from France in 1803. |
| A. George Washington B. Abraham Lincoln C. James Madison D. John Hancock George Washington was the first President. |
| A. George Washington B. Abraham Lincoln C. James Madison D. John Hancock George Washington is the “Father of Our Country”. |
| A. U.S. diplomat B. Vice President C. Started the first free libraries D. Oldest member of the Constitutional Convention Benjamin Franklin was never the Vice President. He is famous for:
U.S. diplomat
Oldest member of the Constitutional Convention
First Postmaster General of the United States
Writer of “Poor Richard’s Almanac”
Started the first free libraries |
| A. James Madison B. Alexander Hamilton C. John Jay D. John Wilkes Booth John Wilkes Booth is known for assassinating Abraham Lincoln. Writers of the Federalist Papers that supported the passage of the U.S. Constitution included:
James Madison
Alexander Hamilton
John Jay
Publius |
| A. 1784 B. 1785 C. 1786 D. 1787 The Constitution was written in 1787. |
| A. Fun was had by all B. Lincoln was shot C. The Constitution was written D. Washington cut down a cherry tree The Constitution was written at the Constitutional Convention. |
| A. Rhode Island B. Massachusetts C. Georgia D. Florida The 13 original states were:
New Hampshire
Massachusetts
Rhode Island
Connecticut
New York
New Jersey
Pennsylvania
Delaware
Maryland
Virginia
North Carolina
South Carolina
Georgia |
| A. July 4, 1776 B. April 3rd, 1776 C. July 4, 1778 D. March 9, 1778 The Declaration of Independence adopted on July 4, 1776. |
| A. Abraham Lincoln B. George Washington C. Thomas Jefferson D. Ben Franklin Thomas Jefferson wrote the Declaration of Independence. |
| A. Because of high taxes (taxation without representation) B. Because the British army stayed in their houses (boarding, quartering) C. Because they could not practice their own religion D. Because they didn’t have self-government Colonists fought the British because of:
high taxes (taxation without representation)
British army stayed in their houses (boarding, quartering)
Didn’t have self-government |
| A. Native Americans B. Africans C. The Dutch D. The French Africans (people from Africa) were taken to America and sold as slaves. |
| A. The French B. The Spanish C. The Germans D. American Indians (Native Americans) American Indians (Native Americans) lived in America before the Europeans arrived. |
| A. Conscription B. Freedom C. Political liberty D. Practice their religion Colonists did not come to America via conscription. They did come for:
Freedom
Political liberty
Religious freedom
Economic opportunity
Practice their religion
Escape persecution |
| A. When they become citizens B. Reach age 18 or are between 18 and 26 C. When they go to vote D. When they decide to enroll in higher education All men register for the Selective Service when they turn 18 or are between 18 and 26. |
| A. December 31 B. January 1 C. April 1 D. April 15 April 15 is the last day you can send in federal income tax forms. |
| A. Vote B. Lynch C. Call Senators and Representatives D. Publicly support or oppose an issue or policy Lynch? Really? I hope not. Ways that Americans can participate in their democracy include:
Vote
Join a political party
Help with a campaign
Join a civic group
Join a community group
Give an elected official your opinion on an issue
Call Senators and Representatives
Publicly support or oppose an issue or policy
Run for office
Write to a newspaper |
| A. 16 B. 18 C. 19 D. 21 Citizens have to be 18 years old to vote for President. |
| A. Give up loyalty to other countries B. Defend the Constitution and laws of the United States C. Give up your culture D. Serve in the U.S. military (if needed) You do not have to give up your culture when you become a United States citizen. You do promise to:
Give up loyalty to other countries
Defend the Constitution and laws of the United States
Obey the laws of the United States
Serve in the U.S. military (if needed)
Serve (do important work for) the nation (if needed)
Be loyal to the United States |
| A. The President B. God C. Our neighbors D. The flag We show loyalty to both the flag and the United States when we say the Pledge of Allegiance. |
| A. Freedom of good health B. Freedom of expression C. Freedom of speech D. Freedom of assembly Freedom of good health is not a right of everyone living in the United States. Examples or rights of everyone living in the United States include:
Freedom of expression
Freedom of speech
Freedom of assembly
Freedom to petition the government
Freedom of worship
The right to bear arms |
| A. Join a political party B. Serve on a jury C. Go to school D. Vote in a federal election Vote in a federal election is one right that is only for United States citizens. Another is to run for federal office. |
| A. Join a political party B. Serve on a jury C. Go to school D. Agree with the President Serve on a jury is one responsibility that is only for United States citizens. Another is to vote in a federal election. |
| A. Citizens eighteen (18) and older (can vote). B. You don’t have to pay (a poll tax) to vote. C. Any citizen can vote. (Women and men can vote.) D. Citizens of any religion (can vote). There are four amendments to the Constitution about who can vote. They are:
Citizens eighteen (18) and older (can vote).
You don’t have to pay (a poll tax) to vote.
Any citizen can vote. (Women and men can vote.)A male citizen of any race (can vote). |
| A. The Tories and the Whigs B. The Democratic and the Tories C. The Democratic and the Whigs D. The Democratic and Republican The Democratic and Republican parties are the two major political parties of the United States. |
| A. To print money B. To provide schooling and education C. To give a driver’s license D. To approve zoning and land use Printing money is NOT a power of the states. Examples of powers of the states include
To provide schooling and education
To provide protection (police)
To provide safety (fire departments)
To give a driver’s license
To approve zoning and land use |
| A. To print money B. To appoint a President C. To declare war D. To make treaties Appointing a President is NOT a power of the federal government. Examples of the power of the federal government include
To print money
To declare war
To make treaties
To create an army |
| A. 8 B. 9 C. 10 D. 12 There are 9 justices are on the Supreme Court. |
| A. People's Court B. The Judicial Court C. The Court of Commons D. The Supreme Court The Supreme Court is the highest court in the United States. |
| A. Reviews laws B. Explains laws C. Resolves disputes (disagreements) D. Creates laws The judicial branch does not create laws. The judicial branch:
Reviews laws
Explains laws
Resolves disputes (disagreements)
Decides if a law goes against the Constitution |
| A. Secretary of Agriculture B. Attorney General C. Senator D. Vice President A senator is not a Cabinet-level position. Examples of Cabinet-level positions include:
Secretary of Agriculture
Secretary of Commerce
Secretary of Defense
Secretary of Education
Secretary of Energy
Secretary of Health and Human Services
Secretary of Homeland Security
Secretary of Housing and Urban Development
Secretary of the Interior
Secretary of Labor
Secretary of State
Secretary of Transportation
Secretary of the Treasury
Secretary of Veterans Affairs
Attorney General
Vice President |
| A. Makes sure the House agrees with the President B. Controls the Senate C. Advises the President D. Controls the Armed Forces The President’s Cabinet advises the President. |
| A. The General B. The President C. The Vice President D. The Speaker of the House The President vetoes bills. |
| A. The General B. The President C. The Vice President D. The Speaker of the House The President signs bills to become laws. |
| A. The General B. The President C. The Vice President D. The Speaker of the House The President is the Commander in Chief of the military. |
| A. The Lead Senator B. The President's Spouse C. The Speaker of the House D. The King The Speaker of the House becomes President if both the President and the Vice President can no longer serve. |
| A. The Vice President B. The Speaker of the House C. The President's spouse D. The Lead Senator The Vice President becomes President if the President can no longer serve. |
| A. March B. June C. October D. November A President is elected in November |
| A. 2 B. 3 C. 4 D. 6 A President is elected for 4 years |
| A. Because of the state’s population B. Because they have more people C. Because some states have more people D. Because they are closer to Washington Some states have more Representatives than other states because:
The state’s population
They have more people
Some states have more people |
| A. The President B. The Vice President C. The Dominion D. The people of their state A U.S. Senator represents the people of their state. |
| A. 1 B. 2 C. 3 D. 4 A U.S. Representative is elected for 2 years |
| A. 360 B. 365 C. 435 D. 468 The House of Representatives has 435 voting members. |
| A. 3 B. 4 C. 5 D. 6 A U.S. Senator is elected for how 6 years. |
| A. 25 B. 50 C. 100 D. 250 There are 100 U.S. Senators. |
| A. The Senate and House (of Representatives) B. The Senate and the White House C. The White House and the United Nations D. The House (of Representatives) and the United Nations The Senate and House (of Representatives) are the two parts of the U.S. Congress. |
| A. Congress B. Mayors C. Senate and House (of Representatives) D. (U.S. or national) legislature Federal laws are made by the following:
Congress
Senate and House (of Representatives)
(U.S. or national) legislature. |
| A. The Speaker of the House B. Senators C. The President D. The Vice President The President is in charge of the executive branch. |
| A. Checks and balances and a separation of powers B. Role of Vice President and President C. The speaker of the house's veto power D. The President's veto power Checks and balances and a separation of powers stops one branch of government from becoming too powerful. |
| A. Congress B. Legislative C. University D. President All of the following are branches or parts of government:
Congress
Legislative
President
Executive
The courts
Judicial
|
| A. Everyone must follow the law. B. Leaders must obey the law. C. The Vice President is above the law. D. Government must obey the law. The “rule of law” states:
Everyone must follow the law.
Leaders must obey the law.
Government must obey the law.
No one is above the law. |
| A. Capitalist economy B. Market economy C. Both A and B D. None of the above Both capitalist economy and market economy make up the economic system in the United States? |
| A. You can practice any religion suggested by the senate. B. You can practice any religion suggested by the President. C. You can practice any religion, or not practice a religion. D. You can practice any Christian religion. Freedom of religion is the right to practice any religion or not to practice any religion. |
| A. Love B. Liberty C. Life D. Pursuit of happiness Although love is pretty sweet, it is not a right provided by the Declaration of Independence. Life, liberty and the pursuit of happiness are. |
| A. Announced our independence (from Great Britain) B. Declared our independence (from Great Britain) C. Said that the United States is free (from Great Britain) D. Recognized the sovereignty of the royals (from Great Britain) The Declaration of Independence did the following:
Announced our independence (from Great Britain)
Declared our independence (from Great Britain)
Said that the United States is free (from Great Britain) |
| A. 13 B. 16 C. 27 D. 31 There are 27 amendments to the Constitution |
| A. Speech B. Religion C. Assembly D. Keep and Bear Arms The Right to Keep and Bear Arms was introduced in the Second Amendment to the Constitution.
Examples of Rights and Freedoms in the First Amendment include:
Speech
Religion
Assembly
Press
Petition the Government |
| A. The Group of Ten B. The Laws of the Land C. The Bill of Rights D. The Constitutional Ten The Bill of Rights is the first ten amendments to the Constitution |
| A. A change (to the Constitution) B. An addition (to the Constitution) C. Either of the above D. Neither of the above An amendment is either a change or an addition to the Constitution. |
| A. For the People B. We the People C. Oh those People D. All the People The first three words of the Constitution that summarize the idea of self-government is "We the People" |
| A. Sets up the government B. Defines the government C. Protects basic rights of Americans D. Gives the president ultimate power The Consitituion defines the government, defines the government and protects basic rights of Americans |
| A. The Constitution B. The Bill or Rights C. The Seal of the President D. The National Convention The American Constitution is the supreme law of the land. |
| A. 5 B. 6 C. 9 D. 10 1!=1 and 2!=2•1=2 and 3!=3•2•1=6. Therefore, the sum equals 1+2+6=9. |
| A. (0,5) B. (0,-5) C. (0,3) D. (0,-3) Put the equation in y=mx+b form and read the value for b.
y=3x+5 and b=5. The y-intercept is at 5. The coordinates are (0,5). |
| A. 5 B. 6 C. 8 D. 9 Remember that the sum of any two sides of a triangle must be larger than the third side. The third side could be as small as 3, or as large as 13, and still make this rule true. This is a total of 11 values. |
| A. $60 B. $72 C. $96 D. $192 25% of the original price can be represented algebraically by (0.25)(x). This expression equals $48. So we have (0.25)(x)=48. To solve for x, divide each side of the equation by 0.25. The value for x is 192. |
| A. 10vt
B. vt
C. v/6
D. 10v
In 10 minutes (1/6 hour), distance traveled = speed x time = v x (1/6) = v/6.
The total time of t hours is redundant information. |
| A. 10 B. 85 C. 105 D. 190 If you got this question wrong, you either misread it or forgot the correct order of operations. Solve what’s inside the parentheses first. Translating the information to an equation, we’d get the following:
(1 + 2)(2 + 3)(3 + 4) = 1/2(20 + x)
(3)(5)(7) = 1/2(20 + x)
105 = 1/2(20 + x)
210 = 20 + x
190 = x |
| A. 30 B. 32 C. 36 D. 40 Set up the ratio on one television and solve for the appropriate value of the other television.
x/400 = 10/125
x = [(10)(400)]/125 = 4000/125 = 32 |
| A. 25 B. 134 C. 144 D. 150 This is a revolution problem and if it spins 150 degrees in one second we simply find the number of degrees that represents a minute. Then we will divide the total degrees by 360 degrees since there are 360 degrees in one revolution.
150 x 60 = 9000
9000/360 = 25 |
| A. 8 B. 9 C. 10 D. 11 For the least possible value here for a + b, focus on a because it will be multiplied by 4. That gives you the chance to have a small value for b.
4a + 2b = 30
4(7) + 2(1) = 30
7 + 1 = 8 |
| A. 3/4 B. 5/4 C. 1 D. either 1 or 5/4 If the congruent legs of the isosceles triangle are each 1/4, their sum does not exceed the length of the base, 1/2. Remember that in any triangle, the sum of two sides must exceed the length of the third side. The only arrangement of the lengths is the placement of the 1/2 on the congruent legs and the 1/4 on the base. |
| A. 1 B. 2 C. 3 D. 4 This is a compound locus problem. Do each part separately and see where the results intersect. First, the points equidistant from the two parallel lines is a third parallel line half way between the two given lines (in this problem, 6 units from each line). Draw this line as a dotted line. Second, the points equidistant from point A form a circle of radius 8. Draw the circle dotted. Look for the intersections of the dotted drawings. The dotted circle intersects the dotted line in two places. |
| A. 1 B. 5 C. 6 D. 11 b = 5a
b = 5(a + 6)
Distributing we get: b = 5a + 30 |
| A. 1 B. 2 C. 4 D. 6 Set up an example: If the side is 3, the area is 9. If the side is doubled (6), the area is 36. The area is multiplied by 4. |
| A. 24 B. 16 C. 28 D. -16 Be careful of this wording. "Subtracted from" means that we write -4 - 20 which equals -24. |
| A. 2 B. -2 C. -2/3 D. -3/2 Perpendicular lines have negative reciprocal slopes.
Rewrite the equation to read its slope: 3y=-2x+6
y=-2/3+2 so the slope is (-2/3). The negative reciprocal of (-2/3) is 3/2. |
| A. 8 B. 11.7 C. 12 D. 13.6 Use the Pythagorean Theorem c²=a²+b² |
| A. 1.5 B. 3/8 C. 5 D. 12/11 Distribution gives us 12x = 4x + 12. Subtracting the 4x from both sides leaves 8x = 12. Dividing both sides by 8 gives an answer of x = 12/8 = 1.5 |
| A. -21/5 B. -5/23 C. -23/5 D. -24/5 (2x/3) + 2 = (x/4)
Find a common denominator and convert 2 to fraction form.
(8x/12) + (24/12) = (3x/12)
Multiply each side by 12.
8x +24 = 3x
Subtract 8x from each side.
24 = -5x
Divide each side by -5.
x = -24/5 |
| A. 1 / 9 B. 1 / 18 C. 64 / 4032 D. 63 / 64 The number of ways of choosing the first square is 64. The number of ways of choosing the second square is 63. There are a total of 64 * 63 = 4032 ways of choosing two squares. If the first square happens to be any of the four corner ones, the second square can be chosen in 2 ways. If the first square happens to be any of the 24 squares on the side of the chess board, the second square can be chosen in 3 ways. If the first square happens to be any of the 36 remaining squares, the second square can be chosen in 4 ways.
Hence the desired number of combinations = (4 * 2) + (24 * 3) + (36 * 4) = 224.
Therefore, the required probability = 224/4032 = 1/18 . |
| A. 0 B. 1 C. -1 D. -2 A horizontal line has "run" but no "rise". Thus rise/run becomes 0/run which is zero. |
| A. 0.075 B. 75 C. 3/4 D. 7.5 Seventy - five percent is 75 out of 100
75% = 75/100 = 0.75 = 3/4 |
| A. $100 B. $150 C. $200 D. $250 Represent each share by x. Jones has 4x, Brown has 3x and White has 2x. All of the shares together total $450. So we represent 4x+3x+2x=450. This gives 9x=450 and x=50 (so each share is $50). Since Brown has 3 shares he has $150. |
| A. A compass. B. A micrometer. C. A protractor. D. Vernier caliphers. Protractors are used to measure angles. |
| A. 16 B. 24 C. 48 D. It cannot be determined from the information given. The best way to solve questions like this is to try choices rather than to reason it out algebraically. Now, trying our choices, B works, but so does C. If you chose A, you should review remainders. If you chose B or c, you jumped at an answer too quickly. Since more than one choice works, the answer must be D. |
| A. -x+6y B. -x-6y C. x+6y D. 13x-2y Removing the parentheses gives
(5x+6y)-(7x-2y)+(x-2y)
5x+6y-7x+2y+x-2y
-x+6y |
| A. 1 B. 2 C. 0.5 D. -1 5c - 4 - 2c + 1 = 8c + 2
3c -3 = 8c + 2
-3 = 5c + 2
-5 = 5c
-1 = c |
| A. 30 B. 63 C. 150 D. 250 Remember when you see word equations to get the numbers out of the words. We substitute and distribute.
x = .3x + 210
.7x = 210
x = 300 |
| A. 5 B. 7 C. 1 D. -5 Remember to isolate the variable.
x + 17 = 12.
Add -17 to both sides x + 17 - 17 = 12 - 17.
Combine like terms. x = -5 |
| A. 6a+6b B. a+6b C. -2b D. 6b Remember to distribute the negative sign across the parentheses. This distribution gives 4a+2b-2a+3b-a+b. Combining similar terms gives 1a+6b = a+6b. |
| A. 27/13 B. 27/5 C. 9 D. 27 These are simultaneous equations where substitution is the key.
We want to solve for "b" so we want everything in terms of "b."
8b - 5b = 27
3b = 27
b = 9
5b = (5)(9) = 45 |
| A. -5 B. -2.5 C. 2 D. 2.5 Collecting terms in Y on the left, 5 y2 - 10 Y = 0. Factoring, 5Y(Y-2) = 0. Therefore, y = 0 and y =2 |
| A. 1/3 ÷ 1/4
B. 1/4 ÷ 1/3
C. 1 - (1/3 + 1/4)
D. 1 + (1/3 + 1/4)
This part and whole problem opens up when you get the numbers out of the words.
1 day - (1/3 +1/4) |
| A. measurement of angle A is less than measurement of angle B. B. measurement of angle A + measurement of angle B = 30. C. measurement of angle A + measurement of angle B = 90. D. measurement angle A + measurement angle B = 180. It is given that the complement of angle A (90-angle A) is greater than the supplement of angle B (180 - angle B). Hence 90- angle A is greater than 180 - angle B. (Or angle B= angle A + 90). |
| A. $1400 B. $2800 C. $3600 D. $4200 First find out what the 28 percent reduction would be subtracting 28 percent from 100 percent. Then divide the balance by 4 to find the amount to be paid each of four years.
1.00 - .28 = .72
.72(20,00) = 14,400
14,400/4 = 3,600 |
| A. x(y + z) > 0 B. xy + z = w C. xy + xz = w D. x, y, z and w are all positive Choice 3 shows the distributive property at work. While the other choices may or may not be true, the distributive property is always true. |
| A. x=2 B. x=-2 C. y=5 D. y=-5 y-y1=m(x-x1) gives y-5=0(x-2)
y-5=0 and y=5 |
| A. 2.5 B. 3.5 C. 3.6 D. 4.5 0.7x + 2(x-3)=0.2x + 3
0.7x + 2x - 6 = 0.2x +3
2.7x - 6 = 0.2x + 3
2.5x - 6 = 3
2.5x = 9
x=3.6 |
| A. 36/48 B. 40/64 C. 0.625 D. 15/24 36/48 = 6/8 = 3/4 = 0.75, whereas 35/56 = 40/64 = 0.625 = 62.5% = 5/8. |
| A. 8400 B. 10920 C. 12200 D. 13250 Here we are looking for a 30 percent decrease and an increase of 30 percent from that new value. A 30 percent decrease means we want 70 percent of the value. A 30 percent increase represents 130 percent of the value. In terms of numbers:
.7(12,000) = 8,400
1.3(8,400) = 10,920 |
| A. 6 B. 7 C. 8 D. 9 Ophelia (drowned), Polonius (stabbed) Rosencrantz & Guildenstern (death warrants), Gertrude (poison), Laertes, Hamlet and Claudius (poison-tipped sword) |
| A. Forged their death warrants B. Had them arrested and imprisoned C. Sent a loyal servant to murder them D. Tearfully forgave them They were Hamlet's friends from Wittenberg University, who were employed by the king to spy on him. |
| A. They are linearly proportional. B. When the standard deviation is increased the variance is also increased. C. The group of larger number of samples always has higher standard deviation. D. It is possible to increase standard deviation but decrease the variance at the same time. The standard deviation is square root of the variance. Therefore, when the variance increases so does the standard deviation. |
| A. We cannot determine with this information. B. Both standard deviation and the variance will be increased. C. The standard deviation will be increased but the variance will be decreased. D. Both standard deviation and the variance will be decreased. When the distribution is less scattered the standard deviation and variance is decreased. |
| A. We cannot determine with this information. B. The arithmetic mean will be increased. C. The arithmetic mean will be decreased. D. The arithmetic mean will remain unchanged. If we add a sample of lower degree of astigmatism than its original mean then the mean will be decreased. |
| A. 2.5 B. 3 C. 2.1 D. 2.4 (0.5*2 + 1.0*3 + 2.0*6 + 3.0*4 + 4.0*5) / 20 = 2.4 |
| A. 0.5 B. 1 C. 2 D. 3 The person with the 10th highest (or lowest) concentration of astigmatism is in class of 2.0 diopters. |
| A. 10% B. 25% C. 55% D. 65% The number of people with 0.5 diopter, 1.0 diopter and 2.0 diopter is 11.
Thus (11/20) * 100% = 55%. |
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