Which two statements are correct when simplifying this expression?
12 + 6(3x − 2)
Responses
A First, calculate 6(3x − 2)First, calculate 6(3x − 2)
B First, calculate 12 + 6.First, calculate 12 + 6.
C 12 + 6(3x − 2) = 54x − 3612 + 6(3x − 2) = 54x − 36
D 12 + 6(3x − 2) = 18x12 + 6(3x − 2) = 18x
E 12 + 6(3x − 2) = 18x − 24
The correct statements when simplifying the expression 12 + 6(3x − 2) are:
A) First, calculate 6(3x − 2).
E) 12 + 6(3x − 2) = 18x − 24.
Which expression is equivalent to 1/4
x − 36?
Responses
A 14
(x + 144)1 4 (x + 144)
B 14
(x − 144)1 4 (x − 144)
C 14
(x − 9)1 4 (x − 9)
D 4x − 9
The expression that is equivalent to 1/4x − 36 is:
C) 14(x − 9)1/4 (x − 9).
Which expression in equivalent to 2 (4x - 9)?
3
Responses
A
8x - 18
3
8 x - 18 3
B
8x - 9
3
8 x - 9 3
C
8 (x + 18)
3
8 ( x + 18) 3
D
8 (x - 12)
3
8 ( x - 12) 3
The expression that is equivalent to 2(4x - 9) ÷ 3 is:
D) 8(x - 12) ÷ 3.
are you sure?
Apologies for the incorrect response. Let's solve the expression correctly:
2(4x - 9) ÷ 3
To simplify this expression, we distribute the 2 to both terms inside the parentheses:
8x - 18 ÷ 3
Now, we divide -18 by 3:
8x - 6
So, the correct expression that is equivalent to 2(4x - 9) ÷ 3 is:
B) 8x - 6.
Simplify 3 - (4x - 5) + 6.
Responses
A 12x + 2112x + 21
B 4x + 144x + 14
C 4x + 44x + 4
D -4x + 14-4x + 14
E -4x + 4-4x + 4
To simplify 3 - (4x - 5) + 6:
First, we distribute the negative sign to the terms inside the parentheses:
3 - 4x + 5 + 6
Next, we can combine like terms:
(3 + 5 + 6) - 4x
Simplifying the numbers:
14 - 4x
So the correct expression is:
E) -4x + 14
Read It!
There is a popular type of doll in Japan called daruma. These round, hollow dolls have a purpose. The dolls are usually purchased as part of a New Year's resolution. First, the buyer writes what he or she hopes to achieve on the daruma's back. At that point, the eyes have not been painted. After writing on the doll, one eye is painted on. The buyer puts the doll where it can be seen often. It is a reminder of the resolution. When the resolution has been achieved, the other eye is painted. This practice encourages people to make positive changes in their lives.
Do It!
The dolls represent people's _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A friendships
B ancestors
C emotions
D goals
D goals
Read It!
Paper can be made from many plants, but usually trees are used. First, the wood is mashed into a pulp. Then, the pulp is whitened with chemicals and mixed with water. Next, the mixture is sprayed onto a screen to make a mat. After the mat of paper is dried and pressed, the paper is ready. In the factory, paper rolls can be forty miles long. They are cut before being packaged and sent to stores.
Do It!
Making paper requires a long _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A pattern
B fiber
C application
D process
D process
Read It!
Otavio Good created a useful phone app. It assists those who are not familiar with a country's language. The user simply opens the app and takes a photo of text in one language. The app then shows the meaning of the text in the user's own language. This invention is ideal for travelers.
Do It!
The invention _________ text.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A extends
B erases
C translates
D criticizes
C translates
Read It!
Isle Royale National Park in Michigan has a problem. In 2009, twenty-four gray wolves lived on the island. In 2014, only nine remained. Scientists have noted that many of the wolves have birth defects that may be impeding their ability to reproduce. Some scientists have suggested importing gray wolves from other areas to the island to help rebuild the population. Others disagree. Because wolves hunt moose, they think more wolves will mean fewer moose.
Do It!
The wolf population is _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A separating
B migrating
C cooperating
D decreasing
D decreasing
Read It!
Yun Suknam is an artist from Korea. Unlike many artists, Yun did not begin creating her art until she was forty years old. She debuted her most famous work, Mother III, in 1993. Yun created Mother III using old wood and paint. There are ridges and scratches on the wood that give its surface an unmistakable roughness. The weathered grain of the wood gives the appearance of wrinkles on the face of the subject. Yun prefers to use sturdy and aged materials to create her art. Mother III was displayed at the National Portrait Gallery in the United States.
Do It!
Yun's style is _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A formal
B rugged
C oversized
D costly
B rugged
Read It!
Worried that the RMS Titanic is rusting away at the bottom of the ocean, Robert Ballard wants to repaint it. Ballard, who first discovered the wrecked ship in 1985, doesn't want to restore the ship completely. Instead, he wants to put a protective layer of special paint on the ship. Currently, large patches of rust are growing on it. If left untreated, the Titanic could fall apart. Ballard believes painting the ship could delay its destruction for decades. The process would involve special robots currently used to paint supertankers. But the job would be expensive, and officials have yet to determine who would actually pay for it.
Do It!
Ballard wants to _________ the ship.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A employ
B submerge
C promote
D preserve
D preserve
Read It!
A dance group based in Wales holds an annual seven- to ten-day public event. The group has staged the event in the United Kingdom, Ireland, and Italy. Each event begins with what seems to be an unplanned incident. A pair of workers wearing bright safety vests may start dancing together on the sidewalk. Many of the people passing by are unaware they are viewing a professional performance. Over the following days, more skilled dancers in ordinary clothing join the group. On the final day of the event, nearly one hundred dancers perform an exciting routine.
Do It!
At first, the dancing appears to be _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A frenzied
B combative
C random
D ceremonial
C random
Read It!
In some parts of India, electricity is largely unavailable. The people living in these areas often use hazardous kerosene lamps in their homes. Kerosene lamps are highly flammable and can be toxic. Ajaita Shah decided to sell safe solar-powered lamps in these rural areas. Since rural India has few roads and even fewer gas stations, she had to find a way to get customers their lamps. She also had to make sure that service centers were in locations convenient to her customers. To this end, Shah has opened hundreds of retail stores across India. In addition, she has employed local women to both sell lamps and educate customers about them.
Do It!
Shah wanted her product to be _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A accessible
B adjustable
C recyclable
D collectible
A accessible
Read It!
Although labeled a Surrealist artist until her death in 2012, Dorothea Tanning had turned away from the movement a half-century earlier. Classic Surrealist works combined precisely painted imagery with imaginary situations. Her paintings in the 1940s depicted women in dreamlike scenes such as houses made entirely of doors. Gigantic flowers and fantastic animals also appeared. But within a decade Tanning produced canvases with no visible figures. Instead her works looked like explosions or chunky clouds within which figures might be hidden. Angles and edges in the clouds merely suggested shapes.
Do It!
Tanning's later work was _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A abstract
B brassy
C urban
D mobile
A abstract
Read It!
Commedia dell'arte, performed in sixteenth-century Italy, was the first professional form of theater. Troupes of travelling actors played a collection of "stock" characters, always with the same names, traits, and costumes. Like modern sitcoms, the characters were the same, but the plot varied. Plays were acrobatic and physical (the word slapstick comes from a common prop used in Commedia), always lighthearted, and never followed a script. Instead, the actors adapted their theatrics to recent events or local personas, which added to the humor. The very best troupes were invited to perform for the aristocracy and were paid handsomely.
Do It!
Commedia dell'arte was _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A reverent
B profound
C improvised
D vulgar
C improvised
Read It!
Archaeologists discovered several rooms carved into rock in the oldest section of Jerusalem. In one of the rooms, there were three V-shaped markings carved into the floor. They are about 2 inches (5 centimeters) deep and 20 inches (50 centimeters) long. However, there is nothing that indicates who made the markings or what they are for. Archaeologists have been unable to identify them. So they posted images on Facebook. They asked people what the photos might show. One person suggested that the shapes might have held up pieces of wood. Another thought that they were places to pour melted metal. Some guessed that the markings were ancient Hebrew or Egyptian characters.
Do It!
The markings are _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A blended
B mysterious
C colorful
D muddy
B mysterious
Read It!
A ship called Odyssey is on a mission. It is studying whales in oceans around the world. The scientists on the ship want to see whether the chemicals we use have hurt the whales. The ship has been traveling around the world for nearly four years. Its crew is studying sperm whales. Sperm whales live in many bodies of water. Looking at sperm whales lets scientists check on all of the oceans.
Do It!
The whales are being _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A disturbed
B praised
C supported
D examined
D examined
Read It!
German scientists have developed a new car. Drivers can steer it using only their eyes. The car can be driven in two modes: free drive or route selection. In free drive, the driver wears a helmet fitted with a camera. The camera tracks the driver's eyes. The car then steers in the direction the driver is looking. The car can travel up to 31 miles (50 kilometers) per hour in free drive. In route selection, the car drives on its own. It uses cameras and other tools mounted on the outside of the car to follow roads and steer the car.
Do It!
The car is _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A colorful
B enormous
C popular
D remarkable
D remarkable
Read It!
Fleming is one of the world's most popular opera stars. In 2010, she accepted a job at the Lyric Opera of Chicago. Part of her job is to share this form of music with wider audiences. She was full of ideas, but what she was especially excited about was coaching teens at a music school in Chicago. Students in the program take backstage tours of an opera house. They have the chance to observe singers in rehearsal. Fleming says that these opportunities are valuable for developing singers. She hopes to find and encourage promising young singers. The program is becoming well known and serves as an example to other communities.
Do It!
Fleming _________ students.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A assigns
B inspires
C employs
D revives
B inspires
Read It!
In the 1600s, the king of India, Shah Jahan, had everything he wanted. India's gemstone mining made the country very wealthy. Shah Jahan was deeply in love with his wife and queen, Mumtaz Mahal. Shah Jahan ruled a peaceful kingdom, but when his wife died, Shah Jahan grieved deeply. The only solace he found was in building her the most beautiful mausoleum he could imagine. The Taj Mahal is still regarded as one of the most beautiful structures in the world and is a national landmark in India.
Do It!
It was built to _________ the queen.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A memorialize
B impress
C betray
D imprison
A memorialize
Read It!
Army pilot Gail Halvorsen remembered how German children would beg U.S. soldiers for candy during World War II. After the war, Halvorsen wanted to give more to the children. He was determined to spread joy in the form of candy. However, Germany had lost the war and was under the control of several other nations. Strain among those nations had led the Soviet Union to block all roads into the German capital of Berlin. Halvorsen resolved to get candy through in the same way U.S. soldiers were getting other supplies into the city—by dropping the goods from the sky.
Do It!
Halvorsen was _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A frenzied
B incoherent
C carefree
D generous
D generous
Some foods, like potato chips and pretzels, are obviously salty. But many packaged foods may also contain hidden salt. Food companies often add sodium to help improve taste. Things such as canned tuna, hot dogs, cheese, and even some breads and pasta have a considerable amount of salt in them. In fact, most of the salt we eat does not come from a salt shaker; it comes from our food. Too much salt, like too much of anything, can result in substantial health risks. To improve Americans' health, the U.S. government wants its citizens to reduce the amount of salt they eat by more than half.
Do It!
Consumers may be _________ of the sodium.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A distributors
B assured
C creators
D unaware
D unaware
Read It!
The Tuskegee Airmen were a group of African-American fighter pilots. They served with distinction in World War II despite bigotry and racism at home. In March 2007, Congress awarded the airmen one of the nation's highest honors. President Bush joined congressional leaders in presenting the veterans with the Congressional Gold Medal. The medal is the highest civilian award that Congress can bestow. It is given to any individual who performs an outstanding act of service for the security and welfare of the United States. "We are so overjoyed," said retired captain Roscoe Brown Jr. He and five other airmen accepted the medal for the group.
Do It!
The men were given _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A commissions
B consultations
C recognition
D apprenticeships
C recognition
Read It!
Dorothy Height was a pioneering voice of the civil rights movement. Her activism spanned from the 1930s to 2010. Height was born in 1912 in Richmond, Virginia, but was raised mostly in Pennsylvania. At that time, African Americans had few rights, and women were not allowed to vote until 1920. Few African-American women went to college, but Height was an outstanding student and was determined to further her education. She was accepted to Barnard College in New York but was turned away because the school already had reached its limit of two black women. She moved on and earned two degrees from New York University instead.
Do It!
Height was _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A hostile
B ambitious
C considerate
D imaginative