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### Common Prealgebra Skills

Prealgebra is a foundational math course that prepares students for more advanced algebraic concepts. The skills students work on in prealgebra serve as building blocks for future mathematical success. Here are five of the most common prealgebra skills that students typically work on, along with examples of each:

**Understanding Number Properties and Operations** – Understanding the commutative property of addition, which states that changing the order of numbers being added does not affect the sum.

Example – 5 + 3 = 3 + 5, both equal 8.

**Working with Fractions** – Adding fractions with like denominators.

Example – 1/4 + 3/4 = 4/4 = 1 (The common denominator is 4, and the sum is expressed in simplest form).

**Solving Basic Equations** – Solving for x in a simple linear equation.

Example – 2x – 7 = 11

Solution – Add 7 to both sides to isolate the variable – 2x = 18, then divide by 2 to find x – x = 9.

**Understanding and Using Integers** – Multiplying positive and negative integers.

Example – (-3) × 4 = -12 (Multiplying a negative and a positive integer results in a negative product).

**Graphing on the Coordinate Plane** – Plotting points on a coordinate plane.

Example – Plot the point (2, 3) on a coordinate plane by moving 2 units to the right along the x-axis and 3 units up along the y-axis, marking the intersection as (2, 3).

These skills lay the foundation for more advanced mathematical concepts in algebra and beyond. Prealgebra serves as an important transition point where students solidify their understanding of fundamental mathematical principles and prepare to tackle more complex topics in mathematics.