Your FREE TABE (Test of Adult Basic Education) Practice Test 2026 – 290+ Q&A

Correct answer: Community gardens help neighbors connect while growing food

Community gardens help neighbors connect while growing food best captures the main idea because it ties together the gardening activities and the social point. The other choices are narrow details that do not state the central message.

Correct answer: Supporting detail that backs the main idea

The point about less pollution serves as a supporting detail that backs the main idea. It provides specific evidence for the broader claim about transit's benefits rather than being a title, a contradiction, or a spelling matter.

Correct answer: Ask which sentence the others explain or prove

Asking which sentence the others explain or prove works best because the main idea is the claim that details support. Word length, sentence position, and the presence of a number do not reliably mark the main idea.

Correct answer: Supporting details for the main idea

These three points are supporting details for the main idea. Making friends, learning skills, and feeling proud each illustrate the rewards named in the topic sentence rather than standing as separate main ideas or unrelated content.

Correct answer: The museum offers free admission on the first Friday of each month

The museum offers free admission on the first Friday of each month is most likely a supporting detail because it gives one specific fact. The other choices are broad statements that work as main ideas.

Correct answer: The worker takes the job seriously

The reader can most reasonably infer that the worker takes the job seriously. Arriving early, checking machines, and logging readings carefully are clues to diligence, not dislike of mornings, quitting, or ownership.

Correct answer: The letter contained good news

The reader can infer that the letter contained good news. Reading it twice and smiling are clues to a pleasant message, which rules out being unable to read, a blank page, or throwing it away.

Correct answer: Baking

The reader can infer that someone is baking. The smell of cinnamon, flour on the counter, and a ticking timer are clues that point to baking rather than painting, washing a car, or reading.

Correct answer: An inference is figured out from clues rather than written word for word

An inference is figured out from clues rather than written word for word. That is what separates it from a stated detail, and it is not tied to the first sentence, limited to numbers, or made without the passage.

Correct answer: Waiting for someone he wants to thank

The reader can best infer he is waiting for someone he wants to thank. The card, the glances at the clock, and watching the door together signal anticipation, not sneaking out, anger, or sleepiness.

Correct answer: The power went out

The best-supported conclusion is that the power went out. Flickering lights, a silent refrigerator, and a dark clock are clues that together point to a power loss rather than a guest, repainting, or dinner.

Correct answer: A medical professional

The reader can conclude this person is a medical professional. Scrubs, listening to a chest, taking a pulse, and charting are clues that point to health care, not driving, library work, or painting.

Correct answer: Likely improved worker safety

The reader can conclude that the training likely improved worker safety. The steady drop in injuries after training is a clue supporting that result, which contradicts no connection, more injuries, or cancellation.

Correct answer: Clues from the text are combined with logical reasoning

A sound conclusion is reached when clues from the text are combined with logical reasoning. Guessing without the text, copying the title, or counting paragraphs do not produce a supported conclusion.

Correct answer: Very busy

The reader can conclude that the campground is very busy. A packed site, lit fire rings, and many tents are clues that point to high use rather than being closed, empty, or under construction.

Correct answer: Careful management helped the business grow steadily

The best summary is that careful management helped the business grow steadily. It captures the central idea covering all the actions, while the other choices restate single details without the overall point.

Correct answer: How the ideas progress through the text

The reader is showing how the ideas progress through the text. A good summary follows the development of ideas, which is unrelated to font, comma count, or cover color.

Correct answer: A storm cut power, but crews restored it by morning

The best summary is that a storm cut power, but crews restored it by morning. It states the key events and outcome concisely, unlike the general or unrelated statements in the other choices.

Correct answer: Briefly state the central point and main supporting ideas

A strong summary would briefly state the central point and main supporting ideas. Repeating the article in full, mentioning only one minor cost, or adding personal habits would make the summary inaccurate or unfocused.

Correct answer: Several preventive steps help people avoid disease

The best one-sentence summary is that several preventive steps help people avoid disease. It captures the central idea across all three measures, while the other choices are isolated details.

Correct answer: Inform and instruct the reader

The author's main purpose is to inform and instruct the reader. A clear step-by-step guide that defines terms teaches readers how to complete a task rather than frightening, entertaining, or selling.

Correct answer: Persuade readers to take action

The author's main purpose is to persuade readers to take action. Urging readers to contact council members about repaving is an attempt to convince, not to give a history lesson, describe a park, or list prices.

Correct answer: Describe a scene for the reader

The author's main purpose is to describe a scene for the reader. Rich sensory details that help readers picture a snowy mountain are description, not argument, instructions, or a financial report.

Correct answer: A funny plot with surprising twists

A funny plot with surprising twists most strongly suggests a purpose to entertain. Numbered rules suggest instructing, a rainfall chart suggests informing, and legal definitions suggest a reference purpose.

Correct answer: Inform readers about a health topic

The author's purpose is mainly to inform readers about a health topic. Factual explanations of symptoms and prevention deliver useful knowledge rather than humor, a sales pitch, or a love story.

Correct answer: Persuade

These word choices signal the author's purpose is to persuade. Strong opinion words urging a choice push readers toward a decision, unlike entertaining, presenting neutral data, or telling a tale.

Correct answer: Point of view

The phrase 'I believe' shows the writing reflects the author's point of view. It reveals the writer's personal stance, which has nothing to do with page number, spelling, or word count.

Correct answer: First person

This story is written from the first-person point of view. The use of 'I' and 'my' to share one character's thoughts is the hallmark of first person, not third person, no point of view, or second person.

Correct answer: Point of view

The difference reflects each author's point of view. Calling the highway 'progress' versus 'a waste of money' shows opposing stances, which is point of view rather than handwriting, reading speed, or fonts.

Correct answer: Third person

This narration uses the third-person point of view. Describing characters with 'he,' 'she,' and 'they' and avoiding 'I' marks third person, not first person, second person, or naming the author.

Correct answer: Point of view

A reader analyzing these phrases is examining the author's point of view. Phrases like 'in my opinion' reveal the writer's personal stance, unlike math accuracy, layout, or letter spacing.

Correct answer: Cause and effect

The organizational pattern is cause and effect. Stating heavy snowfall and then the road closures it produced links a cause to its effect rather than comparing, alphabetizing, or defining.

Correct answer: Compare and contrast

The text structure used is compare and contrast. Weighing the benefits and drawbacks of two kinds of classes highlights similarities and differences, unlike chronology, problem-solution, or spatial order.

Correct answer: Problem and solution

This pattern is problem and solution. Naming rising crime as the problem and then describing fixes follows that structure, unlike comparison, a list of dates, or alphabetical order.

Correct answer: Chronology

The text structure is chronology. Presenting a life from birth to retirement in time order is the defining feature, unlike comparison, problem-solution, or cause-effect.

Correct answer: Similarly, however, on the other hand

Words like 'similarly,' 'however,' and 'on the other hand' most often point to compare and contrast. The other sets signal sequence, cause and effect, and problem-solution instead.

Correct answer: Chronology

Chronology organizes this passage. Listing the cause, rising water, evacuation, and cleanup in the order they occurred follows time order, unlike comparison, definition, or spatial description.

Correct answer: Cause and effect

The word 'because' signals cause and effect. It links the lost contract (cause) to the furloughs (effect) rather than ordering events by time, comparing, or proposing solutions.

Correct answer: Allowing different choices

Based on context, 'flexible' most likely means allowing different choices. The list of three options shows the policy offered freedom of choice, ruling out strict, physically rigid, or costly.

Correct answer: Genuine and honest

In context, 'sincere' most nearly means genuine and honest. The contrast with 'empty flattery' shows the praise was real, which rules out fake, loud, or brief.

Correct answer: Drained of energy

In context, 'depleted' most likely means drained of energy. The clue that she could barely lift her arms after a marathon points to exhaustion, not strength, curiosity, or clothing.

Correct answer: Open and honest

In context, 'candid' means open and honest. Telling the staff exactly what went wrong without hiding anything signals directness, ruling out being secretive, forgetful, or cheerful.

Correct answer: Open to more than one meaning

In context, 'ambiguous' most nearly means open to more than one meaning. The clue that the class split into two interpretations shows the instructions were unclear, not clear, short, or colorful.

Correct answer: Showing great energy without stopping

In context, 'tireless' most likely means showing great energy without stopping. Working from dawn until midnight without complaint is the clue, ruling out being worn out, absent, or wealthy.

Correct answer: Careful with money

In context, 'frugal' means careful with money. Saving part of every paycheck and rarely buying new things are clues to thrift, not wastefulness, forgetfulness, or overgenerosity.

Correct answer: Sharp and lifelike

In context, 'vivid' most likely means sharp and lifelike. Describing colors, sounds, and smells in clear detail is the clue, which rules out dull, vague, or rude.

Correct answer: Helpful or producing good results

In context, 'beneficial' means helpful or producing good results. The clue that the policy helped both sides points to a positive effect, not harm, confusion, or being temporary.

Correct answer: Not wide

In context, 'narrow' most nearly means not wide. The clue that two people could not pass without turning sideways shows limited width, ruling out tallness, lighting, or newness.

Correct answer: Integrating information across two sources

This task is an example of integrating information across two sources. Comparing two accounts of the same event to find agreement combines ideas from multiple texts, not spelling, math, or word counting.

Correct answer: Integrating knowledge and ideas across sources

Pulling both together to form one understanding is integrating knowledge and ideas across sources. Combining a chart and a paragraph about the same trend draws on more than one source, unlike finding a topic sentence, checking sentences, or memorizing.

Correct answer: Integration of ideas across sources

The reader is practicing integration of ideas across sources. Comparing how two passages' claims differ on the same topic combines information from multiple texts, not arithmetic, capitalization, or reading speed.

Correct answer: Combining information from different sources

The reader is mainly combining information from different sources. Using a diagram alongside the explaining text integrates ideas from more than one source, unlike choosing a sentence by length, counting lines, or picking a random title.

Correct answer: Integrate information across sources

This question tests the ability to integrate information across sources. Finding facts shared by a letter and a news report about the same event draws on two texts, not spelling, math, or grammar.

Correct answer: The bakery is a busy, central part of the neighborhood

The main idea is best stated as the bakery being a busy, central part of the neighborhood. It ties together the daily activities and the closing point, while the other choices are isolated details.

Correct answer: Details supporting the main idea

The two explanations function as details supporting the main idea. Pointing out paid and fake reviews backs up the claim that reviews can mislead, rather than serving as a title, unrelated topics, or spelling rules.

Correct answer: Go fishing

The reader can infer he plans to go fishing. Boots, a fishing rod, a cooler, and a boat are clues that point to a fishing trip, not a concert, a museum, or a nap.

Correct answer: He is still upset

The reader can infer that Dev is still upset. Crossed arms and refusing to look up after an apology are clues to lingering frustration, ruling out forgiveness, joy, or not hearing the apology.

Correct answer: Closed its run

The reader can conclude that the theater has closed its run. Empty seats, a dimmed marquee, and a 'final show' sign are clues pointing to the end of the shows, not an opening, sellouts, or expansion.

Correct answer: The oven was never turned on

The reader can conclude that the oven was never turned on. Unrisen bread, an off oven light, and cold dough are clues that point to the oven being unused, not perfect baking, excess heat, or too much yeast.

Correct answer: Smartphones do many tasks and have become daily essentials

The best summary is that smartphones do many tasks and have become daily essentials. It captures the central idea across all the features, while the other choices restate single details.

Correct answer: Steady preparation helped the runner win the race

The best summary is that steady preparation helped the runner win the race. It captures the central idea covering the preparation and the result, unlike the narrow or unrelated statements in the other choices.

Correct answer: Persuade readers to donate

The author's purpose is mainly to persuade readers to donate. Asking readers to give coats and telling them where to drop them off is meant to move readers to act, not to scare, describe, or review.

Correct answer: Instruct the reader

The author's purpose is mainly to instruct the reader. Numbered setup steps with diagrams teach a task, which is instruction rather than persuasion, entertainment, or personal expression.

Correct answer: The author's own first-person perspective

The memoir tells the story from the author's own first-person perspective. Phrases like 'I remember' and 'my childhood home' show the writer sharing personal experience, not third person, the reader's view, or no perspective.

Correct answer: Point of view

Recognizing that the article reflects the writer's stance means identifying the author's point of view. Repeated statements of what the city 'should' do reveal the writer's opinion, not penmanship, vocabulary size, or page count.

Correct answer: Problem and solution

This structure is best labeled problem and solution. Naming long lines as the problem and offering online check-in as a remedy follows that pattern, unlike comparison, chronology, or spatial order.

Correct answer: Spatial order

The text structure is spatial order. Moving from the entryway to the living room to the back kitchen organizes information by physical location, unlike cause-effect, comparison, or problem-solution.

Correct answer: Unfriendly and angry

In context, 'hostile' most likely means unfriendly and angry. Booing and throwing trash are clues to anger, ruling out being welcoming, curious, or sleepy.

Correct answer: Able to be done

In context, 'feasible' means able to be done. The clue that the team could actually finish with the money and time shows the plan was workable, not impossible, costly, or completed.

Correct answer: Deep and meaningful

In context, 'profound' most nearly means deep and meaningful. The clue that the audience kept thinking for days shows the remarks carried weight, ruling out shallow, funny, or boring.

Correct answer: Integrating information from two sources

The reader is practicing the skill of integrating information from two sources. Listing facts that appear in both a report and a news story about the same event combines two texts, not finding one main idea, fixing a fragment, or memorizing.

Correct answer: A library card unlocks many free learning resources

A library card unlocks many free learning resources best states the main idea because it ties together the benefits and the closing phrase. The other choices are single details that miss the central point.

Correct answer: The gardener added compost

The detail that explains why the garden thrived is that the gardener added compost. This is the stated reason for the growth, while the garden's size, the fence color, and a general remark do not answer 'why.'

Correct answer: Expecting a guest for dinner

The reader can infer she is expecting a guest for dinner. Two plates, lit candles, and frequent glances at the door are clues to anticipation of company, not cleaning, leaving, or repairing.

Correct answer: The puppy is frightened by thunder

The reader can infer that the puppy is frightened by thunder. Hiding and trembling at the sound of thunder are clues to fear, ruling out hunger, wanting to play, or enjoying storms.

Correct answer: The dog has been misbehaving

The reader can conclude that the dog has been misbehaving. Muddy prints, a chewed shoe, and the dog hiding are clues that point to mischief, not a week outside, no owner, or an unworn shoe.

Correct answer: Very popular

The reader can conclude that the event is very popular. A full lot, a long line, and sold-out tickets are clues to high demand, not the event being over, free, or poorly attended.

Correct answer: Good teamwork led to the project's success

The best summary is that good teamwork led to the project's success. It captures the central idea linking the team's actions to the result, unlike the broad or unrelated statements in the other choices.

Correct answer: Instruct the reader on a task

The author's purpose is mainly to instruct the reader on a task. Simple steps for resetting a password teach how to do something, which is instruction rather than argument, humor, or personal sharing.

Correct answer: Persuade readers to vote a certain way

The author's purpose is mainly to persuade readers to vote a certain way. Reasons to support a candidate ending with a call to vote aim to convince, not to teach science, describe weather, or tell a tale.

Correct answer: The writer's personal point of view

A first-person diary entry presents events through the writer's personal point of view. Phrases like 'I felt' and 'my hopes' reveal the writer's own perspective, not an outsider's, the reader's, or none.

Correct answer: Point of view

These differing judgments show each reviewer's point of view. Opposite descriptions of the same movie reflect their personal stances, which is point of view rather than reading speed, handwriting, or margins.

Correct answer: Cause and effect

This chain of links shows cause and effect. Fewer bees causing fewer pollinated crops causing smaller harvests connects causes to results, unlike comparison, a holiday list, or alphabetical order.

Correct answer: Chronology

The text structure is chronology. Walking through a town's growth decade by decade arranges information in time order, unlike problem-solution, comparison, or spatial order.

Correct answer: Legally holding both sides to the agreement

In context, 'binding' most nearly means legally holding both sides to the agreement. The clue that neither side could back out shows the contract was enforceable, not easy to ignore, written in pencil, or short.

Correct answer: Careful to avoid danger

In context, 'cautious' means careful to avoid danger. Testing each step before trusting it near a cliff is the clue, ruling out being reckless, cheerful, or confused.

Correct answer: Extremely hot

In context, 'scalding' most likely means extremely hot. Waiting for the soup to cool before eating is the clue, which rules out cold, salty, or sweet.

Correct answer: Integrating ideas across sources

The reader is using the skill of integrating ideas across sources. Combining an infographic and an article about the same survey draws on more than one text, unlike choosing a topic sentence, fixing capitalization, or finding a prefix.

Correct answer: Regular exercise is one of the most valuable habits a person can build

Regular exercise is one of the most valuable habits a person can build best states the main idea because it ties the benefits to the closing statement. The other choices are details that do not capture the central point.

Correct answer: The store extended its hours

The detail that supports the claim is that the store extended its hours. It gives the specific reason tied to the rise in sales, while wall color, a general remark, and the owner's likes do not support that point.

Correct answer: Preparing for a test

The reader can infer the student is preparing for a test. A calculator, sharpened pencils, and reviewing notes are clues that point to test preparation, not a vacation, cleaning, or sleeping.

Correct answer: She was glad to receive the call

The reader can infer that she was glad to receive the call. A face lighting up before answering is a clue to happiness, ruling out not hearing it, annoyance, or having no phone.

Correct answer: Without enough water

The reader can conclude that the plant has been without enough water. Wilting leaves, dry cracked soil, and an empty watering can are clues that point to a lack of water, not overwatering, darkness, or fertilizing.

Correct answer: Major disruptions

The reader can conclude that the airport is experiencing major disruptions. Delays, a red board, and travelers sleeping on the floor are clues to serious problems, not a normal day, an opening, or low traffic.

Correct answer: Sleep is essential because it benefits the body and mind in several ways

The best summary is that sleep is essential because it benefits the body and mind in several ways. It captures the central idea across all the benefits, unlike the narrow or unrelated statements in the other choices.

Correct answer: Entertain readers with a touching story

The author's purpose is mainly to entertain readers with a touching story. A heartwarming, funny tale is meant to engage and move readers, not to sell, explain a process, or argue for a law.

Correct answer: Inform residents of the new rules

The author's purpose is mainly to inform residents of the new rules. Factual explanation of the new pickup days delivers needed information, not persuasion, entertainment, or description.

Correct answer: The author's first-person perspective

The essay tells readers about the forest through the author's first-person perspective. The phrase 'I have always loved these woods' reveals the writer's personal view, not third person, the reader's memories, or no perspective.

Correct answer: Spatial order

The text structure is spatial order. Describing the harbor, the shops, and the homes by their physical positions organizes information by location, unlike cause-effect, problem-solution, or comparison.

Correct answer: Compare and contrast

The text structure is compare and contrast. Listing how a bus and a train differ in speed, cost, and routes weighs differences between two things, unlike cause-effect, chronology, or problem-solution.

Correct answer: Complete and detailed

In context, 'thorough' most likely means complete and detailed. Covering every step in careful detail is the clue, ruling out missing parts, brevity, or being hard to read.

Correct answer: Held in fascinated attention

In context, 'captivated' means held in fascinated attention. Hanging on every word is the clue to strong interest, which rules out boredom, sleep, or wanting to leave.

Correct answer: Strict and not flexible

In context, 'rigid' most nearly means strict and not flexible. The clue that no extensions were granted shows the deadline could not bend, ruling out being changeable, distant, or optional.

Correct answer: Combine information from both sources

Answering requires the reader to combine information from both sources. Using a text and a timeline about the same war to find what happened first draws on two sources, not spelling, math, or grammar labeling.

Correct answer: Clean water is important for health, farming, and wildlife alike

Clean water is important for health, farming, and wildlife alike best states the main idea because it ties together the listed benefits and the closing point. The other choices are details that miss the central message.

Correct answer: Shy or uneasy

The reader can infer the child is feeling shy or uneasy. Clinging to a parent, peeking at strangers, and refusing to speak are clues to shyness, not boredom, boldness, or hunger.

Correct answer: Highly successful

The reader can conclude the team is highly successful. A full trophy case, banners, and praise for its record are clues to success, not being new, disbanding, or rarely competing.

Correct answer: Instruct readers how to do a task

The author's purpose is mainly to instruct readers how to do a task. Clear, ordered steps for changing a tire teach a skill, which is instruction rather than persuasion, entertainment, or mourning.

Correct answer: The charity run succeeded by funding several needs for families

The best summary is that the charity run succeeded by funding several needs for families. It captures the central idea covering the uses of the donations and the result, unlike the narrow choices.

Correct answer: 11

The value is 11. Division comes before addition, so $6 \div 3$ = 2 is done first, then 9 + 2 = 11. Adding 9 and 6 before dividing would give the wrong result.

Correct answer: 19

The value is 19. Work the parentheses first to get 8 - 2 = 6, then multiply $3 \times 6$ = 18, and add 1 to get 19. Grouping must be handled before multiplication.

Correct answer: Added before subtracting from left to right

The student added before subtracting instead of working left to right. Addition and subtraction are done in order from left to right, so 10 - 4 = 6 first, then 6 + 2 = 8. Doing 4 + 2 = 6 first and subtracting from 10 wrongly gives 4.

Correct answer: 12

The value is 12. Parentheses come first to get 2 + 1 = 3, then division and multiplication run left to right: $18 \div 3$ = 6, then $6 \times 2$ = 12. Multiplying before dividing here would give a different answer.

Correct answer: $12 \div 4$ + 4

The expression $12 \div 4$ + 4 equals 7 because $12 \div 4$ = 3 is done first, then 3 + 4 = 7. The other choices evaluate to 12, 9, and 8 once order of operations is applied.

Correct answer: $\frac{3}{5}$

The sum is $\frac{3}{5}$. With the same denominator, add the numerators and keep the denominator, so 2 + 1 = 3 over 5. Adding the denominators too would incorrectly give $\frac{3}{10}$.

Correct answer: $\frac{1}{2}$

The difference is $\frac{1}{2}$. Rewrite $\frac{1}{3}$ as $\frac{2}{6}$ so the denominators match, then $\frac{5}{6} - \frac{2}{6} = \frac{3}{6}$, which reduces to $\frac{1}{2}$. A common denominator is required before subtracting.

Correct answer: $\frac{7}{8}$ gallon

The total is $\frac{7}{8}$ gallon. Using denominator 8, $\frac{1}{2}$ becomes $\frac{4}{8}$, so $\frac{3}{8} + \frac{4}{8} = \frac{7}{8}$. The fractions must share a denominator before the numerators are added.

Correct answer: $1 \frac{3}{4}$

The sum is $1 \frac{3}{4}$. Keep the whole number 1 and add the fractions $\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$, giving $1 \frac{3}{4}$. Mixed numbers add their fraction parts when the whole part stays separate.

Correct answer: $\frac{6}{10}$ liter

The amount remaining is $\frac{6}{10}$ liter. With equal denominators, subtract the numerators: 9 - 3 = 6 over 10. The result $\frac{6}{10}$ can also be written as $\frac{3}{5}$.

Correct answer: $\frac{3}{8}$

The product is $\frac{3}{8}$. Multiply the numerators $3 \times 1$ = 3 and the denominators $4 \times 2$ = 8. No common denominator is needed when multiplying fractions.

Correct answer: $\frac{1}{2}$

The product is $\frac{1}{2}$. Multiply across to get $\frac{15}{30}$, which simplifies to $\frac{1}{2}$. Reducing the result gives the simplest form.

Correct answer: $\frac{1}{2}$ cup

The amount needed is $\frac{1}{2}$ cup. The word 'of' means multiply, so $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}$, which reduces to $\frac{1}{2}$. Multiplying numerators and denominators straight across gives the result.

Correct answer: $\frac{10}{3}$

The product is $\frac{10}{3}$. Write 5 as $\frac{5}{1}$, then multiply numerators $5 \times 2$ = 10 and denominators $1 \times 3$ = 3, giving $\frac{10}{3}$, or $3 \frac{1}{3}$. The whole number multiplies only the numerator.

Correct answer: 2

The quotient is 2. Dividing by $\frac{1}{4}$ means multiplying by its reciprocal $\frac{4}{1}$, so $\frac{1}{2} \times 4 = \frac{4}{2}$ = 2. This counts how many quarters fit in one half.

Correct answer: 6

The quotient is 6. Multiply $\frac{3}{5}$ by the reciprocal of $\frac{1}{10}$, which is $\frac{10}{1}$, giving $\frac{30}{5}$ = 6. The reciprocal must be used before multiplying.

Correct answer: 4

There are 4 servings. Divide $\frac{4}{5} \div \frac{1}{5}$ by multiplying $\frac{4}{5} \times \frac{5}{1} = \frac{20}{5}$ = 4. This counts how many fifths are in four fifths.

Correct answer: $\frac{1}{8}$

The quotient is $\frac{1}{8}$. Dividing by 6 is the same as multiplying by $\frac{1}{6}$, so $\frac{3}{4} \times \frac{1}{6} = \frac{3}{24}$, which reduces to $\frac{1}{8}$. Whole-number divisors become reciprocal fractions.

Correct answer: 0.25

The fraction $\frac{1}{4}$ equals 0.25. Dividing 1 by 4 gives 0.25. Reading the digits as 0.14 does not represent the division.

Correct answer: 0.125

The fraction $\frac{1}{8}$ equals 0.125. Dividing 1 by 8 produces 0.125. The value 0.8 would be $\frac{4}{5}$, not $\frac{1}{8}$.

Correct answer: 0.8

The fraction $\frac{4}{5}$ equals 0.8. Dividing 4 by 5 gives 0.8, or 8 tenths. Pairing the digits as 0.45 is not the result of the division.

Correct answer: $\frac{3}{4}$

The decimal 0.75 equals $\frac{3}{4}$. Since 0.75 means 75 hundredths, $\frac{75}{100}$ reduces to $\frac{3}{4}$. The fraction $\frac{1}{7}$ is about 0.14.

Correct answer: 32

Fifty percent of 64 is 32. Fifty percent is one-half, so $64 \div 2$ = 32. Taking half of the number gives the result.

Correct answer: $90

The sale price is $90. The discount is 25% of $120, which is $30, and subtracting it gives $120 - $30 = $90. The discount must be removed from the original price.

Correct answer: 80%

The team won 80%. Divide 12 by 15 to get 0.8, then multiply by 100 to express it as a percent. The decimal must be converted to a percent.

Correct answer: 20

Eight percent of 250 is 20. Convert 8% to 0.08 and multiply by 250 to get 20. Percent means per hundred, so the percent becomes a decimal first.

Correct answer: $10.80

The tip is $10.80. Multiply 0.18 by $60 to get $10.80. The question asks only for the tip, not the total bill.

Correct answer: 25%

The percent increase is 25%. The increase is 50 people, and 50 divided by the original 200 equals 0.25, or 25%. Percent change is measured against the starting amount.

Correct answer: 90

The number is 90. Since 40% equals 0.4, divide 36 by 0.4 to find the whole, giving 90. Working backward from a percent divides to recover the original.

Correct answer: $3:4$

The simplest ratio is $3:4$. Dividing both 6 and 8 by their greatest common factor of 2 gives 3 and 4. Oranges are listed first because the question asks oranges to apples.

Correct answer: 40

Five cups make 40 muffins. Each cup makes $16 \div 2$ = 8 muffins, so $5 \times 8$ = 40. Setting up a proportion of cups to muffins gives the same answer.

Correct answer: 56

The value is 56. The constant ratio is $35 \div 5$ = 7, so $8 \times 7$ = 56. Every input is multiplied by the same constant in a proportional relationship.

Correct answer: 3 cups

Three cups of sugar are needed. The flour is 3 times the sugar, so sugar is $9 \div 3$ = 3 cups. Keeping the $3:1$ ratio means sugar equals one-third of the flour.

Correct answer: 15 meters

Six centimeters represents 15 meters. Each centimeter stands for $5 \div 2$ = 2.5 meters, so $6 \times 2.5$ = 15. The scale works as a constant ratio.

Correct answer: 6 miles per hour

The unit rate is 6 miles per hour. Divide 12 miles by 2 hours to find the distance in one hour. A unit rate expresses an amount per single unit.

Correct answer: $0.15

The price is $0.15 per ounce. Divide $2.40 by 16 ounces to find the cost of one ounce. A unit price reduces the total to a single unit.

Correct answer: 10 rolls for $4.50

The 10-roll package is the better buy. Its unit price is $$4.50 \div 10$ = $0.45 per roll, while the smaller pack is $$3.00 \div 6$ = $0.50 per roll. Comparing price per roll shows the better value.

Correct answer: 30 parts per hour

The rate is 30 parts per hour. Divide 240 parts by 8 hours to find production in one hour. A unit rate reduces the comparison to a single hour.

Correct answer: -5

The sum is -5. With different signs, subtract the smaller absolute value from the larger and keep the sign of the larger: 9 - 4 = 5 with a negative sign.

Correct answer: -24

The product is -24. Multiplying a negative by a positive gives a negative result, and $8 \times 3$ = 24, so the answer is -24. Unlike signs produce a negative product.

Correct answer: 4

The quotient is 4. Dividing two negative numbers gives a positive result, and $20 \div 5$ = 4, so the answer is 4. Like signs produce a positive quotient.

Correct answer: -18 feet

The new depth is -18 feet. Rising 12 feet means adding, so -30 + 12 = -18. Moving toward the surface reduces the negative depth.

Correct answer: -11

The result is -11. Subtracting 5 from -6 moves further in the negative direction, so -6 - 5 = -11. Both numbers contribute to the negative total.

Correct answer: $4^{5}$

The result is $4^{5}$. When multiplying powers with the same base, add the exponents, so 3 + 2 = 5. The base stays the same while the exponents are added.

Correct answer: 7

The value is 7. Any number raised to the first power equals itself, so $7^{1}$ = 7. A single power leaves the base unchanged.

Correct answer: $y^{5}$

The result is $y^{5}$. When dividing powers with the same base, subtract the exponents, so 8 - 3 = 5. Division of like bases subtracts the exponents.

Correct answer: $2^{6}$

The result is $2^{6}$. Raising a power to another power multiplies the exponents, so $3 \times 2$ = 6. The base remains 2 while the exponents are multiplied.

Correct answer: $3 \times 3 \times 3$

The expression $3 \times 3 \times 3$ equals $3^{3}$. An exponent shows repeated multiplication of the base, so $3^{3}$ means three factors of 3, which is 27. It is not repeated addition.

Correct answer: $6.2 \times 10^{3}$

The number is $6.2 \times 10^{3}$. Scientific notation uses one nonzero digit before the decimal, and moving the decimal three places left from 6,200 gives 6.2 with an exponent of 3.

Correct answer: 450

The standard form is 450. A positive exponent of 2 moves the decimal two places to the right, turning 4.5 into 450. Positive exponents make the number larger.

Correct answer: $7.3 \times 10^{-3}$

The number is $7.3 \times 10^{-3}$. For numbers less than one the exponent is negative, and moving the decimal three places right from 0.0073 gives 7.3 with an exponent of -3.

Correct answer: $2.4 \times 10^{3}$

The properly expressed number is $2.4 \times 10^{3}$. The coefficient must be at least 1 and less than 10, which only 2.4 satisfies among the choices.

Correct answer: 9a

The simplified form is 9a. Like terms with the same variable combine by adding their coefficients, so 2 + 7 = 9. The variable a stays the same.

Correct answer: 3x + 15

The result is 3x + 15. The distributive property multiplies 3 by each term inside, giving $3 \times x$ and $3 \times 5$. Both terms must be multiplied.

Correct answer: 7m

The result is 7m. All three terms share the variable m, so 9 - 4 + 2 = 7. Like terms are combined by adding and subtracting their coefficients.

Correct answer: 2x - 1

The result is 2x - 1. Distribute 2 to get 2x - 6, then add 5 to combine the constants -6 + 5 = -1. Distribution comes before combining constants.

Correct answer: X = 16

The solution is x = 16. Add 6 to both sides to isolate x, giving 10 + 6 = 16. The inverse of subtraction is addition.

Correct answer: X = 7

The solution is x = 7. Divide both sides by 5 to undo the multiplication, giving $35 \div 5$ = 7. Dividing by the coefficient isolates the variable.

Correct answer: X = 4

The solution is x = 4. Subtract 3 from both sides to get 4x = 16, then divide by 4 to get x = 4. Undo addition before dividing.

Correct answer: X = 27

The solution is x = 27. Multiply both sides by 3 to undo the division, giving $9 \times 3$ = 27. Multiplication is the inverse of division.

Correct answer: 2x + 5 = 17, x = 6

The equation is 2x + 5 = 17 and the number is 6. Subtracting 5 gives 2x = 12, then dividing by 2 gives x = 6. 'Twice a number' means multiply by 2 before adding 5.

Correct answer: 2

The slope is 2. Slope is the change in y over the change in x, so $(8 - 2) \div (4 - 1)$ = $6 \div 3$ = 2. Slope is rise over run between two points.

Correct answer: -4

The slope is -4. In slope-intercept form y = mx + b, the coefficient o$f \times i$s the slope. The constant 7 is the y-intercept, not the slope.

Correct answer: -4

The slope is -4. The line falls, so the rise is negative: $-8 \div 2$ = -4. A downward slope is negative.

Correct answer: A vertical line

An undefined slope describes a vertical line. The run is 0 for a vertical line, and dividing by 0 is undefined. A horizontal line, by contrast, has a slope of 0.

Correct answer: X = 7, y = 5

The solution is x = 7 and y = 5. Adding the equations eliminates y to give 2x = 14, so x = 7, and substituting back gives y = 5. Both equations are satisfied.

Correct answer: X = 4, y = 12

The solution is x = 4 and y = 12. Substituting y = 3x into x + y = 16 gives x + 3x = 16, so 4x = 16 and x = 4, making y = 12. Substitution replaces one variable.

Correct answer: 13 and 7

The numbers are 13 and 7. Adding x + y = 20 and x - y = 6 gives 2x = 26, so x = 13 and y = 7. Their sum is 20 and difference is 6.

Correct answer: 2(4) + 3(5) = $23

The total is $23 from 2(4) + 3(5). The four small drinks bring $8 and the five large drinks bring $15, and $8 + $15 = $23. Each price is multiplied by its quantity.

Correct answer: 13

The hypotenuse is 13. By the Pythagorean theorem, $5^{2} + 12^{2} = 25 + 144 = 169$, and $\sqrt{169} = 13$. The hypotenuse is the root of the summed squares.

Correct answer: 15

The hypotenuse is 15. Using the Pythagorean theorem, $9^{2} + 12^{2} = 81 + 144 = 225$, and $\sqrt{225} = 15$. The answer is the root of the total, not the sum of the legs.

Correct answer: The hypotenuse

The letter c represents the hypotenuse. In the Pythagorean theorem, c is the side opposite the right angle, which is the longest side. The letters a and b stand for the two legs.

Correct answer: 10 yards

The diagonal is 10 yards. The sides act as legs of a right triangle, so $8^{2} + 6^{2} = 64 + 36 = 100$, and $\sqrt{100} = 10$. The diagonal is the hypotenuse.

Correct answer: 48 square m

The area is 48 square m. Area of a rectangle is length times width, so $12 \times 4$ = 48. Adding the sides would give the wrong value.

Correct answer: 26 cm

The perimeter is 26 cm. Perimeter of a rectangle is twice the sum of length and width, so 2 x (10 + 3) = 26. Perimeter measures the distance around the figure.

Correct answer: 20 square in

The area is 20 square in. The area of a triangle is one-half the base times the height, so ($\frac{1}{2}$) x $8 \times 5$ = 20. The one-half factor distinguishes a triangle from a rectangle.

Correct answer: 36 square feet

The carpet needed is 36 square feet. Area of a square is side squared, so $6 \times 6$ = 36. Covering a floor uses area, not perimeter.

Correct answer: $2 \times \pi \times 5$

The circumference is $2 \times \pi \times 5$. Circumference equals 2 times $\pi$ times the radius. The expression $\pi \times 5^{2}$ gives the area instead.

Correct answer: 60 cubic cm

The volume is 60 cubic cm. Volume of a rectangular solid is length times width times height, so $5 \times 4 \times 3$ = 60. Volume multiplies all three dimensions.

Correct answer: 48 cubic in

The volume is 48 cubic in. The volume of a cylinder is the base area times the height, so $12 \times 4$ = 48. Multiplying base area by height fills the solid.

Correct answer: Lengt$h \times w$idt$h \times h$eight

The volume of a rectangular prism is lengt$h \times w$idt$h \times h$eight. Multiplying the three dimensions gives the space inside. Lengt$h \times w$idth alone gives only the area of one face.

Correct answer: 96 square cm

The surface area is 96 square cm. A cube has six equal faces, each with area $4 \times 4$ = 16, so $6 \times 16$ = 96. Surface area sums the areas of all faces.

Correct answer: It is multiplied by 4

The volume is multiplied by 4. Volume depends on $\pi \times r^{2} \times h$, and squaring a doubled radius multiplies the result by 4. The height does not change this factor.

Correct answer: 10

The mean is 10. Add the values to get 6 + 10 + 14 = 30, then divide by the count of 3 to get 10. The mean is the sum divided by the number of values.

Correct answer: 11

The median is 11. With five values in order, the middle one is the third value, which is 11. The median is the center of an ordered list.

Correct answer: 6

The mode is 6. The mode is the value that appears most often, and 6 occurs three times while 9 occurs only twice. Frequency determines the mode.

Correct answer: 9

The average is 9. Add the hours to get 7 + 9 + 11 = 27, then divide by 3 to get 9. The average, or mean, spreads the total across the number of days.

Correct answer: 6

The median is 6. With an even number of values, average the two middle numbers, so $(4 + 8) \div 2$ = 6. The median of an even set lies between the two central values.

Correct answer: $\frac{2}{5}$

The probability is $\frac{2}{5}$. Probability is favorable outcomes over total outcomes, so 4 green out of 10 total is $\frac{4}{10}$, which reduces to $\frac{2}{5}$. The denominator counts all marbles.

Correct answer: $\frac{1}{2}$

The probability is $\frac{1}{2}$. A coin has two equally likely sides, and heads is one of them, so the probability is 1 out of 2. Each outcome on a fair coin is equally likely.

Correct answer: $\frac{2}{5}$

The probability is $\frac{2}{5}$. The even numbers are 2 and 4, which is 2 favorable outcomes out of 5 equal sections. Counting only the even sections over the total gives the probability.

Correct answer: Certain to happen

A probability of 1 means the event is certain to happen. Probabilities range from 0 to 1, where 1 indicates certainty and 0 indicates impossibility. Values near 1 show high likelihood.

Correct answer: Neither the manager nor the clerks were available.

"Neither the manager nor the clerks were available" is correct because with "neither...nor," the verb agrees with the nearer subject, "clerks," which is plural and takes "were." The other options pair singular subjects ("team," "each," "boxes" as the true subject) with the wrong verb forms.

Correct answer: Is

"Is" is correct because the true subject is the singular noun "list," not the plural object of the preposition "vendors." A prepositional phrase between the subject and verb never changes the subject's number, so the singular verb "is" must be used.

Correct answer: There are several reasons for the delay.

"There are several reasons for the delay" is correct because in "there is/are" sentences the verb agrees with the noun that follows it. The noun "reasons" is plural, so the plural verb "are" is required.

Correct answer: Everybody enjoys the holiday party.

"Everybody enjoys the holiday party" is correct because indefinite pronouns such as "everybody" are singular and take a singular verb, "enjoys." "Mathematics" is also singular, and "scissors" is plural, so those options use the wrong verb forms.

Correct answer: Are

"Are" is correct because with "either...or" the verb agrees with the subject closer to it, which is the plural "students." Since "students" is plural, the plural verb "are" must be used.

Correct answer: A number of applicants are growing.

"A number of applicants are growing" is correct because the phrase "a number of" is treated as plural and takes a plural verb. By contrast, "the number of" is singular, so it would require "is."

Correct answer: Go

"Go" is correct because two subjects joined by "and" form a compound plural subject, which takes the plural verb "go." The singular forms would not agree with the plural compound subject.

Correct answer: Dog

The antecedent is "dog" because "its" identifies whose tail is being chased, and only the dog can possess a tail in this sentence. Matching a pronoun to its antecedent means finding the noun the pronoun stands for.

Correct answer: Every player brought his or her own equipment.

"Every player brought his or her own equipment" is correct because the singular antecedent "every player" matches the singular pronoun phrase "his or her." The other sentences pair singular antecedents ("each," "somebody," "neither") with the plural pronoun "their."

Correct answer: His

"His" is correct because the antecedent is the singular "one," not "boys," which is only the object of the preposition. Since "one" refers to a single male, the singular masculine pronoun "his" is required.

Correct answer: When customers pay late, they receive a reminder.

"When customers pay late, they receive a reminder" is correct because making the antecedent plural ("customers") lets the plural pronoun "they" agree. The original mismatched the singular "a customer" with the plural "they."

Correct answer: The jury announced its verdict together.

"The jury announced its verdict together" is correct because when a collective noun like "jury" acts as a single unit, it takes the singular pronoun "its." The word "together" shows the group is acting as one, so a singular pronoun fits.

Correct answer: The dog and the cat ate their food.

"The dog and the cat ate their food" is correct because two antecedents joined by "and" form a plural antecedent, which requires the plural pronoun "their." The original wrongly used the singular "its."

Correct answer: They arrived early and waited in line.

"They arrived early and waited in line" is correct because both verbs, "arrived" and "waited," are in the past tense, keeping the actions in the same time frame. The other sentences mix past with present or future tenses.

Correct answer: "Finishes" should be "finished" to match "went."

Changing "finishes" to "finished" is correct because the sentence describes two completed past actions, and "went" is already past tense. Keeping one verb in present and one in past creates an inconsistent tense shift.

Correct answer: Removed

"Removed" is correct because the first clause uses the past tense "passed," so the second verb must also be past tense to describe an action in the same time frame. The present and future forms would create a tense shift.

Correct answer: The chef chops the vegetables and adds the sauce.

"The chef chops the vegetables and adds the sauce" is correct because both verbs are in the present tense, describing actions in the same time frame. The other versions mix present with past or place a future verb alongside "yesterday."

Correct answer: The fire spread fast, and firefighters rushed to the scene.

"The fire spread fast, and firefighters rushed to the scene" is correct because both "spread" and "rushed" are in the past tense, keeping the actions in the same time frame. The other versions mix tenses inconsistently.

Correct answer: Watched

"Watched" is correct because the passage describes past actions ("walked," "sat"), so the third verb must also be past tense to stay consistent. The signal word "Yesterday" confirms the past time frame.

Correct answer: They planted trees and removed weeds.

"They planted trees and removed weeds" is correct because both verbs are in the past tense, keeping the two actions in the same time frame. The other versions mix present or progressive forms with past tense.

Correct answer: We bought apples, oranges, and pears.

"We bought apples, oranges, and pears" is correct because commas separate three or more items in a series, with one comma after each item except the last. The other options omit needed commas or place them in the wrong spots.

Correct answer: After "ended"

A comma belongs after "ended" because an introductory clause ("After the meeting ended") should be set off with a comma before the main clause. This signals where the introductory element stops and the main idea begins.

Correct answer: However, the plan was rejected.

"However, the plan was rejected" is correct because an introductory transition word like "however" is followed by a comma to separate it from the rest of the sentence. The other placements put the comma in grammatically incorrect positions.

Correct answer: My brother, who lives in Texas, is visiting.

"My brother, who lives in Texas, is visiting" is correct because the phrase "who lives in Texas" adds extra, nonessential information and must be set off by a comma before and after it. Using only one comma or none breaks the rule for nonessential phrases.

Correct answer: The store closed early, so the customers left.

"The store closed early, so the customers left" is correct because a comma is placed before the coordinating conjunction "so" when it joins two independent clauses. Without that comma, or with one in the wrong spot, the rule is broken.

Correct answer: After "Yes" only

A comma belongs after "Yes" because an introductory word like "yes" or "no" is set off with a comma from the rest of the sentence. No comma is needed before "on Monday" since it is part of the main clause.

Correct answer: Thank you for your help, Maria.

"Thank you for your help, Maria" is correct because a name used in direct address is set off with a comma from the rest of the sentence. The comma comes right before the name being addressed.

Correct answer: My aunt visited us in July.

"My aunt visited us in July" is correct because the first word of a sentence and the name of a month are capitalized, while "aunt" is a common noun and stays lowercase. The other options either skip a needed capital or capitalize a common noun.

Correct answer: Gulf of mexico

"Gulf of Mexico" should be capitalized because it is a proper noun naming a specific place. The word "south" stays lowercase here since it shows direction rather than a region's proper name.

Correct answer: The president of the company spoke Spanish fluently.

"The president of the company spoke Spanish fluently" is correct because the sentence starts with a capital, "president" is a common noun used generally so it stays lowercase, and "Spanish" is a language derived from a proper noun and must be capitalized.

Correct answer: The Old Man and the Sea

"The Old Man and the Sea" is correct because in titles you capitalize the first word and all important words but leave short articles, conjunctions, and prepositions like "and" and "the" lowercase unless they begin the title.

Correct answer: We celebrate Thanksgiving every November.

"We celebrate Thanksgiving every November" is correct because the first word, the holiday name "Thanksgiving," and the month "November" are all proper nouns that must be capitalized. The other options miss one or more required capitals.