# SAT ## Reading and Writing ### Craft and Structure
:list-ul: You may be asked to... * Interpret the meaning of high‑utility words and phrases in context (words in context). * Choose the best word or phrase to maintain a passage’s tone and style. * Analyze how a sentence or paragraph is structured and how that structure contributes to meaning. * Identify a text’s purpose (to explain, argue, describe, etc.). * Determine the role of a sentence (introduce a claim, provide an example, counter an earlier point). * Determine the point of view or perspective and how it shapes the text. * Evaluate how an author’s choices (organization, emphasis, detail) affect readers. * Analyze relationships between two short, related texts (agreement/disagreement, cause/effect, support/contrast). * Compare how two texts treat the same topic or idea (cross‑text connections).
### Information and Ideas
:list-ul: You may be asked to... * Identify explicit central ideas or main points. * Determine key supporting details that best support a claim or main idea. * Summarize a passage or part of a passage. * Draw inferences from what is stated and select evidence that best supports an inference. * Distinguish between main ideas and minor details. * Interpret and use evidence from text (command of textual evidence). * Interpret tables, bar graphs, and line graphs tied to a brief passage (quantitative evidence). * Integrate information from text and an informational graphic. * Identify whether a piece of evidence supports, weakens, or is irrelevant to a claim. * Evaluate an argument’s use of evidence and reasoning (basic argument evaluation). * Identify relationships like cause/effect, comparison, or sequence in informational texts.
### Standard English Conventions You may be asked to edit sentences to follow core grammar, usage, and punctuation rules. View grammar here... {% content-ref url="broken-reference" %} [Broken link](https://rss-industries.gitbook.io/learn/test-preperation/broken-reference) {% endcontent-ref %} ### Expression of Ideas
:list-ul: You may be asked to... * Choose the sentence or phrase that best accomplishes a stated purpose (e.g., provide an example, clarify a claim). * Add, revise, or delete material to improve focus and avoid redundancy. * Improve the logical flow of ideas within or between sentences. * Select the best transition word or phrase between ideas, sentences, or short paragraphs. * Combine sentences for concision, clarity, and logical emphasis. * Improve coherence and organization in a short passage (order of sentences, avoiding abrupt shifts). * Integrate information from a small graphic where relevant to the rhetorical goal (in questions that reference data).
## Mathematics ### Algebra Linear relationships and equations.
:list-ul: You may be asked to... * Solve linear equations in one variable (including with fractions and variables on both sides). * Solve linear equations in two variables (find x or y for a given equation). * Interpret and manipulate linear functions written in different forms (slope‑intercept, point‑slope, standard). * Determine slope and intercepts from equations, graphs, or verbal descriptions. * Interpret slope and intercepts in context (rate of change, starting value). * Write linear equations to model word descriptions or data. * Solve systems of two linear equations in two variables (algebraically and graphically). * Interpret the meaning of solutions to systems (one solution, none, infinitely many; intersection in context). * Solve linear inequalities in one variable. * Represent linear inequalities in one or two variables on a number line or coordinate plane. * Interpret solutions of inequalities and systems of inequalities in context.
### Advanced Math Nonlinear equations and functions needed for higher‑level math.
:list-ul: You may be asked to... * **Equivalent expressions** * Simplify polynomial expressions (add, subtract, multiply). * Factor polynomials (common factor, trinomials, special products). * Manipulate rational expressions (simplify, identify restrictions). * Rewrite expressions involving exponents and radicals (including rational exponents). * Recognize when two expressions are algebraically equivalent. * **Nonlinear equations in one variable & systems in two variables** * Solve quadratic equations (factoring, completing the square, quadratic formula). * Interpret the discriminant to determine number of solutions. * Solve equations involving square roots, rational exponents, or absolute values. * Solve equations involving exponential expressions. * Solve systems that include at least one nonlinear equation (e.g., line + parabola). * **Nonlinear functions** * Interpret and analyze quadratic functions (vertex, axis of symmetry, zeros) from equations and graphs. * Interpret exponential functions (growth/decay rates, initial value) from equations and graphs. * Analyze polynomial functions more broadly (end behavior, zeros, multiplicity when given in simple forms). * Relate function graphs to equations and transformations (shifts, reflections, stretches/compressions) in basic cases. * Use function notation, evaluate functions, and interpret function values in context. * Understand and use absolute value functions (including V‑shaped graphs and piecewise interpretations).
### Problem-Solving and Data Analysis Quantitative reasoning, statistics, and probability.
:list-ul: You may be asked to... * **Ratios, rates, proportions, units** * Work with ratios and proportional relationships (including scaling). * Use unit rates (e.g., cost per item, miles per hour) and convert units when needed. * Set up and solve proportion equations. * Interpret and compare rates in tables, graphs, and word contexts. * **Percentages** * Compute percent increase and decrease. * Work with discounts, markups, taxes, and simple interest‑type situations (when they appear). * Find a part, whole, or percent given the other two. * Work with percentage points versus percent change. * **Data: one variable** * Interpret distributions shown in dotplots, histograms, and boxplots. * Identify and use measures of center (mean, median) and spread (range, interquartile range, standard deviation, when referenced). * Reason qualitatively about how changes in data affect measures of center and spread. * **Data: two variables** * Interpret scatterplots and identify trends (positive, negative, no association; linear vs nonlinear). * Use or compare lines of best fit (including using them to make predictions). * Interpret slope and intercepts of a regression line in context. * Work with two‑way tables and segmented bar graphs for bivariate categorical data (including relative frequencies). * **Probability** * Compute simple probabilities from descriptions, tables, or tree‑type setups. * Interpret conditional probability from two‑way tables or verbal descriptions. * Decide whether events are independent or dependent from context or data. * **Inference and statistical claims** * Interpret margin of error and what it implies for estimates. * Judge whether a sample is likely representative, given how it was chosen. * Distinguish observational studies from experiments. * Identify what conclusions (association vs causation) are appropriate from a given study design. * Evaluate whether a statistical claim is supported by the data description.
### Geometry and Trigonometry Core geometry plus right‑triangle trigonometry.
:list-ul: You may be asked to... * **Area and volume** * Use area formulas for polygons (especially triangles, rectangles, parallelograms, circles). * Use circumference and area formulas for circles. * Use volume formulas for right prisms, cylinders, pyramids, cones, and spheres when given or referenced on the formula sheet. * Relate units and dimensions when scaling shapes (effects on area and volume qualitatively). * **Lines, angles, triangles** * Use properties of parallel lines cut by a transversal (alternate interior, corresponding, vertical angles). * Use angle sum in a triangle and on a line. * Work with isosceles and equilateral triangle properties. * Use triangle congruence/similarity relationships in numeric, not proof‑heavy, contexts. * Set up proportions from similar triangles to find missing side lengths. * **Right triangles and trigonometry** * Apply the Pythagorean theorem and its converse. * Use basic trigonometric ratios (sine, cosine, tangent) in right‑triangle problems. * Relate trig ratios to side lengths to find missing sides or angles (in degree measure). * Interpret trigonometric information in simple applied contexts (heights, distances). * **Circles** * Use radius, diameter, circumference, and area relationships. * Work with central angles, arcs, and arc length. * Use sector area formulas when needed. * Use relationships involving inscribed angles and central angles in basic numeric problems. * Relate equations of circles in the coordinate plane to centers and radii in simple cases (when they appear).
## Additional Resources ### Prep Expert's SAT Strategies {% content-ref url="sat/general-sat-strategies" %} [general-sat-strategies](https://rss-industries.gitbook.io/learn/test-preperation/sat/general-sat-strategies) {% endcontent-ref %} {% content-ref url="sat/reading-sat-strategies" %} [reading-sat-strategies](https://rss-industries.gitbook.io/learn/test-preperation/sat/reading-sat-strategies) {% endcontent-ref %} {% content-ref url="sat/writing-sat-strategies" %} [writing-sat-strategies](https://rss-industries.gitbook.io/learn/test-preperation/sat/writing-sat-strategies) {% endcontent-ref %} {% content-ref url="sat/mathematics-sat-strategies" %} [mathematics-sat-strategies](https://rss-industries.gitbook.io/learn/test-preperation/sat/mathematics-sat-strategies) {% endcontent-ref %} ### Other Coming soon... *** {% hint style="danger" icon="trowel-bricks" %} This page is incomplete! {% endhint %}