Daily Practice Questions

Explanation: Quantity B is 6. Quantity A is the greatest number of consecutive nonnegative integers (starting from 0) whose sum is less than 22. The sum of the first n nonnegative integers (0 through n−1) is S = (n−1)n/2. Solve (n−1)n/2 < 22 → n(n−1) < 44. Try n=7: 7×6=42 < 44 → sum = 21 < 22. n=8: 8×7=56 > 44 → sum = 28 ≥ 22. So max n=7. Since Quantity A = 7 > Quantity B = 6, the correct answer should be A — but the existing answer is B, indicating a mismatch.

Explanation: The word "breaking" in the phrase "breaking point" refers to a threshold where a change occurs, so "Separating" best fits the context of marsupials dividing Australia into distinct ecological zones by dominating everywhere except aquatic habitats. Choices like "Flouting" or "Categorizing" do not convey this sense of division or transition, and while "Eliminating" suggests removal rather than the specific spatial separation implied by the text, it is less precise in describing how the landscape was partitioned. The underlying concept here is understanding context clues to determine that the marsupials' rise created a boundary separating different environments.

Explanation: D —The first step is to determine the complete electron configuration of aluminum, which is 1s ^{2} 2s ^{2} 2p ^{6} 3s ^{2} 3p ^{1} .

Explanation: The changes in the answer choices identify apostrophes as the topic. Use POE heavily with apostrophes: eliminate all the answers that are wrong. If you just try to fix it in your head and find a match, you'll likely miss something. Wheels don't "possess" anything in this sentence, so eliminate (F) and (H). The wheels belong to the taxi, so an apostrophe is needed on that word. Eliminate (F), and (J) is the correct answer.

Explanation: Even this early in the passage, because the audience is likely to be aware of the speaker’s state of mind, the sentence contributes another dimension to his self-portrait.

Explanation: The correct answer is (A) "If" because the transition must introduce a conditional clause that logically leads to the student's conclusion or next step in their research process. Options (B), (C), and (D) fail here: "While" suggests a simultaneous action rather than a condition, while "Because" and "Since" incorrectly imply that the preceding notes are the direct cause of the upcoming statement. The SAT Reading-Writing section often tests your ability to identify logical relationships, specifically distinguishing between conditions ("if"), causes ("because"), and contrasts ("although").