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Multiplication of 7 and 8 equals 56 because adding 7 together 8 times gives 56. This basic arithmetic fact builds foundation for numerical fluency.

The correct plural form is 'children', an irregular plural in English. Recognizing such irregular forms is important in language arts.

The word 'joyful' means feeling or expressing great happiness and is therefore a synonym for 'happy'. This enhances vocabulary and understanding of language nuance.

Subtracting 5 from both sides of the equation x + 5 = 10 gives x = 5. This simple linear equation reinforces basic algebraic principles.

The letter 'E' follows 'D' in the English alphabet. Recognizing alphabetical order is a fundamental skill in language arts.

Dividing both sides by 3 gives x - 2 = 6, and adding 2 to both sides results in x = 8. This problem reinforces basic algebraic manipulation.

The numbers 2 and 3 multiply to 6 and add up to 5, so the expression factors into (x + 2)(x + 3). Factoring is a key skill for solving quadratic equations.

The main idea is the central message or primary argument in a text. Identifying it is essential for understanding the overall purpose of the passage.

An oxymoron combines two contradictory terms, and 'bittersweet' is a classic example. This question tests knowledge of literary devices.

Using the power rule, the derivative of 3x² is 6x. This tests a basic understanding of calculus and differentiation.

The sum of angles in any triangle is 180°. With angles of 90° and 30°, the remaining angle must be 60°. This reinforces knowledge of basic triangle properties.

A metaphor is a literary device that equates one thing with another to suggest a similarity, without using 'like' or 'as'. This understanding is crucial for literary analysis.

Subtracting 10 from both sides gives 5x = -10, and dividing by 5 results in x = -2. This supports the basic principle of solving linear equations.

When raising a product to a power, both the coefficient and the variable must be raised to that power: (2x³)² = 4x❶. This question tests exponent rules.

The sentence 'I had finished my homework before dinner' correctly employs the past perfect tense to indicate an action completed before another past event. This reinforces proper verb tense usage in writing.

Differentiate each term using the power rule: the derivative of 2x³ is 6x², of -3x² is -6x, of x is 1, and the constant -5 becomes 0. Thus, f'(x) equals 6x² - 6x + 1.

Substituting or adding the equations, one finds that x = 4 and y = 2 satisfy both equations. Solving systems of linear equations is a critical skill in algebra.

Parallel structure requires the use of parts of speech in the same form. 'Singing, dancing, and swimming' provides consistency and clarity, making it the correct choice.

Skimming the exam to identify and answer easier questions first helps secure marks and manage time effectively. This strategy is widely recommended by test-taking experts.

Foreshadowing is a technique used to hint at future events in the narrative without giving away too much detail. It builds suspense and prepares the reader for what is to come.