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verb as in answer, resolve

Strongest matches

Strong matches

  • disentangle

Weak matches

  • get to the bottom
  • make a dent
  • put two and two together

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Related words.

Words related to solve are not direct synonyms, but are associated with the word solve . Browse related words to learn more about word associations.

verb as in bring to successful conclusion; reach a goal

  • bring about
  • bring to pass
  • carry through
  • follow through
  • see through

verb as in reply, react

  • acknowledge
  • answer back
  • back at you
  • be in touch
  • counterclaim
  • field the question
  • get back at
  • get back to
  • give a snappy comeback

verb as in figure out code

Viewing 5 / 29 related words

Example Sentences

We know more than ever about how students reason, process information and solve problems.

I always think about what my favorite creators are building in their homes and what problems they are trying to solve.

Whoever’s fault it is, we either all chip in to solve it or we all suffer.

I was only looking for a generic term that helps me to solve my most immediate problem, which is to create a logo.

She wants them to think about different ways to solve a problem.

But one extra trick would instantly solve the problem of crashes that occur over water.

This is the first study of its kind in Turkey and raises the possibility that a private solution could solve a public problem.

To solve the problem, we need to study a lot more comets and meteorites.

Is there anyone who thinks the urgent problem we need to solve in Washington, D.C. is how to allow more spending on campaigns?

“I doubt you can solve range and the need for a large magazine with the same missile,” he said.

To solve this one I stopped on the tavern steps, leaned against a pillar, and gazed through the dozing village.

But, though a capital sabreur, he was evidently not made to solve questions in diplomacy.

In the preceding chapter we have endeavoured to solve the question what are the qualities that constitute good tone.

The meetings were held secretly behind closed doors because of the grave problems which the convention had to solve.

To solve this problem, is to know the remedy; and to know it, is but necessary, in order successfully to apply it.

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On this page you'll find 98 synonyms, antonyms, and words related to solve, such as: clarify, clear up, deal/deal with, decide, determine, and do.

From Roget's 21st Century Thesaurus, Third Edition Copyright © 2013 by the Philip Lief Group.

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Problem-solving.

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Synonyms of problem

  • as in troublesome
  • as in challenge
  • as in question
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Thesaurus Definition of problem

 (Entry 1 of 2)

Synonyms & Similar Words

  • troublesome
  • complicated

problematic

  • inconvenient
  • problematical
  • importunate
  • discommoding

Antonyms & Near Antonyms

  • straightforward
  • uncomplicated
  • unproblematic
  • undemanding

Thesaurus Definition of problem  (Entry 2 of 2)

  • predicament
  • Gordian knot
  • sticky wicket
  • brainteaser
  • silver bullet
  • magic bullet
  • interrogative

Synonym Chooser

How does the noun problem differ from other similar words?

Some common synonyms of problem are enigma , mystery , puzzle , and riddle . While all these words mean "something which baffles or perplexes," problem applies to a question or difficulty calling for a solution or causing concern.

In what contexts can enigma take the place of problem ?

While the synonyms enigma and problem are close in meaning, enigma applies to utterance or behavior that is very difficult to interpret.

When could mystery be used to replace problem ?

Although the words mystery and problem have much in common, mystery applies to what cannot be fully understood by reason or less strictly to whatever resists or defies explanation.

Where would puzzle be a reasonable alternative to problem ?

The words puzzle and problem are synonyms, but do differ in nuance. Specifically, puzzle applies to an enigma or problem that challenges ingenuity for its solution.

When might riddle be a better fit than problem ?

In some situations, the words riddle and problem are roughly equivalent. However, riddle suggests an enigma or problem involving paradox or apparent contradiction.

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Cite this entry.

“Problem.” Merriam-Webster.com Thesaurus , Merriam-Webster, https://www.merriam-webster.com/thesaurus/problem. Accessed 16 Feb. 2024.

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Nglish: Translation of problem for Spanish Speakers

Britannica English: Translation of problem for Arabic Speakers

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  • \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
  • \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
  • \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
  • \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
  • \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
  • How do you solve word problems?
  • To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
  • How do you identify word problems in math?
  • Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
  • Is there a calculator that can solve word problems?
  • Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
  • What is an age problem?
  • An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

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  • High School Math Solutions – Inequalities Calculator, Exponential Inequalities Last post, we talked about how to solve logarithmic inequalities. This post, we will learn how to solve exponential... Read More

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Solving word problem chart

1. Understand the Problem by Paraphrasing

2. identify key information and variables, 3. translate words into mathematical symbols, 4. break down the problem into manageable parts, 5. draw diagrams or visual representations, 6. use estimation to predict answers, 7. apply logical reasoning for unknown variables, 8. leverage similar problems as templates, 9. check answers in the context of the problem, 10. reflect and learn from mistakes.

Have you ever observed the look of confusion on a student’s face when they encounter a math word problem ? It’s a common sight in classrooms worldwide, underscoring the need for effective strategies for solving math word problems . The main hurdle in solving math word problems is not just the math itself but understanding how to translate the words into mathematical equations that can be solved.

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Generic advice like “read the problem carefully” or “practice more” often falls short in addressing students’ specific difficulties with word problems. Students need targeted math word problem strategies that address the root of their struggles head-on. 

A Guide on Steps to Solving Word Problems: 10 Strategies 

One of the first steps in tackling a math word problem is to make sure your students understand what the problem is asking. Encourage them to paraphrase the problem in their own words. This means they rewrite the problem using simpler language or break it down into more digestible parts. Paraphrasing helps students grasp the concept and focus on the problem’s core elements without getting lost in the complex wording.

Original Problem: “If a farmer has 15 apples and gives away 8, how many does he have left?”

Paraphrased: “A farmer had some apples. He gave some away. Now, how many apples does he have?”

This paraphrasing helps students identify the main action (giving away apples) and what they need to find out (how many apples are left).

Play these subtraction word problem games in the classroom for free:

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Students often get overwhelmed by the details in word problems. Teach them to identify key information and variables essential for solving the problem. This includes numbers , operations ( addition , subtraction , multiplication , division ), and what the question is asking them to find. Highlighting or underlining can be very effective here. This visual differentiation can help students focus on what’s important, ignoring irrelevant details.

  • Encourage students to underline numbers and circle keywords that indicate operations (like ‘total’ for addition and ‘left’ for subtraction).
  • Teach them to write down what they’re solving for, such as “Find: Total apples left.”

Problem: “A classroom has 24 students. If 6 more students joined the class, how many students are there in total?”

Key Information:

  • Original number of students (24)
  • Students joined (6)
  • Looking for the total number of students

Here are some fun addition word problems that your students can play for free:

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The transition from the language of word problems to the language of mathematics is a critical skill. Teach your students to convert words into mathematical symbols and equations. This step is about recognizing keywords and phrases corresponding to mathematical operations and expressions .

Common Translations:

  • “Total,” “sum,” “combined” → Addition (+)
  • “Difference,” “less than,” “remain” → Subtraction (−)
  • “Times,” “product of” → Multiplication (×)
  • “Divided by,” “quotient of” → Division (÷)
  • “Equals” → Equals sign (=)

Problem: “If one book costs $5, how much would 4 books cost?”

Translation: The word “costs” indicates a multiplication operation because we find the total cost of multiple items. Therefore, the equation is 4 × 5 = $20

Complex math word problems can often overwhelm students. Incorporating math strategies for problem solving, such as teaching them to break down the problem into smaller, more manageable parts, is a powerful approach to overcome this challenge. This means looking at the problem step by step rather than simultaneously trying to solve it. Breaking it down helps students focus on one aspect of the problem at a time, making finding the solution more straightforward.

Problem: “John has twice as many apples as Sarah. If Sarah has 5 apples, how many apples do they have together?”

Steps to Break Down the Problem:

Find out how many apples John has: Since John has twice as many apples as Sarah, and Sarah has 5, John has 5 × 2 = 10

Calculate the total number of apples: Add Sarah’s apples to John’s to find the total,  5 + 10 = 15

By splitting the problem into two parts, students can solve it without getting confused by all the details at once.

Explore these fun multiplication word problem games:

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Diagrams and visual representations can be incredibly helpful for students, especially when dealing with spatial or quantity relationships in word problems. Encourage students to draw simple sketches or diagrams to represent the problem visually. This can include drawing bars for comparison, shapes for geometry problems, or even a simple distribution to better understand division or multiplication problems .

Problem: “A garden is 3 times as long as it is wide. If the width is 4 meters, how long is the garden?”

Visual Representation: Draw a rectangle and label the width as 4 meters. Then, sketch the length to represent it as three times the width visually, helping students see that the length is 4 × 3 = 12

Estimation is a valuable skill in solving math word problems, as it allows students to predict the answer’s ballpark figure before solving it precisely. Teaching students to use estimation can help them check their answers for reasonableness and avoid common mistakes.

Problem: “If a book costs $4.95 and you buy 3 books, approximately how much will you spend?”

Estimation Strategy: Round $4.95 to the nearest dollar ($5) and multiply by the number of books (3), so 5 × 3 = 15. Hence, the estimated total cost is about $15.

Estimation helps students understand whether their final answer is plausible, providing a quick way to check their work against a rough calculation.

Check out these fun estimation and prediction word problem worksheets that can be of great help:

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When students encounter problems with unknown variables, it’s crucial to introduce them to logical reasoning. This strategy involves using the information in the problem to deduce the value of unknown variables logically. One of the most effective strategies for solving math word problems is working backward from the desired outcome. This means starting with the result and thinking about the steps leading to that result, which can be particularly useful in algebraic problems.

Problem: “A number added to three times itself equals 32. What is the number?”

Working Backward:

Let the unknown number be x.

The equation based on the problem is  x + 3x = 32

Solve for x by simplifying the equation to 4x=32, then dividing by 4 to find x=8.

By working backward, students can more easily connect the dots between the unknown variable and the information provided.

Practicing problems of similar structure can help students recognize patterns and apply known strategies to new situations. Encourage them to leverage similar problems as templates, analyzing how a solved problem’s strategy can apply to a new one. Creating a personal “problem bank”—a collection of solved problems—can be a valuable reference tool, helping students see the commonalities between different problems and reinforcing the strategies that work.

Suppose students have solved a problem about dividing a set of items among a group of people. In that case, they can use that strategy when encountering a similar problem, even if it’s about dividing money or sharing work equally.

It’s essential for students to learn the habit of checking their answers within the context of the problem to ensure their solutions make sense. This step involves going back to the original problem statement after solving it to verify that the answer fits logically with the given information. Providing a checklist for this process can help students systematically review their answers.

Checklist for Reviewing Answers:

  • Re-read the problem: Ensure the question was understood correctly.
  • Compare with the original problem: Does the answer make sense given the scenario?
  • Use estimation: Does the precise answer align with an earlier estimation?
  • Substitute back: If applicable, plug the answer into the problem to see if it works.

Problem: “If you divide 24 apples among 4 children, how many apples does each child get?”

After solving, students should check that they understood the problem (dividing apples equally).

Their answer (6 apples per child) fits logically with the number of apples and children.

Their estimation aligns with the actual calculation.

Substituting back 4×6=24 confirms the answer is correct.

Teaching students to apply logical reasoning, leverage solved problems as templates, and check their answers in context equips them with a robust toolkit for tackling math word problems efficiently and effectively.

One of the most effective ways for students to improve their problem-solving skills is by reflecting on their errors, especially with math word problems. Using word problem worksheets is one of the most effective strategies for solving word problems, and practicing word problems as it fosters a more thoughtful and reflective approach to problem-solving

These worksheets can provide a variety of problems that challenge students in different ways, allowing them to encounter and work through common pitfalls in a controlled setting. After completing a worksheet, students can review their answers, identify any mistakes, and then reflect on them in their mistake journal. This practice reinforces mathematical concepts and improves their math problem solving strategies over time.

3 Additional Tips for Enhancing Word Problem-Solving Skills

Before we dive into the importance of reflecting on mistakes, here are a few impactful tips to enhance students’ word problem-solving skills further:

1. Utilize Online Word Problem Games

A word problem game

Incorporate online games that focus on math word problems into your teaching. These interactive platforms make learning fun and engaging, allowing students to practice in a dynamic environment. Games can offer instant feedback and adaptive challenges, catering to individual learning speeds and styles.

Here are some word problem games that you can use for free:

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2. Practice Regularly with Diverse Problems

Word problem worksheet

Consistent practice with a wide range of word problems helps students become familiar with different questions and mathematical concepts. This exposure is crucial for building confidence and proficiency.

Start Practicing Word Problems with these Printable Word Problem Worksheets:

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3. Encourage Group Work

Solving word problems in groups allows students to share strategies and learn from each other. A collaborative approach is one of the best strategies for solving math word problems that can unveil multiple methods for tackling the same problem, enriching students’ problem-solving toolkit.

Conclusion 

Mastering math word problems is a journey of small steps. Encourage your students to practice regularly, stay curious, and learn from their mistakes. These strategies for solving math word problems are stepping stones to turning challenges into achievements. Keep it simple, and watch your students grow their confidence and skills, one problem at a time.

Frequently Asked Questions (FAQs)

How can i help my students stay motivated when solving math word problems.

Encourage small victories and use engaging tools like online games to make practice fun and rewarding.

What's the best way to teach beginners word problems?

Begin with simple problems that integrate everyday scenarios to make the connection between math and real-life clear and relatable.

How often should students practice math word problems?

Regular, daily practice with various problems helps build confidence and problem-solving skills over time.

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‘A nightmare’: Special counsel’s assessment of Biden’s mental fitness triggers Democratic panic

WASHINGTON — President Joe Biden sidestepped any criminal charges as the investigation into his handling of classified documents concluded, but the political blowback from the special counsel’s report Thursday could prove even more devastating, reinforcing impressions that he is too old and impaired to hold the highest office.

Special counsel Robert Hur’s portrait of a man who couldn’t remember when he served as Barack Obama’s vice president, or the year when his beloved son Beau died, dealt a blow to Biden’s argument that he is still sharp and fit enough to serve another four-year term.

In deciding not to charge Biden with any crimes, the special counsel wrote that in a potential trial, “Mr. Biden would likely present himself to a jury, as he did during our interview with him, as a sympathetic, well-meaning, elderly man with a poor memory.”

It was tough enough for Biden to reassure voters about his health before Hur’s report hit like a thunderclap Thursday afternoon, prompting members of his own party to question whether he could remain the nominee in November.

“It’s a nightmare,” said a Democratic House member who asked to speak anonymously to provide a frank assessment, adding that “it weakens President Biden electorally, and Donald Trump would be a disaster and an authoritarian.”

“For Democrats, we’re in a grim situation.”

Biden wasted little time before attempting to minimize the fallout. He held an unexpected exchange with reporters in the White House on Thursday night, in which he disputed Hur's assessment of his mental acuity.

Biden grew emotional when invoking the part of the report addressing the date of his son's death.

"How in the hell dare you raise that?" Biden said. "Frankly, when I was asked the question I thought to myself, 'It wasn't any of their damn business.' "

‘Beyond devastating’

Polling has long shown that age looms as Biden’s greatest liability in his expected rematch with Trump. A January poll by NBC News found that 76% of voters have major or moderate concerns about Biden’s mental and physical health.

“It’s been a problem since way before this ever happened,” said a longtime Democratic operative who noted that when focus groups are asked to apply one word to Biden, it is often “old.”

Just this week, Biden twice referred to conversations he’s had as president with foreign leaders who’ve long since died. In his remarks Thursday night defending his competency, while talking about the war in Gaza, he referred to Egyptian President Abdel Fattah el-Sissi as being the head of Mexico. White House press aides have downplayed such lapses as the sort of mistake anyone in public life can make.

The Hur report strips away the defenses that Biden’s press operation has used to protect him and raises fresh doubts about whether Biden is up to the rigors of the presidency, Democratic strategists said in interviews.

“This is beyond devastating,” said another Democratic operative, speaking on condition of anonymity to talk candidly about Biden’s shortcomings. “It confirms every doubt and concern that voters have. If the only reason they didn’t charge him is because he’s too old to be charged, then how can he be president of the United States?”

Asked if Hur’s report changes the calculus for Democrats who expect Biden to be the party’s nominee, this person said: “How the f--- does it not?”

Another Biden ally called it “the worst day of his presidency.”

“I think he needs to show us this is a demonstrably false characterization of him and that he has what it takes to win and govern.”

Biden has overwhelmingly won the first primary contests — notching victories in New Hampshire, South Carolina and Nevada. It would be virtually impossible for anyone else to challenge him at this point; the deadline has passed in more than 30 states to get on primary ballots.

Some of the president’s allies were quick to defend him. They pointed to the timing of the interview with the special counsel — days after Hamas’ attack on Israel, which had captured much of the president’s focus. Others said that in their own dealings with Biden, he shows no sign of infirmity.

“He did so well in this discussion with members,” Rep. Susan Wild, D-Pa., told NBC News after seeing the president on Thursday. “He’s very sharp, no memory issues, and his only stumbling is when he trips over words consistent with his lifelong speech impediment.”

‘Prejudicial language’

Though Biden was fortunate to escape indictment, the special counsel report may give Trump additional fodder as he fights charges for allegedly mishandling classified records at his Mar-a-Lago social club. Republicans are already accusing Biden of benefiting from a double standard . Trump will likely brandish the Hur report as proof that Biden has “weaponized” the Justice Department for political advantage.

What’s more, Democrats will now be hard-pressed to capitalize on Trump’s indictment over retaining classified records. Before Hur’s report came out, Democrats argued that the two cases were very different. Whereas Trump failed to turn over classified records even after he was asked to do so, Biden willingly cooperated with authorities and relinquished all the material he had, Biden allies had argued.

“The public understands the essential difference between presidents or vice presidents like Joe Biden who occasionally behaved in sloppy ways with respect to where they were taking documents, and a president like Trump, who deliberately makes off with hundreds of classified government documents and then hides them and refuses to return them,” Rep. Jamie Raskin, D-Md., said on Wednesday, before the report was released. (Trump has denied any wrongdoing.)

Now, the distinctions may be harder for Biden allies to draw, given that Hur wrote that there was evidence Biden “willfully retained and disclosed classified material after his vice presidency when he was a private citizen.”

The report mentions an instance in February 2017, when he was no longer vice president, when Biden read notes containing classified information “nearly verbatim” to a ghostwriter helping him with his book, “Promise Me, Dad.”

Storage of sensitive government secrets was haphazard. The report describes certain classified records involving the war in Afghanistan in Biden’s Delaware garage inside a “badly damaged box surrounded by household detritus.”

Before the report was released, Biden aides had been bracing for a finding that he had simply been careless in his treatment of classified records, a person familiar with the White House’s thinking said.

The political fallout from the report, though, is likely to be “worse,” this person said. What will stick in people’s minds is what Hur said about Biden’s memory, the person added.

Biden’s lawyers disputed the report’s description of Biden’s forgetfulness.

“We do not believe that the report’s treatment of President Biden’s memory is accurate or appropriate,” two of his lawyers wrote in a letter to Hur. “The report uses highly prejudicial language to describe a commonplace occurrence among witnesses: a lack of recall of years-old events.”

In the hours after the report was released, people close to the Biden campaign rolled out a different rebuttal. Jim Messina, who ran Obama’s 2012 re-election campaign, wrote on X, the site formerly known as Twitter, that Hur is a Republican who “knew exactly how his swipes could hurt Biden politically.”

That’s a familiar argument. Trump has also claimed that law enforcement is trying to sway the election, meaning both sides are now claiming victimization at the hands of partisan prosecutors.

“Hur knew exactly what he was doing here,” Stephanie Cutter, a veteran Democratic operative, wrote on X. “To provide political cover for himself for not prosecuting, he gratuitously leveled a personal (not legal) charge against the president that he absolutely knows is a gift to Trump. And, guess what we are all talking about?”

solve a problem synonym

Peter Nicholas is a senior national political reporter for NBC News.

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  4. PROBLEM Synonym: List of 55 Synonyms for Problem in English • 7ESL

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  25. 'A nightmare': Special counsel's assessment of Biden's mental fitness

    Special counsel Hur's report hit like a thunderclap, prompting members of Joe Biden's own party to question whether he could remain the nominee in November.