TACHS study materials
TACHS study resources

TACHS flashcards

TACHS · Build recall with a focused review session.

32 cards. Read the term and the definition here. The deck at the top of this page is optional.

Main idea
The central point a passage supports throughout. It is broader than any single detail and is often stated in the first or last sentence of the passage.
Inference
A conclusion drawn from evidence in the passage plus common knowledge. A valid inference must be provable from the text, not merely plausible in real life.
Context clue
Surrounding words that reveal an unfamiliar word's meaning, through definition, example, contrast, or cause-effect. Substitute each choice back into the sentence to test it.
Author's purpose
The reason a passage was written, such as to inform, persuade, entertain, or explain a process. The purpose is signaled by whether the text reports or argues.
Tone
The author's attitude toward the subject, conveyed through word choice. It is usually positive, negative, or neutral, and extreme labels rarely fit factual passages.
Sequence of events
The order in which actions occur. Signal words such as first, then, after, meanwhile, and finally mark the order and help build a timeline.
Supporting detail
A fact, example, or reason that backs up the main idea. A true detail that does not support the main point is still a wrong answer.
Paired passages
Two short texts on one topic. Answer questions about each passage alone first, then identify the exact point where the authors agree or disagree.
Sentence fragment
A group of words missing a subject, a verb, or a complete thought, or a dependent clause standing alone. Test by asking who or what performs the action.
Comma splice
Two independent clauses joined only by a comma. Fix it with a semicolon, a comma plus coordinating conjunction, or by splitting into two sentences.
Subject-verb agreement
The verb must match its true subject in number. Ignore prepositional phrases in between, and treat indefinite pronouns like everyone and each as singular.
Pronoun-antecedent agreement
A pronoun must match the noun it replaces in number and gender, and refer to exactly one clear noun. Ambiguous reference is an error.
Parallel structure
Items in a list or comparison must share grammatical form, such as all nouns, all -ing forms, or all infinitives. Mixed forms break the sentence's balance.
Dangling modifier
An introductory descriptive phrase must sit next to the noun it describes. If the main clause's subject is wrong, the phrase dangles.
Apostrophe use
Apostrophes mark possession or contraction, never simple plurals. Singular possessive adds 's; plural possessive adds s' after the final s.
Fewer versus less
Use fewer with countable nouns (fewer chairs) and less with mass nouns (less water). Between applies to two items; among applies to three or more.
Verb tense consistency
Keep one tense unless a time signal such as before, after, since, or by the time requires a shift. Had marks the earlier of two past events.
Percent change
Percent change equals the difference divided by the original amount, times 100. Increasing by p percent means multiplying by one plus p over 100.
Dividing fractions
To divide by a fraction, multiply by its reciprocal: a over b divided by c over d equals a over b times d over c. Simplify before multiplying.
Proportion
An equation stating two ratios are equal, solved by cross-multiplying. Scale drawings keep both sides in the same unit before solving.
Area formulas
Rectangle: length times width. Triangle: one-half base times height. Circle: pi times radius squared. Add areas to find composite figures.
Mean, median, mode
Mean is the sum divided by the count. Median is the middle value of an ordered list. Mode is the most frequent value. Range is highest minus lowest.
Distance, rate, time
Distance equals rate times time. Rearrange to rate equals distance divided by time, or time equals distance divided by rate. Keep units consistent.
Order of operations
Evaluate parentheses first, then exponents, then multiplication and division left to right, then addition and subtraction left to right.
Triangle angle sum
The three interior angles of any triangle add to 180 degrees. Angles on a straight line also total 180, and vertical angles are equal.
Simple probability
Probability of one event equals favorable outcomes divided by total outcomes, always between 0 and 1. The chance an event does not occur is 1 minus its probability.
Analogy
A pair of words with a specific relationship, such as part to whole or tool to user. State the relationship as a sentence, then apply it to each choice.
Number series
A sequence following a rule. Check differences first, then ratios, then alternating patterns, then squares, cubes, or plus-one offsets.
Letter series
A sequence of letters converted to positions A equals 1 through Z equals 26. Letter jumps usually mirror a number series rule.
Odd one out
A classification task where all but one item share a category or function. Name the shared property first, then find the item that lacks it.
Syllogism
A deduction from two premises. All A are B does not imply all B are A, and a valid conclusion cannot add information beyond the premises.
Ordering puzzle
A reasoning item with before, after, taller, or shorter clues. Convert each clue into a ranked line and place the most constrained item first.