AFCT study materials
AFCT study resources

AFCT key terms

AFCT · Get comfortable with the vocabulary.

synonym

A word that has the same or nearly the same meaning as another word, such as "begin" and "start". Word Knowledge questions often ask you to pick the answer closest in meaning to the given word.

Related: antonym, context clue
antonym

A word that means the opposite of another word, such as "expand" and "shrink". Recognizing opposites helps eliminate wrong answer choices quickly.

Related: synonym, context clue
context clue

A hint about a word's meaning found in the surrounding sentence, such as a contrast word or an example. Using nearby words often reveals an unfamiliar term's sense without a dictionary.

Related: synonym, connotation
connotation

The feeling or attitude a word suggests beyond its literal meaning, such as "thrifty" versus "stingy". Two words with similar definitions can carry very different emotional shades.

Related: denotation, context clue
denotation

The exact, dictionary meaning of a word apart from any emotional suggestion. Distinguishing it from connotation helps you choose the most precise answer.

Related: connotation
main idea

The central point a paragraph is built around, usually stated or strongly implied in one sentence. Everything else in the passage supports, explains, or illustrates it.

Related: topic sentence, supporting detail
topic sentence

A sentence, often first in a paragraph, that announces what the paragraph will be about. It acts as a signpost for the writer's main point.

Related: main idea, supporting detail
supporting detail

A fact, example, or reason that backs up the main idea of a passage. Details answer who, what, when, where, or why about the central claim.

Related: main idea, inference
inference

A conclusion drawn from evidence in the text rather than stated outright. You combine stated facts with logic to reach a reasonable but unstated meaning.

Related: supporting detail, main idea
tone

The writer's attitude toward the subject, revealed through word choice and phrasing, such as humorous, bitter, or objective. Tone differs from the reader's own reaction.

Related: connotation, main idea
ratio

A comparison of two quantities by division, often written as a fraction or with a colon, such as 3:4. Ratios let you scale amounts up or down proportionally.

Related: proportion, rate
proportion

An equation stating that two ratios are equal, such as 2/3 = 4/6. Solving a proportion means finding the unknown value that keeps both sides balanced.

Related: ratio, cross multiplication
rate

A ratio that compares quantities with different units, such as miles per hour or dollars per pound. Rates are often used in word problems about speed, pay, or work.

Related: ratio, unit rate
unit rate

A rate expressed per single unit of the second quantity, such as cost per one item. Finding the unit rate makes comparisons between different offers straightforward.

Related: rate, proportion
percent

A part expressed as a fraction of one hundred, where 25% means 25 out of 100. To use it in arithmetic, convert it to a decimal or fraction first.

Related: percent increase, ratio
percent increase

The amount something grows, divided by the original amount, then written as a percent. Always divide by the starting value, not the new one.

Related: percent, average
average (mean)

The sum of a set of values divided by how many values there are. It gives a single number representing the center of the data.

Related: median, percent increase
median

The middle value in a list of numbers arranged from least to greatest; with an even count, it is the mean of the two middle values. Unlike the average, it is not pulled by extreme values.

Related: average (mean)
variable

A letter or symbol standing for an unknown or changing number, such as x in 3x + 2 = 11. Solving for it means isolating it on one side of the equation.

Related: equation, exponent
equation

A mathematical statement that two expressions are equal, joined by an equals sign. Whatever you do to one side must also be done to the other.

Related: variable, inequality
inequality

A statement comparing two expressions that are not necessarily equal, using symbols like <, >, ≤, or ≥. Solving one works like an equation, except multiplying or dividing by a negative flips the sign.

Related: equation
exponent

A small raised number showing how many times the base is multiplied by itself, as in 2³ = 2 × 2 × 2. It is not the same as multiplying the base by the exponent.

Related: square root, variable
square root

A number that, when multiplied by itself, gives the original value; the square root of 49 is 7. Every positive number has two square roots, one positive and one negative.

Related: exponent
perimeter

The total distance around the outside of a flat shape, found by adding the lengths of all its sides. It is measured in linear units such as inches or meters.

Related: area, circumference
area

The amount of surface a flat shape covers, measured in square units. For a rectangle it equals length times width.

Related: perimeter, circumference
circumference

The distance around a circle, calculated as pi times the diameter. It is the circular counterpart of perimeter.

Related: perimeter, area
hypotenuse

The longest side of a right triangle, lying opposite the right angle. Its length squared equals the sum of the squares of the other two sides.

Related: square root
density

How much mass is packed into a given volume of a substance, often written as mass divided by volume. Denser objects sink in fluids less dense than themselves.

Related: mass, volume
mass

The amount of matter in an object, which stays the same regardless of location. It differs from weight, which changes with gravity.

Related: density, volume
volume

The amount of space an object or substance occupies, measured in cubic units or liters. For a rectangular box it is length times width times height.

Related: density, mass
photosynthesis

The process by which green plants use sunlight, water, and carbon dioxide to make sugar and release oxygen. Chlorophyll in leaves captures the light energy that drives it.

Related: evaporation
evaporation

The change of a liquid into a gas, which happens at the surface and speeds up with heat. It is part of the water cycle that returns moisture to the air.

Related: condensation
condensation

The change of a gas into a liquid as it cools, such as water droplets forming on a cold glass. It is the reverse of evaporation.

Related: evaporation
voltage

The electrical pressure that pushes current through a circuit, measured in volts. A higher voltage can drive more current through the same resistance.

Related: current, resistance
current

The flow of electric charge through a conductor, measured in amperes. It moves only when a complete path exists from the source and back.

Related: voltage, resistance
resistance

The opposition to the flow of electric current, measured in ohms. Higher resistance reduces current for a given voltage, and it produces heat as energy is lost.

Related: voltage, current
series circuit

A circuit in which components are connected in a single path, so the same current flows through each. If one part breaks, the whole circuit stops working.

Related: parallel circuit, current
parallel circuit

A circuit in which components are connected on separate branches, so each gets the full source voltage. If one branch fails, the others keep operating.

Related: series circuit, voltage
torque

A twisting force that tends to rotate an object, equal to force times the distance from the pivot. A longer wrench gives more torque for the same push.

Related: leverage, gear ratio
leverage

The mechanical advantage gained by using a lever, allowing a small force to move a larger load. It depends on the distances from the fulcrum to the effort and the load.

Related: torque, mechanical advantage
mechanical advantage

The factor by which a machine multiplies the force applied to it. A machine with an advantage of 4 lets a small effort lift a load four times heavier.

Related: leverage, gear ratio
gear ratio

The comparison of the number of teeth on two meshing gears, which sets how speed and torque trade off. A small gear driving a large one increases torque but slows rotation.

Related: torque, mechanical advantage
compression

A force that squeezes or shortens a material, as when a piston presses gas in a cylinder. It is the opposite of tension, which pulls material apart.

Related: torque
four-stroke cycle

The sequence of intake, compression, power, and exhaust strokes that a typical gasoline engine repeats. Each stroke moves the piston once up or down the cylinder.

Related: compression, coolant
coolant

A fluid that circulates through an engine to carry away excess heat and keep it from overheating. It absorbs heat at the engine and releases it through the radiator.

Related: four-stroke cycle, lubricant
lubricant

A substance such as oil that reduces friction between moving parts and carries away some heat. Regular changes keep an engine from wearing out prematurely.

Related: coolant, torque
fulcrum

The fixed pivot point on which a lever turns. Moving the load or effort farther from it changes how much force is needed to lift.

Related: leverage, mechanical advantage