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

Percentage change formula
Percentage change equals (new value minus old value) divided by old value, multiplied by 100; a positive result is an increase and a negative result is a decrease.
Average speed equal distances
When equal distances are traveled at speeds x and y, average speed is 2xy divided by (x + y), not the simple mean (x + y)/2.
Compound interest formula
A = P(1 + r/n)^(nt), where P is principal, r is annual rate, n is compounds per year, and t is years; interest earns interest each period.
Work rate together
If worker A completes a job in a days and worker B in b days, working together they finish in ab/(a + b) days, because rates add.
Direct proportion
Two quantities are directly proportional when y = kx for a constant k; doubling x doubles y, and the ratio y/x stays constant.
Inverse proportion
Two quantities are inversely proportional when y = k/x; doubling x halves y, and the product xy remains constant.
Ratio sharing
To divide a total T in the ratio a:b:c, add the parts to get a+b+c, then each share equals its part divided by the sum, multiplied by T.
Analogy relationship types
Common analogy relationships include part to whole, cause to effect, synonym, antonym, degree, and function; identify the exact link before choosing an answer.
Letter position conversion
Convert letters to numbers using A=1 through Z=26; in letter series, compute the jumps between positions to find the pattern.
All A are B
The statement ‘all A are B’ does not imply ‘all B are A’; only conclusions that must be true from the given statements are valid.
Odd one out strategy
Group the words by a shared property such as meaning, word class, or category; the word that cannot join any group is the answer.
Antonym versus synonym
A synonym has a similar meaning to the target word, while an antonym has the opposite meaning; check the direction the question asks for.
Word code shift
In letter-shift codes, each letter is replaced by another a fixed number of positions away, such as +3 meaning A becomes D.
Main idea
The main idea is the central point that the entire passage supports; details illustrate it but do not replace it as the overall claim.
Valid inference
A valid inference follows necessarily from the text; if an answer requires outside knowledge or a guess, it is not supported by the passage.
Author's tone
Tone is the author’s attitude, such as critical, neutral, or enthusiastic, revealed through word choice, adjectives, and punctuation.
According to the passage
Questions phrased ‘according to the passage’ require locating explicit information in the text, not adding personal opinion or prior knowledge.
Vocabulary in context
To find a word’s meaning in context, substitute each answer choice into the sentence and check whether the passage’s meaning is preserved.
Author's purpose
Purpose is why the author writes, such as to inform, persuade, entertain, or compare; structure and verb choices signal which purpose is intended.
Extreme answer choices
Options containing all, never, or always are usually wrong unless the passage states them absolutely; moderate, text-supported options are safer.
Area of a triangle
The area of a triangle equals one half multiplied by its base and height, where height is perpendicular to the chosen base.
Pythagorean theorem
In a right triangle, a² + b² = c², where a and b are the legs and c is the hypotenuse opposite the right angle.
Slope of a line
Slope equals (y₂ − y₁) divided by (x₂ − x₁); parallel lines have equal slopes, and perpendicular slopes multiply to negative one.
Quadratic formula
For ax² + bx + c = 0, x = [−b ± √(b² − 4ac)]/(2a); the discriminant b² − 4ac indicates the number of real roots.
Probability of an event
Probability equals favorable outcomes divided by total equally likely outcomes; the probability of the complement is 1 minus the event probability.
Mean, median, mode
Mean is the sum divided by the count; median is the middle value when ordered; mode is the most frequently occurring value in the data set.
Volume of a cylinder
The volume of a cylinder equals πr²h, where r is the base radius and h is the height; a cone has one third of this volume.
Comma splice
A comma splice joins two independent clauses with only a comma; correct it with a conjunction, a semicolon, or a period.
Subject-verb agreement
A singular subject takes a singular verb and a plural subject takes a plural verb; ignore phrases between the subject and verb.
Dangling modifier
A dangling modifier lacks a logical subject in the main clause; rewrite so the word being described immediately follows the modifier.
Parallel structure
Items in a list or comparison must share the same grammatical form, such as all verbs, all nouns, or all infinitive phrases.
Colon use
A colon follows a complete clause to introduce a list, explanation, or quotation; it should not separate a verb from its object.