Mixed Deck — All SAT Topics Flashcards

Which modern states were part of the Northwest Territories?

Answer: Wisconsin, Michigan, Illinois, Indiana, and Ohio

The Northwest Territories, established by the Northwest Ordinance of 1787, encompassed a vast region north of the Ohio River and east of the Mississippi River. This land eventually formed the modern states of Ohio, Indiana, Illinois, Michigan, and Wisconsin. The ordinance provided a framework for the orderly expansion of the United States, including provisions for self-governance and the prohibition of slavery in the territory.

If f(x) = 2x^2 - 3, what is f(-2)?

Answer: 5

f(-2) = 2(4) - 3 = 8 - 3 = 5.

Parallel lines are cut by a transversal. Which pair of angles are always equal?

Answer: Alternate interior angles

When parallel lines are cut by a transversal, alternate interior angles are equal (congruent).

Which of the following is the correct solution to the inequality 3x - 5 > 10?

Answer: x > 5

To solve the inequality 3x - 5 > 10, first add 5 to both sides, which gives 3x > 15. Then, divide both sides by 3. Since we are dividing by a positive number, the inequality sign remains the same, resulting in x > 5.

What does the term 'circular reasoning' refer to?

Answer: Using the conclusion as one of the premises.

Circular reasoning, also known as "begging the question," is a logical fallacy where the argument's conclusion is already assumed or stated within one of its premises. Essentially, the argument uses itself to prove itself, offering no independent evidence or support for its claim, thus failing to provide genuine proof.

Steve is ordering new display cases for his store. Each case is 8 feet in length and extends from floor to ceiling. His store has 120 feet of wall space that includes 23 feet of windows along the walls. If the display cases cannot be moved in front of the windows, which of these inequalities includes all possible values of d, the number of display cases that could be used?

Answer: d120-23/8

The total usable wall space for display cases is the total wall space minus the window space: 120 feet - 23 feet = 97 feet. Each display case is 8 feet long. To find the maximum number of display cases (d) that can fit, divide the usable wall space by the length of one case: d ≤ 97 / 8. This simplifies to d ≤ 12.125. The inequality d < (120 - 23) / 8 correctly represents that the number of cases must be less than or equal to the total available length divided by the length per case.

Which of the following best defines the purpose of a counterargument in a persuasive essay?

Answer: To show the writer has considered opposing viewpoints and can address them effectively

Including and refuting a counterargument demonstrates critical thinking, strengthens the writer's credibility, and makes the overall argument more persuasive and intellectually honest.

Which option best combines the following two sentences? 'The library is open late. Students can study there in the evenings.'

Answer: All of the above are correct combinations.

Options A (using coordinating conjunction), B (using subordinating conjunction to show cause), and C (using semicolon for two related clauses) are all grammatically correct and meaningful combinations.

Solve x² = 25.

Answer: x = ±5

x² = 25 means x = √25 or x = -√25, so x = 5 or x = -5, written as x = ±5.

If a sequence is 3, 7, 11, 15, ..., what is the 10th term?

Answer: 39

The common difference is 4, so the 10th term is 3 + 9(4) = 39.

A bag has 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble?

Answer: 0.3

Total marbles = 5+3+2 = 10. P(blue) = 3/10 = 0.3.

Which sentence contains a correctly placed semicolon?

Answer: She went to the store; she bought groceries.

A semicolon is correctly used to join two independent clauses that are closely related in meaning but could stand alone as separate sentences. In option C, "She went to the store" and "she bought groceries" are both complete thoughts. The semicolon effectively connects them to show their close relationship without using a coordinating conjunction.

A recipe calls for 2.5 cups of flour for every 12 cookies. How many cups are needed for 48 cookies?

Answer: 10

Set up a proportion: 2.5/12 = x/48. Cross-multiply: 12x = 120. x = 10 cups.

A line of best fit is y = 2x + 3. What is the predicted y when x = 5?

Answer: 13

y = 2(5) + 3 = 10 + 3 = 13.

Which choice would most effectively weaken: 'Our city's recycling program works because trash is down 10%'?

Answer: A new landfill fee, not recycling, reduced trash

Identifying an alternative cause undermines the program's claimed effect.

Which sentence uses 'who' correctly? A. She is the student who I recommended. B. She is the student whom I recommended. C. She is the student who I recommended her. D. She is the student which I recommended.

Answer: Sentence B

'Whom' is used for the object of a verb. In this sentence, 'I recommended [her/whom]' — the student is the object, so 'whom' is correct.

If 6 - (2x + 1) = 3, what is x?

Answer: 1

Simplify: 6 - 2x - 1 = 3 → 5 - 2x = 3 → -2x = -2 → x = 1.

A science passage defines 'photosynthesis' as 'the process by which plants convert light energy into chemical energy.' The primary purpose of this sentence in the passage is to:

Answer: Provide background knowledge necessary for understanding the passage's main argument

Definitions provide foundational knowledge, establishing shared understanding of a concept before the author builds more complex arguments.

Choose the correct possessive form: "The ___ decision affected the whole team." (one coach)

Answer: coach's

A singular noun forms the possessive with apostrophe plus s.

The purpose of The Federalist Papers was to convince individuals to support the ratification of the

Answer: Constitution

The Federalist Papers were a series of 85 essays written by Alexander Hamilton, James Madison, and John Jay between 1787 and 1788. Their primary purpose was to advocate for the ratification of the newly drafted United States Constitution. These essays explained the proposed Constitution's structure, defended its principles, and addressed concerns about the balance of power and individual liberties, ultimately playing a significant role in convincing states to adopt it.