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TSIA2 · MathematicsAlgebraic Reasoning
Solve for x: 4x + 7 = 31.
- A. 6 — Correct: 6 satisfies the equation because 4(6)+7=31.
- B. 8 — 8 makes the left side 39.
- C. 9 — 9 makes the left side 43.
- D. 4 — 4 would make 4x + 7 equal 23, not 31.
Explanation: Subtract 7 from both sides: 4x = 31 − 7 = 24. Divide both sides by 4: x = 6. Check: 4(6) + 7 = 31.
Strategy: Undo addition or subtraction first, then undo multiplication or division.
TSIA2 · ELARMain Idea
"Community gardens can transform unused city lots into productive spaces. In addition to providing fresh produce, they can create places where neighbors meet, share knowledge, and work together. Some gardens also offer workshops on nutrition and sustainable growing practices."
Which choice best states the main idea of the passage?
- A. Community gardens are difficult to maintain. — The passage does not focus on maintenance difficulty.
- B. Community gardens can provide food and strengthen communities. — Correct: this choice captures both food production and community benefits.
- C. City lots should only be used for housing. — The passage does not argue that lots should only be used for housing.
- D. Nutrition workshops are the main purpose of every community garden. — Workshops are mentioned as one possible benefit, not the sole purpose.
Explanation: The passage emphasizes several benefits of community gardens, including fresh produce, social connection, and learning opportunities.
Strategy: Choose the answer that covers the whole passage, not just one detail.
Digital SAT · Reading & WritingInformation & Ideas
"Researchers studying urban trees found that neighborhoods with greater tree-canopy coverage were often several degrees cooler during summer afternoons than nearby neighborhoods with less shade."
Which choice best states the main idea of the passage?
- A. Urban trees can help reduce neighborhood heat. — Correct: this captures the central finding.
- B. Trees grow faster in cities than in forests. — Growth rate is not discussed.
- C. Summer temperatures are identical across neighborhoods. — The passage says temperatures differed.
- D. Researchers studied only rural areas. — The research described urban neighborhoods.
Explanation: The passage directly connects greater tree-canopy coverage with cooler summer temperatures.
Strategy: Choose the option that summarizes the passage's central claim rather than a minor or invented detail.
Digital SAT · MathAlgebra
If 5x − 9 = 26, what is the value of x?
- A. 5 — 5 gives 16.
- B. 7 — Correct: 7 satisfies the equation.
- C. 17 — 17 is too large.
- D. 35 — 35 is 5x before division.
Explanation: Add 9 to both sides: 5x = 26 + 9 = 35. Divide both sides by 5: x = 7. Check: 5(7) − 9 = 26.
Strategy: Isolate the variable using inverse operations.
ACT · EnglishGrammar & Usage
Choose the best revision: "Each of the players have a locker."
- A. Each of the players has a locker. — Correct: "has" is correct.
- B. Each of the players having a locker. — "Having" does not form a complete predicate.
- C. Each of the players were having a locker. — "Were having" is plural and awkward.
- D. Each of the players have a locker. — "Have" does not agree with singular "Each."
Explanation: The subject "Each" is singular, so the singular verb "has" is required.
Strategy: Agreement follows the grammatical subject, not the nearest plural noun.
ACT · MathGeometry
A triangle has base 10 and height 6. What is its area?
- A. 30 — Correct.
- B. 60 — Omits the one-half factor.
- C. 120 — Doubles incorrectly.
- D. 16 — Unrelated to the area formula.
Explanation: Triangle area = 1/2 × base × height = 1/2 × 10 × 6 = 30.
Strategy: Remember the one-half factor in the triangle area formula.
ACT · ReadingMain Idea
"For decades, the old railway station stood unused. A local nonprofit later restored the building, converting its waiting room into a public reading space and its ticket office into a small museum about the town's transportation history."
What is the main idea?
- A. The museum focuses on agriculture. — The museum concerns transportation.
- B. The station was demolished. — The station was restored, not demolished.
- C. An unused station was restored for community use. — Correct: this captures the passage.
- D. The town built a new airport. — No airport is mentioned.
Explanation: The passage centers on the restoration and new community uses of the old station.
Strategy: State what the entire passage is mainly about.
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ACT Writing Lab
Practice developing a clear position on a complex issue, considering multiple perspectives, organizing reasoning, and revising your writing. This is independent practice, not an official ACT Writing score.
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Ideas & AnalysisDevelop a clear position and engage meaningfully with the issue and perspectives.
Development & SupportExplain reasoning with relevant examples and sufficient detail.
OrganizationUse purposeful sequencing, paragraphing, and transitions.
Language Use & ConventionsUse clear, controlled sentences and standard written English.
Important: ACT Writing is optional in the current enhanced ACT structure and is reported separately — it is not part of the ACT Composite score. This lab is only for students who choose or need to practice the optional writing component.
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TSI Essay Lab
Use this lab to practice planning, drafting, revising, and self-checking an academic position essay. Feedback here is for learning and is not an official TSIA2 essay score.
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Sentence Variety & StyleAre sentences clear and varied rather than repetitive in length and structure?
Mechanical ConventionsGrammar, usage, punctuation, and other surface-level writing conventions.
Critical ThinkingDoes the essay engage with a counterargument or alternate viewpoint?
Revision goal: after completing the first draft, revise at least one paragraph for stronger evidence and one sentence for clearer structure. Practice improvement comes from revision, not only from writing more drafts.
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