Click Study Flashcards above to open the flashcard hub — hundreds of Praxis Core cards you can flip, match, type, or quiz yourself on. Every card is drawn from the three official Praxis Core subtests, so you study exactly what the test measures.[1] Pair them with our free practice test and study guide.
Praxis Core Flashcard Study Modes
Flip mode lets you study one card at a time and check yourself. Match turns terms and definitions into a timed pairing game. Type shows the definition and asks you to produce the term, so a card like Slope becomes a recall test rather than a recognition one. Quiz builds multiple-choice questions from the same cards, which is useful once the vocabulary already feels familiar.

Why Flashcards Work for the Praxis Core
Mathematics (5733) is the largest slice of the deck at 109 cards, so it is the natural place to spend the most time. The cards drill the number-sense and algebra vocabulary that shows up in word problems and in the wording of answer choices: LCM and GCF for working with factors and multiples, Slope for linear relationships, and Ratio for proportional comparisons. Statistics terms sit here too, with Mean, Mode, and Range appearing as separate cards so you do not confuse one measure for another under time pressure.
Writing (5723) carries 81 cards covering both the mechanics half and the essay half of the test. Punctuation gets direct attention through cards such as Comma and Colon, while sentence-level correctness shows up in Modifier, which is the vocabulary behind many of the usage questions. The essay side is represented by process and structure terms: Outline, Revision, and Editing name distinct stages rather than one blurred activity, and Hook and Citation cover how you open an argument and how you credit a source.
Reading (5713) holds 70 cards and focuses on the language used to describe passages and the questions asked about them. Cards like Fact, Claim, and Bias build the distinction between what a text states, what it argues, and how it leans, which is exactly what inference and evaluation items test. Author’s-craft vocabulary is covered by Tone, Mood, and Theme, and figurative language terms such as Idiom and Simile give you the words for questions about meaning beyond the literal.
The Praxis Core spans a lot of ground — reading and vocabulary, grammar and research skills, and math formulas and statistics.[1] Spaced flashcards are the most efficient way to keep it all fresh. Used alongside our practice test and study guide, they turn review time into measurable progress.
Praxis Core Flashcards by Subtest
The cards are organized by the three official Praxis Core subtests. Because each is passed independently, drill one subtest at a time — start with whichever you find hardest:
| Subtest | Questions | Test time |
|---|---|---|
| Reading (5713) | 56 selected-response | 85 min |
| Writing (5723) | 40 selected-response + 2 essays | 100 min |
| Mathematics (5733) | 56 selected-response | 90 min |
How to Get the Most Out of These Flashcards
- Start with Mathematics. It holds 109 cards, more than either other domain, so early sessions there move the largest share of the deck toward recall.
- Type-drill the confusable pairs. Cards such as LCM and GCF reward typed recall because recognizing them in a list is far easier than producing the right one from a definition.
- Use Match for the short label cards. Terms like Tone, Mood, and Theme pair quickly and the timer exposes which literary labels you are still guessing between.
- Switch to the practice test once Quiz feels easy. When multiple choice stops challenging you, move to full-length questions and use the study guide for any concept the cards only name.
- Work in domain-sized batches. Split the 81 Writing cards across several sittings, then revisit missed cards before adding new ones, rather than cycling all 260 in one pass.
Praxis Core Flashcards FAQ
Hundreds of free Praxis Core flashcards, organized across all three subtests — Reading (5713), Writing (5723), and Mathematics (5733). They cover the high-yield terms and concepts each subtest measures, and they're free with no account required.
Yes. Flashcards use active recall — pulling an answer from memory — which research shows is one of the most effective study methods, especially in short, spaced sessions. They're ideal for the Praxis Core's vocabulary, grammar rules, math formulas, and research-skills terms.
All three: Reading (main ideas, inference, vocabulary in context), Writing (subject-verb agreement, punctuation, research and citation, the two essays), and Math (percents, slope, the Pythagorean theorem, mean/median/mode). Drill one subtest at a time.
Focus on one subtest at a time, since each is passed independently. Mix the modes: flip to learn, type to test recall, match for speed, and quiz to check yourself before a full practice test. Drill your weakest subtest until the score clears the requirement.
Yes — 100% free, all four study modes, no paywall.
Yes. The cards are organized to the current ETS content for each of the three subtests — Reading (5713), Writing (5723), and Mathematics (5733) — each scored on the 100–200 scale and passed independently.
Praxis Core flashcard bank
All 260 cards, by topic
A reference copy of every card in this deck. Each answer stays hidden until you choose to show it. To study with Flip, Match, Type and Quiz modes and track what you have mastered, use Study Flashcards at the top of the page.
Reading (5713) (70)
- Main idea
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The central point a passage conveys — what the whole text is mostly about.
- Supporting detail
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A fact, example, statistic, or reason that explains, proves, or develops the main idea.
- Inference
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A logical conclusion drawn from text evidence plus reasoning — implied, not stated outright.
- Author's purpose
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The reason a text was written — to inform, persuade, entertain, or explain.
- Tone
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The author's attitude toward the subject, shown through word choice (e.g., formal, critical, hopeful).
- Mood
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The feeling or atmosphere a text creates in the reader.
- Point of view
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The perspective from which a text is written and the author's stance toward the subject.
- Vocabulary in context
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The meaning of a word as it is used in a specific sentence, found from context clues.
- Context clues
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Surrounding words and ideas that reveal the meaning of an unfamiliar word.
- Connotation
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The emotional or implied meaning of a word, beyond its literal definition.
- Denotation
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The literal, dictionary meaning of a word.
- Fact
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A statement that can be verified or proven true.
- Opinion
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A belief, judgment, or interpretation that cannot be proven.
- Text structure
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How a passage is organized — e.g., cause/effect, compare/contrast, sequence, problem/solution.
- Cause and effect
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A text structure showing how one event leads to another.
- Compare and contrast
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A text structure that examines similarities and differences.
- Sequence
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A text structure that presents events or steps in order.
- Problem and solution
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A text structure that states a problem and proposes a way to solve it.
- Summary
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A brief restatement of a passage's main idea and key points in your own words.
- Paraphrase
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Restating someone else's idea in your own words and sentence structure.
- Theme
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The underlying message or insight about life that a literary text conveys.
- Figurative language
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Language that means more than the literal words — metaphor, simile, personification, idiom.
- Simile
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A comparison using 'like' or 'as' (e.g., 'brave as a lion').
- Metaphor
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A direct comparison stating one thing is another (e.g., 'time is money').
- Personification
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Giving human qualities to a non-human thing.
- Idiom
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A common expression whose meaning differs from its literal words (e.g., 'break a leg').
- Hyperbole
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Deliberate exaggeration for emphasis or effect.
- Symbolism
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Using an object or image to represent a larger idea.
- Topic sentence
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The sentence (often first) that states the main idea of a paragraph.
- Thesis (in reading)
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The central claim or controlling idea a whole text argues or explains.
- Claim
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A debatable statement an author argues for.
- Evidence
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Facts, examples, and reasoning used to support a claim.
- Anecdotal evidence
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A single personal story or example — weak support for a broad claim.
- Bias
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A one-sided perspective that can distort an author's argument.
- Counterargument
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A point that opposes the author's claim, often addressed to strengthen the argument.
- Evaluate an argument
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Judge whether the evidence is sufficient and relevant to the claim.
- Synthesis
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Combining ideas from two or more sources into a coherent understanding.
- Primary source (reading)
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A firsthand or original account of an event or topic.
- Secondary source (reading)
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A source that analyzes or interprets primary sources.
- Drawing conclusions
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Using stated facts plus reasoning to reach a logical judgment.
- Implicit meaning
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Meaning that is suggested or implied rather than stated directly.
- Explicit meaning
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Meaning that is stated directly in the text.
- Generalization
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A broad statement drawn from specific examples; valid only if well supported.
- Audience
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The readers a text is written for, which shapes its language and content.
- Rhetoric
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The author's use of language to inform or persuade an audience.
- Graphic / data in reading
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Charts, tables, and graphs that must be read and tied back to the passage.
- Paired passages
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Two passages on a related topic that you compare and synthesize.
- Objective summary
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A summary free of personal opinion or judgment.
- Word relationships
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How words relate in meaning — synonyms, antonyms, analogies.
- Transition words
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Words like 'however,' 'therefore,' and 'meanwhile' that signal connections between ideas.
- Explicit vs. implicit
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Explicit is stated directly; implicit is suggested and must be inferred.
- Argument
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A claim supported by reasons and evidence.
- Logical fallacy
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A flaw in reasoning that weakens an argument.
- Relevant evidence
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Support that directly relates to and backs the claim.
- Sufficient evidence
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Enough support to reasonably establish a claim.
- Compare sources
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Identify agreement, disagreement, and differing emphasis between two texts.
- Author's assumption
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An unstated belief the author treats as true.
- Connotative meaning
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The feelings or associations a word carries beyond its definition.
- Chronological order
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A sequence structure that presents events in time order.
- Main idea vs. theme
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Main idea is the central point; theme is the broader life message.
- Restating the main idea
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A correct summary covers the whole passage, not just one detail.
- Persuasive text
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Writing intended to convince the reader of a position.
- Informational text
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Writing intended to explain or inform; about 75% of test passages.
- Reading for detail
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Locating a specific fact or statement in the passage.
- Tone words
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Word choices that reveal attitude (e.g., 'sadly,' 'fortunately').
- Fact-based question
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Answer is stated directly in the passage.
- Inference question
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Answer is implied; reason from the text's evidence.
- Vocabulary strategy
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Plug each choice into the sentence and keep the original meaning.
- Best title
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A good title captures the passage's main idea, not a single detail.
- Quantitative information
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Numbers, charts, or graphs you interpret alongside the text.
Writing (5723) (81)
- Subject-verb agreement
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A singular subject takes a singular verb; a plural subject takes a plural verb.
- Verb tense
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The form of a verb that shows when an action happens; keep it consistent unless time changes.
- Pronoun-antecedent agreement
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A pronoun must match its antecedent in number and gender.
- Pronoun clarity
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Every pronoun must clearly refer to one specific noun.
- Antecedent
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The noun a pronoun refers back to.
- Parallel structure
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Items in a list or comparison share the same grammatical form.
- Modifier
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A word or phrase that describes another word.
- Misplaced modifier
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A modifier positioned so it seems to describe the wrong word.
- Dangling modifier
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A modifier with no clear word in the sentence to describe.
- Run-on sentence
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Two independent clauses joined without proper punctuation or a conjunction.
- Comma splice
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Joining two independent clauses with only a comma — an error.
- Sentence fragment
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An incomplete sentence missing a subject, verb, or complete thought.
- Independent clause
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A clause that can stand alone as a complete sentence.
- Dependent clause
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A clause that cannot stand alone and depends on an independent clause.
- Coordinating conjunction
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FANBOYS: for, and, nor, but, or, yet, so — join equal elements.
- Subordinating conjunction
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A word like 'because,' 'although,' or 'when' that begins a dependent clause.
- Active voice
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The subject performs the action (e.g., 'The teacher graded the tests').
- Passive voice
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The subject receives the action (e.g., 'The tests were graded').
- Comma
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Separates items, sets off intro/nonessential phrases, and joins clauses with a conjunction.
- Semicolon
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Joins two closely related independent clauses without a conjunction.
- Colon
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Introduces a list, explanation, or quotation after a complete clause.
- Apostrophe
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Shows possession (dog's) or contraction (it's) — never a plain plural.
- Its vs. it's
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'Its' = possessive; 'it's' = 'it is' or 'it has.'
- Their / there / they're
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'Their' = possessive; 'there' = place; 'they're' = 'they are.'
- Your vs. you're
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'Your' = possessive; 'you're' = 'you are.'
- Capitalization
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Capitalize proper nouns and the first word of a sentence.
- Word choice (diction)
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Choosing precise, appropriate, standard English words.
- Wordiness
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Using more words than needed; concise writing is usually better.
- Redundancy
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Unnecessary repetition of an idea (e.g., 'free gift').
- Conciseness
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Expressing ideas clearly in as few words as needed.
- Standard English conventions
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The accepted rules of grammar, usage, punctuation, and mechanics.
- Argumentative essay
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An essay that takes a clear position on an issue and defends it with reasons and evidence.
- Source-based essay
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An informative/explanatory essay that synthesizes and cites two provided sources.
- Thesis statement
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A single sentence stating the central claim or focus of an essay.
- Introduction
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The opening paragraph that hooks the reader and states the thesis.
- Body paragraph
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A paragraph that develops one main point with evidence and explanation.
- Topic sentence (writing)
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The sentence that states the main point of a body paragraph.
- Conclusion
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The closing paragraph that restates the thesis and ties the ideas together.
- Transitions
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Words and phrases that connect ideas and guide the reader between points.
- Counterargument (writing)
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An opposing view the writer acknowledges, often to refute it.
- Plagiarism
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Using another's words or ideas without credit.
- Citation
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A reference that credits a source so readers can identify and locate it.
- Quotation
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Another's exact words, set in quotation marks and cited.
- Paraphrasing
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Restating a source's idea in your own words and structure, with a citation.
- In-text citation
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A brief note in the text pointing to a full reference (e.g., author and page).
- Primary source (research)
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A firsthand or original document (e.g., a diary, data set, or interview).
- Secondary source (research)
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A source that analyzes or interprets primary sources.
- Credible source
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A relevant, current, accurate source from an authority with little bias.
- Evaluating sources
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Judging a source's relevance, credibility, currency, and bias.
- Integrating evidence
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Smoothly blending quotation or paraphrase into your own writing, then citing it.
- Revision
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Improving content, organization, and clarity of writing.
- Editing
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Correcting grammar, punctuation, spelling, and mechanics.
- Audience and purpose
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Whom you write for and why — they shape tone and word choice.
- Spelling (commonly confused)
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Watch homophones: accept/except, affect/effect, then/than.
- Affect vs. effect
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'Affect' is usually a verb (to influence); 'effect' is usually a noun (a result).
- Then vs. than
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'Then' = time/sequence; 'than' = comparison.
- Comma after intro phrase
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Use a comma after an introductory word, phrase, or clause.
- Nonessential clause
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Set off with commas; removing it doesn't change the core meaning.
- Essential clause
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No commas; it's needed to identify the noun.
- Joining clauses correctly
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Use a period, semicolon, or comma + conjunction — not a lone comma.
- Verb agreement with phrases
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Ignore words between the subject and verb when checking agreement.
- Compound subject (and)
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Subjects joined by 'and' usually take a plural verb.
- Compound subject (or/nor)
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With 'or'/'nor,' the verb agrees with the nearer subject.
- Consistent point of view
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Don't shift between first, second, and third person without reason.
- Sentence variety
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Mixing sentence lengths and types improves writing quality.
- Concise revision
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Cut wordiness while keeping meaning; shorter and correct beats long and fancy.
- Formal vs. informal tone
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Match tone to audience and purpose; the essays expect standard English.
- Outline
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A plan that organizes an essay's thesis and main points before drafting.
- Hook
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An opening line that grabs the reader's attention.
- Evidence in an essay
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Specific reasons, examples, or source material that supports a point.
- Synthesis (writing)
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Combining ideas from both sources into one coherent explanation.
- Objective stance
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Presenting information without inserting personal opinion (source-based essay).
- Proofreading
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A final pass to catch grammar, spelling, and punctuation errors.
- Homophone
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Words that sound alike but differ in meaning/spelling (to/two/too).
- Accept vs. except
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'Accept' = to receive; 'except' = to leave out.
- Subject of a sentence
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Who or what the sentence is about; it performs the verb.
- Predicate
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The part of a sentence containing the verb and what's said about the subject.
- Apostrophe for plurals
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Wrong — apostrophes don't make plurals (apple's ≠ apples).
- Citing a quotation
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Provide the source so a reader can find the exact wording.
- Bias in sources
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A one-sided slant that reduces a source's credibility.
- Current source
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Up-to-date information is usually more credible than outdated material.
Mathematics (5733) (109)
- Slope
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Rise over run: the change in y over the change in x; the m in y = mx + b.
- Slope formula
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slope = (y₂ − y₁) / (x₂ − x₁)
- Y-intercept
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Where a line crosses the y-axis (x = 0); the b in y = mx + b.
- Slope-intercept form
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y = mx + b, where m is the slope and b is the y-intercept.
- Horizontal line slope
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A horizontal line has slope 0.
- Vertical line slope
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A vertical line has an undefined slope.
- Order of operations
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PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction.
- PEMDAS example
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4 + 3 × 2 = 4 + 6 = 10 (multiply before adding).
- Percent
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A part per hundred; 25% means 25 out of 100.
- Percent to decimal
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Divide by 100 (or move the decimal 2 places left): 25% = 0.25.
- Percent of a number
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Convert to a decimal and multiply: 20% of 80 = 0.20 × 80 = 16.
- Percent change
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(new − old) / old × 100.
- Ratio
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A comparison of two quantities by division (e.g., 3 to 4, or 3:4).
- Proportion
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An equation stating two ratios are equal; solve by cross-multiplying.
- Cross-multiplying
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For a/b = c/d, set a × d = b × c.
- Unit rate
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A ratio comparing a quantity to one unit (e.g., miles per hour).
- Integer
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A whole number or its negative, including 0 (…, −2, −1, 0, 1, 2, …).
- Absolute value
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A number's distance from 0; always non-negative. |−5| = 5.
- Negative × negative
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A negative times a negative equals a positive.
- Negative × positive
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A negative times a positive equals a negative.
- Exponent
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Repeated multiplication: 2³ = 2 × 2 × 2 = 8.
- Square root
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√ undoes squaring: √25 = 5.
- Exponent product rule
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xᵃ × xᵇ = xᵃ⁺ᵇ.
- Prime number
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A whole number greater than 1 with exactly two factors: 1 and itself (e.g., 2, 3, 5, 7).
- Composite number
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A whole number greater than 1 with more than two factors (e.g., 4, 6, 9).
- Factor
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A number that divides another evenly (3 is a factor of 12).
- Multiple
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The product of a number and an integer (12 is a multiple of 3).
- LCM
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Least common multiple — the smallest number that is a multiple of two numbers.
- GCF
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Greatest common factor — the largest number that divides two numbers evenly.
- Rounding
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Look at the next digit: 5 or more rounds up, less than 5 rounds down.
- Place value
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The value of a digit based on its position (ones, tens, hundreds…).
- Fraction addition
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Find a common denominator, then add the numerators.
- Fraction multiplication
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Multiply numerators and denominators straight across.
- Mixed number
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A whole number plus a fraction (e.g., 2½).
- Linear equation
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An equation whose graph is a straight line; variables to the first power.
- Solving equations
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Use inverse operations to isolate the variable on one side.
- Inequality
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Solve like an equation, but flip the sign when multiplying/dividing by a negative.
- Expression
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A combination of numbers, variables, and operations with no equals sign.
- Variable
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A symbol (like x) that stands for an unknown number.
- Function
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A rule where each input has exactly one output; f(x) is the output for x.
- Coordinate plane
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A grid of x (horizontal) and y (vertical) axes meeting at the origin (0, 0).
- Distributive property
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a(b + c) = ab + ac.
- Perimeter
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The distance around a shape; add all the side lengths.
- Rectangle area
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Area = length × width.
- Triangle area
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Area = ½ × base × height.
- Circle area
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Area = πr², where r is the radius.
- Circumference
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Circumference = 2πr (or πd).
- Rectangular solid volume
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Volume = length × width × height.
- Cylinder volume
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Volume = πr²h.
- Pythagorean theorem
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In a right triangle, a² + b² = c², where c is the hypotenuse.
- Hypotenuse
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The longest side of a right triangle, opposite the right angle.
- Radius vs. diameter
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The radius is half the diameter; diameter = 2 × radius.
- Angles on a line
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Angles on a straight line add up to 180°.
- Angles in a triangle
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The interior angles of a triangle sum to 180°.
- Full turn
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A full rotation is 360°.
- Similar figures
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Same shape, proportional sides; corresponding angles are equal.
- Congruent figures
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Same shape and same size.
- Mean
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The average — add all values and divide by how many there are.
- Median
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The middle value when data are in order (average the two middle if even count).
- Mode
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The value that appears most often in a data set.
- Range
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The difference between the highest and lowest values.
- Outlier
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A value far from the rest; it affects the mean more than the median.
- Probability
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Favorable outcomes ÷ total outcomes — a number from 0 to 1.
- Probability of 0
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An impossible event has probability 0.
- Probability of 1
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A certain event has probability 1.
- Reading a graph
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Use the title, axes, labels, legend, and units to interpret data.
- Bar graph
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Compares amounts across categories with rectangular bars.
- Line graph
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Shows change over time with points connected by lines.
- Pie chart
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Shows parts of a whole as slices of a circle.
- Scientific notation
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A number written as a × 10ⁿ, with 1 ≤ a < 10 (e.g., 3.2 × 10⁴).
- Estimation
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Rounding to check whether an answer is reasonable.
- Decimal to percent
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Multiply by 100 (move the point 2 places right): 0.4 = 40%.
- Fraction to decimal
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Divide the numerator by the denominator: 3/4 = 0.75.
- Equivalent fractions
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Fractions equal in value (1/2 = 2/4 = 3/6).
- Simplifying fractions
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Divide numerator and denominator by their GCF.
- Decimal place value
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Tenths, hundredths, thousandths to the right of the point.
- Adding negatives
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−3 + (−5) = −8; same sign, add and keep the sign.
- Subtracting integers
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Subtracting is adding the opposite: 4 − (−3) = 4 + 3 = 7.
- Squaring a number
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Multiply it by itself: 6² = 36.
- Perfect square
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A number that is an integer squared (1, 4, 9, 16, 25…).
- Word problem strategy
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Identify the question, assign a variable, translate, then solve.
- Average word problem
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To find a missing value given an average, multiply the average by the count.
- Direct proportion
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As one quantity grows, the other grows at the same rate.
- Scale factor
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The ratio by which a figure is enlarged or reduced.
- Coordinate point
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Written (x, y): x is horizontal, y is vertical.
- Origin
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The point (0, 0) where the x- and y-axes meet.
- Quadrants
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The four regions of the coordinate plane, numbered I–IV.
- X-axis
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The horizontal axis on the coordinate plane.
- Y-axis
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The vertical axis on the coordinate plane.
- Function notation
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f(x) means the output of function f for input x.
- Evaluate a function
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Substitute the input value and compute: if f(x)=2x+1, f(3)=7.
- Combining like terms
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Add or subtract terms with the same variable: 3x + 2x = 5x.
- Equation vs. expression
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An equation has an equals sign; an expression does not.
- Surface area
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The total area of all faces of a solid.
- Volume
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The amount of space a solid occupies, measured in cubic units.
- Diameter
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A straight line through a circle's center; twice the radius.
- Right angle
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An angle of exactly 90°.
- Acute angle
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An angle less than 90°.
- Obtuse angle
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An angle greater than 90° but less than 180°.
- Supplementary angles
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Two angles that add up to 180°.
- Complementary angles
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Two angles that add up to 90°.
- Mean from a total
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Mean = total sum ÷ number of values.
- Median (even count)
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Average the two middle values.
- Probability (and)
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For independent events, multiply their probabilities.
- Theoretical probability
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What should happen based on equally likely outcomes.
- Data display
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A chart, table, or graph used to organize and show data.
- Comparing data sets
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Compare center (mean/median) and spread (range) between sets.
- Reasonable answer
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Estimate first to check that a computed answer makes sense.
- Units in measurement
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Keep all measurements in the same unit before calculating.
References
- 1.Educational Testing Service. “Praxis Core Academic Skills for Educators.” ets.org. ↑
- 2.Educational Testing Service. “Core Combined (5752).” ets.org. ↑
- 3.Educational Testing Service. “Praxis Passing Scores.” ets.org. ↑

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