Mixed Deck — All PERT Topics Flashcards

What is summarizing?

Answer: Condensing to essential points

Summarizing involves condensing a larger text to its essential points and key information in a concise manner. The goal is to capture the core meaning and main ideas of the original material without including minor details or personal opinions. This skill demonstrates an understanding of the most critical aspects of a passage.

What is factoring?

Answer: Breaking into simpler multiplied terms

Factoring is the process of breaking down an expression or number into a product of its factors. For algebraic expressions, this means rewriting a polynomial as a product of simpler polynomials (e.g., x² + 5x + 6 = (x+2)(x+3)). This technique is essential for simplifying expressions, solving equations, and working with fractions.

Which sentence correctly uses a semicolon?

Answer: I studied hard; I passed the test.

A semicolon links two complete, related independent clauses without a conjunction.

What percentage of students who got a mark below 30 got a mark below 20?

Answer: 55%

This question requires data from a graph or table, which is not provided. However, to achieve the correct answer of 55%, we can infer the necessary data. If, for example, 55 students scored below 20 and a total of 100 students scored below 30, then the percentage of students below 30 who scored below 20 would be (55 / 100) * 100% = 55%.

Simplify the expression: (x³)(x⁴).

Answer: x⁷

When multiplying powers with the same base, add the exponents: 3 + 4 = 7.

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting. How high was the initial height of the shrub?

Answer: 3.2 inches

h =15 + 3.2t gives the height of a shrub in inches after t weeks. When planting occurs the height is 15 + 3.2× 0 = 15 inches. After one week the height is 15 + 3.2× 1 = 18.2 inches The rate at which the height increases is 18.2 - 15 = 3.2 inches

What is volume?

Answer: Amount of space in 3D

Volume is a fundamental measurement that quantifies the amount of three-dimensional space occupied by an object or substance. Unlike area, which is 2D, volume considers an object's length, width, and height. It is essential for understanding the capacity of containers or the size of solids and liquids.

Which sentence uses 'its' and 'it's' correctly?

Answer: It's a beautiful day, and the dog wagged its tail.

'It's' means 'it is,' and 'its' shows possession.

Which sentence uses correct capitalization?

Answer: We visited the Grand Canyon last summer.

Proper nouns are capitalized while seasons are not.

Which of these is true?

Answer: √(-9) is undefined

The symbol for square root is √. The square roots of negative numbers are undefined.

Two angles of a triangle measure 50° and 60°. What is the third angle?

Answer: 70°

The angles of a triangle sum to 180°, so 180° − 50° − 60° = 70°.

Three consecutive integers sum to 48. What is the largest one?

Answer: 17

Let the integers be n, n+1, n+2; 3n + 3 = 48 gives n = 15, so the largest is 17.

Choose the meaning of the underlined word: 'Her response was so VAGUE that no one understood what she meant.'

Answer: Unclear and imprecise

'Vague' means not clear, definite, or precise, making it hard to understand the speaker's intent.

Identify the sentence with a misplaced modifier.

Answer: Maria caught the bus running quickly down the street.

The modifier suggests the bus is running, so it is misplaced.

'This medicine must be safe because the doctor on TV said so.' This relies on:

Answer: Appeal to authority without evidence

Trusting a claim solely because an authority figure said it lacks real evidence.

Where should a thesis statement typically appear in a standard academic essay?

Answer: At the end of the introduction

A thesis usually appears at the end of the introduction to guide the rest of the essay.

Why is data interpretation important?

Answer: To make informed decisions

Data interpretation is crucial because it transforms raw data into actionable insights, enabling individuals and organizations to make well-founded decisions. By understanding the meaning and implications of data, one can identify problems, predict future trends, and develop effective strategies. This process moves beyond mere observation to strategic application of information, leading to better outcomes.

Simplify: 2(3x - 1) - (x + 4).

Answer: 5x - 6

6x - 2 - x - 4 = 5x - 6.

Which word best replaces 'aggravate' without changing the sentence's meaning: 'Loud noise tends to aggravate her headaches.'?

Answer: Worsen

'Aggravate' means to make something worse, so 'worsen' is the closest synonym in this context.

What is the mean of the data set 4, 8, 10, 14, 14?

Answer: 10

The sum is 50 and there are 5 values, so the mean is 50/5 = 10.