ACT study materials
ACT study resources

ACT flashcards

ACT · Build recall with a focused review session.

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

Comma splice
Two independent clauses joined only by a comma. Fix with a period, semicolon, or a comma plus coordinating conjunction.
Dangling modifier
An introductory descriptive phrase whose intended noun is missing or misplaced, so the phrase appears to describe the wrong subject.
Essential vs. nonessential clause
An essential clause identifies the noun and takes no commas; a nonessential clause adds extra information and is set off by commas.
Subject-verb agreement rule
The verb must match the true subject, ignoring intervening prepositional phrases. Singular indefinite pronouns such as each and everyone take singular verbs.
Colon use
A colon follows a complete independent clause and introduces an explanation, list, or example. It never separates a verb from its object.
Transition logic categories
Contrast transitions signal opposition (however), cause-effect transitions signal results (therefore), and addition transitions signal continuation (moreover).
Slope formula
Slope equals the change in y divided by the change in x between two points: m = (y2 − y1)/(x2 − x1).
Quadratic formula
x = [−b ± √(b² − 4ac)]/(2a) solves ax² + bx + c = 0 for any quadratic equation with real or complex roots.
Discriminant
The value b² − 4ac. Positive gives two real solutions, zero gives one, and negative gives no real solutions.
Circle equation
(x − h)² + (y − k)² = r² describes a circle with center (h, k) and radius r on the coordinate plane.
Average speed
Average speed equals total distance divided by total time, not the arithmetic mean of the separate speeds traveled.
Exponential growth formula
y = a(1 + r)^t models growth where a is the starting amount, r the rate per period, and t the number of periods.
Arithmetic sequence term
The nth term equals a₁ + (n − 1)d, where a₁ is the first term and d is the constant common difference.
Perpendicular slopes
Two lines are perpendicular when their slopes are negative reciprocals, so the product of the slopes equals −1.
Logarithm product rule
The log of a product equals the sum of the logs: log(ab) = log a + log b, valid for positive a and b.
Main idea definition
The main idea combines the passage topic with the author's central point and must account for the entire passage, not one detail.
Inference question rule
The correct answer must be logically forced by stated evidence. A plausible idea the passage does not support is incorrect.
Vocabulary in context
Substitute each answer choice into the original sentence and select the meaning that fits the surrounding logic and tone.
Function question
A function question asks why a sentence or paragraph exists - to illustrate, contrast, define, or transition - not what it literally says.
Paired passage strategy
First determine whether the two passages agree, disagree, or qualify each other, then evaluate which evidence choice supports that relationship.
Extreme language trap
Answer choices with always, never, all, or none are usually wrong unless the passage itself states that absolute claim.
Independent variable
The variable the researcher deliberately manipulates or changes in an experiment; it is plotted on the x-axis of a graph.
Dependent variable
The variable measured as a result of changes to the independent variable; it is plotted on the y-axis of a graph.
Controlled variable
A factor held constant across all trials so that it cannot explain differences in the dependent variable.
Validity vs. reliability
Validity means the experiment measures what it claims; reliability means repeated trials produce consistent, reproducible results.
Density formula
Density equals mass divided by volume (D = m/V), commonly expressed in grams per cubic centimeter or per milliliter.
Correlation vs. causation
Correlation means two variables change together; causation requires a controlled experiment that isolates the variable and rules out confounds.
Viewpoint conflict question
Identify each scientist's claim and cited evidence, then locate the specific point where the claims diverge or conflict.
ACT essay scoring
The optional essay is scored 2–12 across four domains: Ideas and Analysis, Development and Support, Organization, and Language Use and Conventions.
Three perspectives task
The prompt gives an issue and three perspectives; a top essay analyzes all three and develops a nuanced position engaging them.
Ideas and Analysis domain
This essay score rewards a precise thesis and evaluation of relationships, assumptions, and implications among the given perspectives.
Development and Support domain
This essay score rewards specific, relevant examples and reasoning rather than vague or generalized assertions about the issue.
Body paragraph structure
State a claim, supply concrete evidence, then explain how that evidence supports the thesis and connects to the next point.