TEAS Math cheat sheet

Main idea is the central point of a passage; supporting details answer who, what, when, where, why, or how.

A valid inference must be supported by textual evidence plus reasonable prior knowledge, not by personal preference.

Fact statements can be verified with evidence; opinion statements contain judgment words such as best, should, or beautiful.

Common text structures include cause-effect, compare-contrast, chronological order, problem-solution, and description.

Author's purpose is commonly to inform, persuade, entertain, or explain; tone and word choice help identify it.

Vocabulary in context can be inferred from nearby synonyms, antonyms, examples, definitions, or restatements.

Sequence questions are solved by tracking transition words such as first, next, then, finally, and dates.

Bias is detected through loaded language, omitted counterarguments, and one-sided presentation of sources.

Order of operations: parentheses, exponents, multiplication and division left to right, then addition and subtraction left to right.

To add or subtract fractions, use a common denominator; to divide fractions, multiply by the reciprocal of the divisor.

Percent means per 100; part equals percent times whole, and percent change equals change divided by original value times 100.

A proportion states two ratios are equal and is solved by cross-multiplication: a/b = c/d gives ad = bc.

Mean is the sum of values divided by the count; median is the middle ordered value; mode is the most frequent value.

Probability of an event equals favorable outcomes divided by total possible outcomes.

Rectangle area equals length times width; triangle area equals one-half base times height; circle circumference equals 2πr.

Volume of a rectangular prism equals length times width times height; volume of a cylinder equals πr²h.

Solve linear equations by performing the same operation on both sides until the variable is isolated.

The scientific method typically includes observation, hypothesis, controlled experiment, data analysis, and conclusion.

Cell theory states that all living things are made of cells, cells are the basic unit of life, and new cells arise from existing cells.

Major human body systems include circulatory, respiratory, digestive, nervous, endocrine, immune, and excretory systems.

DNA stores genetic information; adenine pairs with thymine, and cytosine pairs with guanine.

Atoms contain protons and neutrons in the nucleus and electrons in surrounding energy levels.

The pH scale runs from 0 to 14: below 7 is acidic, 7 is neutral, and above 7 is basic.

Newton's laws describe inertia, force equals mass times acceleration, and equal and opposite action-reaction forces.

Energy flows through ecosystems from producers to consumers, with decomposers recycling matter.

The eight parts of speech are noun, pronoun, verb, adjective, adverb, preposition, conjunction, and interjection.

A singular subject takes a singular verb, and a plural subject takes a plural verb, regardless of intervening phrases.

A pronoun must agree with its antecedent in number and gender.

Use a comma before a coordinating conjunction that joins two independent clauses.

Use a semicolon to join closely related independent clauses without a coordinating conjunction.

An apostrophe plus s shows singular possession; an apostrophe after s shows plural possession.

A sentence fragment lacks a subject, a verb, or a complete thought; a run-on joins independent clauses incorrectly.

Active voice has the subject performing the action; passive voice has the subject receiving the action.