AFQT study materials
AFQT study resources

AFQT flashcards

AFQT · 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.

Percent change formula
Percent change equals the amount of change divided by the original amount, then multiplied by 100. Use the original value as the denominator.
Average total relationship
Average equals total divided by count. Rearranged, total equals average multiplied by count, and count equals total divided by average.
Work rate rule
For one job, add individual work rates to get the combined rate. The time to finish together is 1 divided by that combined rate when rates are jobs per hour.
Distance formula
Distance equals rate multiplied by time. Rearrange to rate equals distance divided by time, or time equals distance divided by rate. Keep units consistent.
Simple interest formula
Simple interest equals principal multiplied by annual interest rate multiplied by time in years. Total amount equals principal plus interest.
Discount sale price
Sale price equals original price multiplied by one minus the discount rate. A 20 percent discount means paying 80 percent of the original price.
Ratio total parts
In a part-to-part ratio, add the ratio numbers to find total parts. Divide the total quantity by total parts, then multiply by each ratio number.
Profit calculation
Profit equals revenue minus cost. If revenue is less than cost, the result is a loss. Profit percent often compares profit to cost.
Order of operations
Evaluate parentheses first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right.
Slope formula
Slope equals the change in y divided by the change in x between two points. A horizontal line has slope zero; a vertical line has undefined slope.
Slope-intercept form
In y equals m x plus b, m is the slope and b is the y-intercept, the point where the line crosses the y-axis.
Circle formulas
Circumference equals 2 times pi times radius. Area equals pi times radius squared. Diameter equals twice the radius.
Triangle area
Area of a triangle equals one-half times base times height. The height must be perpendicular to the chosen base.
Pythagorean theorem
For a right triangle, a squared plus b squared equals c squared, where c is the hypotenuse opposite the right angle.
Exponent product rule
When multiplying powers with the same base, add the exponents. When raising a power to a power, multiply the exponents.
Linear equation solving
To isolate a variable, perform the same operation on both sides. Undo addition or subtraction first, then multiplication or division.
Context contrast clue
Words such as but, however, although, and unlike signal a contrast. The unknown word likely means the opposite of the nearby idea.
Context example clue
Phrases such as for example, including, and such as introduce examples. The examples help define an unfamiliar word by showing what it refers to.
Prefix pre-
The prefix pre- means before. It appears in words such as preview, predict, and prepare, which involve something happening or being done ahead of time.
Root spect
The root spect means look or see. It appears in inspect, spectator, and perspective, words connected with viewing or examining.
Suffix -less
The suffix -less means without. Adding it to a noun forms an adjective, as in hopeless meaning without hope.
Affect versus effect
Affect is usually a verb meaning to influence. Effect is usually a noun meaning a result. Remember: affect is an action; effect is an outcome.
Connotation meaning
Connotation is the feeling a word suggests beyond its dictionary meaning. Words can carry positive, negative, or neutral associations.
Adverb function
An adverb modifies a verb, adjective, or another adverb. It often answers how, when, where, or to what degree.
Main idea
The main idea is the central point of a passage. It combines the topic with what the author says about that topic.
Supporting details
Supporting details explain, illustrate, or prove the main idea. They often answer who, what, when, where, why, or how.
Valid inference
A valid inference is a logical conclusion based on evidence in the passage. It is not directly stated but must be supported by details.
Author's purpose
Author's purpose is the reason for writing, such as to inform, persuade, entertain, or explain. The overall message and tone help identify it.
Tone in passage
Tone is the author's attitude toward the subject. Word choice, imagery, and examples reveal whether the tone is serious, humorous, critical, or friendly.
Sequence transition words
Words such as first, next, then, and finally signal order. They help readers follow steps, events, or ideas in time order.
Compare and contrast clue
Words such as both, similarly, unlike, and however signal comparison or contrast. Comparison shows similarities; contrast shows differences.
Fact versus opinion
A fact can be verified with evidence. An opinion expresses a belief, judgment, or feeling and often includes evaluative words.