Dividing both sides of the equation by 2 gives x = 5. This basic algebra problem reinforces simple equation solving skills.

Every triangle has interior angles that add up to 180 degrees. This fundamental geometric fact is essential for high school-level geometry.

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create food. This key concept in biology is taught from middle to high school.

The sequence increases by 2 with each term, so after 8 the next number is 10. This problem assesses basic pattern recognition and arithmetic progression.

Gravity is the natural force that attracts objects toward the center of the Earth. This concept is fundamental in understanding the basics of physics.

By adding 7 to both sides of the equation, we get 3y = 18. Dividing both sides by 3 results in y = 6, reinforcing basic algebraic manipulation.

A chord is defined as a line segment with both endpoints on the circle. This term is a fundamental component of circle geometry.

Sodium's chemical symbol is Na, derived from its Latin name 'Natrium'. This fact is a basic necessity in high school chemistry studies.

Inertia is the property that causes objects to resist changes in their state of motion. This idea is a core principle in Newtonian physics explored in high school.

The area of a rectangle is calculated by multiplying the length by the width. Thus, 10 cm multiplied by 4 cm equals 40 cm², reinforcing geometry fundamentals.

The pattern increases by adding 2, then 3, then 4 to the alphabetical positions of the letters. Adding 5 to J (the 10th letter) gives the 15th letter, O.

The Declaration of Independence is the historic document that announced the American colonies' break from British rule. It is a fundamental document in United States history.

The theme of a literary work is its underlying message or central idea that is often implied rather than directly stated. Recognizing the theme is crucial for deep literary analysis.

A six-sided die has two outcomes (5 and 6) that are greater than 4, which gives a probability of 2/6, simplifying to 1/3. This problem reinforces basic probability calculation.

An algorithm is a set of step-by-step instructions used to solve problems and is fundamental to programming. Understanding algorithms is critical for developing effective computer programs.

Begin by distributing to get 2x + 3x - 6 = 4x + 1, which simplifies to 5x - 6 = 4x + 1. Subtracting 4x and then adding 6 to both sides results in x = 7.

Using the Pythagorean theorem, the hypotenuse is determined by √(6² + 8²) = √(36 + 64) = √100, which equals 10. This is a classic application of right triangle geometry.

The number 19 is the next prime number after 17 because it has no positive divisors other than 1 and itself. Recognizing prime numbers is an essential concept in number theory.

Since every member of P is also a member of Q and some of Q are R, it is possible that the subset of P overlaps with R. This exercise tests logical reasoning and the understanding of set relationships.

First, calculate the unit price by dividing $15 by 5, which gives $3 per notebook. Multiplying $3 by 8 notebooks results in a total cost of $24, demonstrating proportional reasoning.