DOUBLE800 SAT & PSAT Prep Course

Master SAT and PSAT math by learning problem-solving and grid-in questions, the three-section timing, and reasoning-based strategies across algebra 1, algebra 2, and geometry.

Master the picking numbers technique to substitute concrete values for variable problems, follow condition rules, use small distinct numbers, and boost SAT and PSAT performance.

Apply the picking numbers strategy to official city study guide questions, replace abstract variables with concrete values, and verify solutions using quick calculations and a calculator.

Master the picked numbers approach and must-be-true reasoning to solve algebra questions, including x > 1 with y = x + 1/x and a 75-women problem.

Back-solving teaches solving problems backward by using answer choices to test values, starting with the middle option, and using it early to verify the right answer.

Learn grid-ins on the SAT and PSAT, including independently filling the grid, back-solving, and understanding raw and scaled scoring with the quarter-point penalty for guessing.

Explore remainders and multiples through back-solving and choosing values to solve PSAT-style problems. Build intuition by analyzing how remainders behave with different multiples and how to pick values efficiently.

Master the mean concept by turning averages into totals—multiply the average by the number of items. Distinguish between sum and average to solve SAT questions efficiently.

Master median and mode in data sets, including when the median is the middle term or its average. Count consecutive numbers with difference plus one, using inclusive counting in problems.

learn to find median of consecutive numbers from a sum by using the average, then determine the middle term for odd counts and the two middle terms for even counts.

Explore how to compute the sum of consecutive numbers by counting terms, identifying the median, and using symmetry and reflection to handle positive and negative starts.

Discover a shortcut for separate equation problems on the SAT and PSAT by using the difference of two squares and substitution to save time.

Explore the three types of percentage problems on the sat and psat, including start-to-end changes and end-as-percentage-of-start scenarios. Apply concise steps for calculations with increases, decreases, and unknown starting values.

Learn efficient ratio techniques for SAT/PSAT, treating ratios as parts over total, expanding to a given total, and using cross-multiplication and unit conversion to extrapolate.

Explore core probability concepts, including counting outcomes, independent events, and multiplying probabilities, with practical examples like traffic light cycles and fair coin flips to sharpen reading and problem-solving skills.

Learn how combination problems use digits and non-digits, with examples like four-digit codes and three-digit integers, including restrictions, distinct digits, and pool-based selections.

Explore symbolism questions common on the SAT and PSAT, using substitution and stepwise evaluation. Practice converting symbolic definitions to numeric form and solving one side at a time for accuracy.

Explore sequence and pattern questions, apply a two-step method from given rules, identify repeating patterns, and use examples like multiples of five and averages of preceding terms for this course.

Explore prime numbers, factors and divisors, and determine the greatest prime factor, then apply data analysis with graphs and xy coordinates to interpret per-year trends in PSAT-style practice questions.

Master core math concepts from Venn diagrams to absolute value, number lines, and solving systems of equations, with guided practice problems to reinforce each concept.

Review geometry's role in the math section and learn to regularize shapes into three basic forms. Master circle concepts, radius and circumference, sector areas, and key right-triangle patterns like 3-4-5.

Explore geometry review through special right triangles (45-45-90, 30-60-90), perimeter strategies for irregular shapes by splitting, and three-dimensional concepts like cube and cylinder volume, surface area, and center-to-vertex distances.

Review parallel lines and transversal angle relationships. Solve geometry problems on triangles, slope, distance, and area, including special shapes.

Master geometry problem solving with practical techniques for perimeters, triangles, special triangles, area and sector calculations, and circle concepts using radius, circumference, and pi.

Review geometry problems by drawing diagrams, apply 30-60-90 and 3-4-5 triangles, use the diameter to determine the radius for circle area, and solve distance and length questions with Pythagorean theorem.

Master exponent rules for same-base multiplication and division, including negative exponents, and learn to re-express terms to a common base. Practice evaluating functions by substitution and solving simple functional equations.

Explore linear and quadratic equations, including slope-intercept form y = mx + b, determining slope, y-intercept, and x-intercept, plus reflections about the x-axis and basic parabola behavior.

Learn to read and analyze graphs of functions by tracing x coordinates to find y values, interpret left-right shifts, and apply horizontal and vertical shifts to f(x).

Practice test 1 to gauge progress, simulate exam conditions, time yourself, and review solutions to master averages, algebra, and geometry in the SAT and PSAT math sections.

Review algebraic shortcuts to solve 3x^2 = 12 and practice geometry problems involving circles, radii, and tangents, while analyzing evenly spaced tick marks on a number line.

Review remainder problems and sequence rules from test 1, including q11-14 on page 399, then apply graphs and algebra to solve.

Solve practice questions on slope and linear relations, using origin passes, absolute value comparisons, and algebraic manipulation; analyze 45-45-90 triangles, midpoints, and area of the shaded region.

In this math review, we solve for the height of a pyramid using right triangles and the Pythagorean theorem, with a 45-45-90 check, and practice a percent commission problem.

Practice solving a range of math test questions, including counting problems, supplementary angles, triangle sums, and inscribed circle area with radius one (pi/4).

Explore converting lines to slope-intercept form, find perpendicular slopes via negative reciprocals, and explore reflections across the x-axis, then apply triangle inequality and a vote total problem.

Review of math test 1 covers simplifying square roots, rounding decimals to the nearest integer and tenth, interpreting probability via ratios, and solving arithmetic sequences with constant differences.

Develop skills in solving absolute value equations, digit-based logic, and geometric reasoning, including two equal sides and equilateral triangles, plus basic function composition with g(x) for zeros.

Review the math test problems from pages 419–420, questions 1–5, covering geometry, substitution, and coordinate plane challenges, including square area and oldest-child logic.

Practice with SAT math using test 1 questions 6–10, covering parallelograms and parallel lines with angle sums, average problems with equation setup, exponent rules, function maxima, and solving equations.

Demonstrate problem-solving for math test 1, covering cube surface area and volume, number line reasoning, medians, color combinations, and interpreting a quadratic function.

Review of math test 2 problems (pp. 452–453, q1–5) covering sequences, ratio, graph questions, central angles, square rotation by 90 degrees, with raw and scale score tips.

Engage in this math review solving linear and quadratic problems from page 454 q6–9, including word problem for 4x, area calculation totaling 28, and (x−2)^2=25 with a negative x constraint.

Explore similar triangles and parallel lines to solve ratio and scale-factor problems, and apply median, mode, and intersection reasoning in diagrams.

Cover this math review of test two questions 14–17, highlighting substitution and symbol handling, solving one side at a time, and analyzing the absolute-value graph of a linear equation.

Advance your math review for test 2 by solving questions 18-20 on page 447, including a cylinder containment problem and a system of equations.

This math review covers six straightforward questions from test 2 (pages 463–464), focusing on algebra, averages, ratios, decimals, and basic number properties.

Explore how changing a parabola’s coefficient widens the graph, review left shifts with f(x+4), and solve practice problems on nine-digit combinations and parallel-line angle relationships (x=45, y=135).

This math review for test 2 on page 467 covers questions 11–14, including a 4x4 base box vs cd case height, algebraic solving, average profits, and a function inequality.

Explore ratio and taken problems from a candy jar, define the trifecta of three consecutive integers, analyze a stepwise phone cost, and relate area to perimeter in ten squares.

Practice test 2 math review covers fractions, right-triangle hypotenuse comparisons, a linear equation, a two-step word problem with Molly and Charlie, and an angle-bisector measure.

Practice solving quick math problems from the test 2 review, including odd integers, coordinate geometry, bead probability, graph reflections, and systems of equations.

Review test 2 questions 12–16, showing infinite inscribed-rectangle possibilities in a circle, apply value-picking for algebra, and solve percentage, triangle, and perimeter problems on a gameboard.

Review test 3 math concepts by solving equations, computing probabilities, interpreting a pie chart, and applying supplementary angles to find x, y, z.

Explore how to solve averages, create totals, and apply ratio and Venn diagram reasoning in math tests. Learn strategies for allocating remaining spots to reach a target total.

Tackle test 3 questions 14-17, including level 3-4 problems with two conditions on t and k, function evaluation, and circle area reasoning, using shortcut strategies.

Learn to count lines from six points by treating it as a combinations problem and using two solution methods, then verify function properties and solve a rope area problem.

This lesson covers calculating averages, interpreting a tangent circle with radius 6, writing a cost expression with a $1 flat fee plus 0.10 per copy, and solving 45-45-90 triangle area.

Develop methods for inversely proportional and 1/x^2 relationships using squaring and inversion, and count triangles from diagonals in an octagon; solve equations true for all x by selecting simple values.

Sharpen test 3 math review skills with ratio problems, circle radius concepts, and coordinate substitution. Analyze data on male vs female counts and solve 5x = x + 5.

Solve test 3, page 530, questions 15–18, covering geometry with angle bisectors and segment measures. Explore a k-times sequence, a repeating pattern, and a parabola with area 64.

Master quick problem solving across proportions, cross-multiplication, and basic data interpretation, then apply square-root squaring and fractional reasoning to time and age graphs.

This math review covers test 3 questions 6–11, solving geometry concepts, absolute value inequalities, scale of right triangles, ratios, slope perpendicularity, and determining k from an identity.

Finish the math review by solving qs 12–16: zero-sum with distinct integers, coin combos to 17, a y-doubling graph, a negative-two sequence, and cube inscribed in a sphere (diameter 2√3).

Discover how critical reading drives SAT and PSAT success, mastering sentence completions, reading passages, and inference, tone, and vocabulary strategies for verbal reasoning.

Learn critical reading sentence completions, master vocabulary, and develop strategies to identify key words and contrasts, boosting efficiency on SAT critical reading questions.

Explore a batch of sentence completions, predict answers, and strengthen vocabulary, word choice, and grammar awareness to boost SAT/PSAT critical reading skills.

Develop critical reading skills in sentence completions and vocabulary, distinguishing purported humanitarian claims from self-serving actions, and mastering words like purport, putative, disparaging, contempt, censure, and amalgamation.

Build critical reading skills through sentence completions, focusing on keywords like misconception and sociable, and exploring related choices such as substantiate, undermine, and empathy to boost vocabulary.

Explore SAT-style critical reading with sentence completions, practicing context clues and vocabulary choices—from entourage and zealous to abstruse and lucid—through part 5 of the series.

Explore sentence completions and vocabulary mastery by analyzing prosaic and quotidien meanings, plus words like denounce, instrumental, and refine to narrow down promising material.

Master critical reading concepts for short reading passages, sentence completions, and reading passage questions on sat and psat, including independent and dual passages, main idea, inference, and restated language strategies.

Continue reviewing short reading passages with two independent passages and four questions, practicing main idea, purpose, analogy, and inference; explore Moraga's translation challenge and Space Odyssey 2001 interfaces vs today’s.

Master short passages, including dual passages on the same subject, by identifying the main idea as subject plus descriptive part and tackling tone, vocabulary, and inference questions.

Learn to tackle four long passages in critical reading—three independent and one dual—distinguish nonfiction from fiction, and apply main idea, inference, and vocabulary in context strategies.

Practice critical reading of long nonfiction passages by identifying the main idea, descriptive parts, and inference questions about women’s rights during the revolutionary war.

Analyze a long independent nonfiction reading passage on bats, debunking phobia and highlighting vampire bats' usefulness and the psychology of fear, with test-focused insights.

Learn to approach long fiction passages with no main theme by reading them in full, noting first-person narration, dialogue, and emotional tone, then use irony and attitude to answer questions.

Master the long duel reading passages by treating each passage independently, identifying the main theme from the final sentence, and answering questions separately before comparing the two passages.

Master critical reading with independent analysis of long passages, focusing on passage two about 19th-century middle-class women travelers and Victorian era constraints.

Explore critical reading strategies through test 1 on page 390, practicing vocabulary like foresight, capricious, visceral, and ossify, while learning how sentence completions reveal meaning and tone.

Continue the critical reading review for test one, focusing on identifying main themes, subjects, and descriptive imagery, and solving questions 6–15 about Hale-Bopp, Augusta Ada King, and heritage.

Explore critical reading strategies for test one, focusing on Mona Lisa passages one and two, and analyze how popularity stems from technique, inner appeal, and historical context.

Practice critical reading with sentence completions from test one, section 5, page 402, tackling questions 1–8 and vocabulary clues like hospitable, equivocate, nascent, and derivative to sharpen test-taking skills.

Review critical reading test 1 passages about Thoreau and Walden, comparing anti industrialization with enthusiasm for machines and nature.

Analyze a long nonfiction passage arguing that cities are not natural, using urban ecology to compare cities with beavers and forests and to reveal natural laws governing urban systems.

Master critical reading with test 1, p.425, q.1–6, focusing on sentence completion and vocabulary in context. Recognize elliptical versus direct writing and terms like esoteric, abstruse, and deafening, currency.

Explore a long fiction passage about a niece and her guardian, analyzing dialogue, motives, and contrasts between romance and practicality across questions 7–19 for SAT and PSAT critical reading.

Review critical reading by analyzing sentence completions from test 2 (p. 458, q's 1–8), honing vocabulary, context clues, and the correct use of synonyms and antonyms.

Develop critical reading skills by analyzing a short dual passage and identifying the main theme. Compare two authors on vacant land and its use for resources, and vocabulary questions.

Explore a 1970 fiction passage through critical reading, gauging tone, sarcasm, and vocabulary while mastering didactic and ironic cues for test questions 13–25.

This critical reading review trains you on vocabulary and sentence completions, teaching elimination, keyword clues, and recognizing opposites with terms like preclude, discerning, inclusive, and unequivocal.

Develop critical reading skills with short passages on the black freedom movement, slang and vocabulary durability, and Venus astronomy, focusing on main themes, purposes, and inferences.

Analyze a memoir excerpt in a critical reading review, exploring identity and disillusionment through vivid imagery of a girl moving from Puerto Rico to Brooklyn.

Practice critical reading with sentence completion and vocabulary questions from test 2, p. 487, q1–6, using terms like misnomer, precursor, stringent, divisive, bucolic, and deceit.

Analyze how the critique of comic books frames their role in children's learning and stress relief, guiding independent and comparative questions on a two-passage critical reading test.

Enhance critical reading for the Double800 sat & psat prep course with a review of test 3 questions, mastering sentence completions and vocabulary including cosmopolitan, extend, ousted, placid, clairvoyant, discriminating.

Analyze two opposing journalism passages in critical reading test 3, exploring reform, distrust, sensationalism, and journalism's first obligation to the truth.

Practice critical reading with a nonfiction sleep research passage on yawning and sleepiness. Identify the main idea, descriptive details, and inference questions while citing line evidence for SAT/PSAT prep.

Sharpen critical reading skills with a focused review of test 3's five sentence completions, and study vocabulary like scrutinize, catalyze, bereft, anomaly, and tacit.

Explores critical reading of multiple passages, analyzing poetry development through drawing and writing, the World War II impact on Chinese-American women, and shopkeepers' attitudes in 1870s industrial London.

Develop critical reading skills for paired passages by comparing Clovis and Monte Verde theories, exploring sea routes vs land barriers, and practicing questions 15–24.

Practice six sentence-completion questions from critical reading test three, focusing on paradoxically, contrast, and vocabulary like authoritarian, totalitarian, dispel, hubris, filial, and cacophony.

Review a long nonfiction memoir about a girl's childhood in 1960s chicago, focusing on theme, tone, and external vs internal details through SAT/PSAT questions 7–19.

Discover the SAT and PSAT writing components, including the essay and multiple-choice questions, and how scoring works. Learn the rules of grammar and practice strategies to excel.

Master identifying sentence errors in PSAT writing by learning subject-verb agreement rules, handling prepositional phrases, and distinguishing singular and plural subjects.

Learn how the conjunction and links two items, governs subject-verb agreement, and signals correct usage in identifying errors and improving sentences.

Identify sentence errors by mastering pronoun rules - singular and plural subjective case, its vs it's, possessives, and who vs which - through targeted SAT and PSAT practice.

Identify objective case pronouns and apply rules for use as objects after verbs and after prepositions. Contrast with subjective case pronouns such as I, he, and we with practical examples.

Master identifying sentence errors by focusing on verb tense consistency, infinitive forms, and avoiding -ing endings, with examples of two-level past tense usage.

Master identifying sentence errors by examining idiomatic prepositions, correlative conjunctions, and parallel structure. Use practical strategies and trusted instincts to choose correct forms in writing.

Analyze common SAT sentence errors by studying adverbs and ly endings, pronoun shift, parallel structure, number/subject-verb agreement, and ambiguous pronouns, with tips on counting no-error questions.

Master run-on sentence rules and comma splices, and learn how to cure them with coordinating and subordinating conjunctions for SAT and PSAT writing questions.

Learn to cure run-on sentences by using coordinating and subordinating conjunctions, proper punctuation with semicolons, or a conjunctive adverb, and by managing dependent clauses and introductory phrases.

Master parallel structure by keeping two items in the same form and using coordinating conjunctions like and, or, but, with concise active-voice language for the identify the air section.

Enhance sentence precision for the sat and psat by studying parallel structure, comma rules, introductory clauses, and active voice through practice questions.

Review improving sentence questions and work through section 10 to reinforce appositive usage and other grammar rules. Apply parallel structure, pronoun use, correlative conjunctions, and other SAT-style rules.

Master the final writing questions on the sat and psat by improving paragraphs, fixing run-ons and ambiguous pronouns, and handling organization and context questions with active-voice strategies.

Learn how the sat score allocates 70 percent to writing and 30 percent to the essay, emphasizing content, evidence, and a persuasive argument from an abstract prompt.

Learn a four-paragraph essay blueprint for sat and psat. State your position in the intro, build two evidence-rich body paragraphs with detailed storytelling, and restate your stance in the conclusion.

Review writing test 1 essay format with a four paragraph structure, focusing on answering whether questioning authority matters, using a model essay and clear intro, expansion, and conclusion.

Enhance SAT writing skills by practicing test 1 sentence questions, focusing on parallel structure, active voice, and fixing comma splices from the review.

Review writing test one, questions 12-29, and identify common grammar errors in verb tense, infinitives, adjectives and adverbs, prepositions, idioms, and comparisons for the sat and psat prep course.

Master writing test strategies for SAT/PSAT, focusing on paragraph improvement, organization and context questions, and grammar revisions using castle passages and related examples.

Review of writing test 1, questions 1–14 from pages 429–431, focusing on parallel structure, dependent clauses, pronoun clarity, and subject-verb agreement.

Review how to craft a substantiated essay for writing test two, using a model essay and No Child Left Behind context to argue community and national responsibility.

Master the long writing multiple-choice section with focused practice on parallel structure, introductory clauses, active voice, and verb tense, including appositive usage and infinitives, for the SAT and PSAT.

This lesson guides you through correcting grammar and usage in questions 12–29 from sat & psat prep course, covering tense consistency, parallel structure, subject-verb agreement, idioms, prepositions, and pronoun clarity.

Continue exploring writing tests in the long multiple-choice section, focusing on paragraph improvement, context, and content. Learn strategies for grammar, word choice, and detecting paragraph contrasts and main themes.

Sharpen writing review skills for test 2 by analyzing 14 practice questions on sentence improvement, appositive use, parallel structure, introductory clauses, active vs passive voice, and idiomatic phrases.

Explore writing test theory and essay structure, weighing knowledge as a burden versus a benefit, with Galileo as a key example.

Explore writing test theory and improve sentence questions in the long multiple choice section. Identify introductory clauses, semicolons, parallel structure, and modifying phrases through examples.

Continue your writing skills review with test 3 questions 12–29, reinforcing rules on parallel structure, possessives, number agreement, correlative conjunctions, and redundancy with guided corrections.

Practice writing review questions from test 3 (pp. 535-536), focusing on grammar, sentence revision, paragraph organization, and crafting effective conclusions with Seeds of Peace as context.

Boost your Double800 sat & psat prep with a writing review of questions 1–14, mastering active voice, parallel structure, punctuation, appositive usage, and correlative conjunctions.