Prime Number Tree Worksheet (Fun Practice & Examples)
Prime numbers are the building blocks of all natural numbers, as every number greater than 1 can be expressed as a product of prime numbers. A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself:$ p > 1 \text{ and } p \text{ has […]
The Binomial Theorem Color by Number Worksheet
The Binomial Theorem is a powerful tool in Algebra for expanding expressions of the form $ (a + b)^n $. It states that: ${(a + b)^n} = \sum\limits_{k = 0}^n {\left( \begin{array}{c} n\\ k \end{array} \right)} {a^{n – k}}{b^k}$ where $\left( \begin{array}{c} n\\ k \end{array} \right)$ is the binomial coefficient representing the number of ways […]
Complex Number Worksheet
Complex numbers are a fundamental concept in Algebra and higher-level mathematics, extending the idea of real numbers to include solutions to equations like $x^2 + 1 = 0$. A complex number is written in the form: $ z = a + bi $ where $a$ is the real part, $b$ is the imaginary part, and […]
Graphing Linear Inequalities
Graphing linear inequalities is a fundamental skill in Algebra that helps students visualize solution sets and understand how mathematical conditions form regions on the coordinate plane. Unlike linear equations that produce a single straight line, inequalities define an entire area of possible solutions — a key concept for problem-solving, modeling real-world situations, and preparing for […]
Worksheet on Parallel and Perpendicular Lines
Understanding parallel and perpendicular lines is a fundamental concept in Geometry, essential for analyzing angles, slopes, and coordinate plane relationships. Two lines are parallel if they have the same slope: $ m_1 = m_2 $and perpendicular if the product of their slopes is $-1$: $ m_1 \times m_2 = -1 $ This Worksheet on Parallel […]
Tetrahedron Worksheet (Free Practice & Examples)
Understanding the geometry of a tetrahedron is a key part of learning about three-dimensional shapes. A tetrahedron is a polyhedron with four triangular faces, and its volume and surface area can be calculated using the formulas:$ \text{Volume} , V = \frac{1}{3} \times \text{Base Area} , B \times \text{Height} , h $$ \text{Surface Area} , S […]
Percent of a Number Worksheet (Free Practice & Examples)
Calculating the percent of a number is an essential math skill with applications in everyday life, from shopping discounts to data analysis. The basic formula for finding a percent of a number is:$ \text{Percent of a Number} = \frac{\text{Percent}}{100} \times \text{Number} $Mastering this concept helps students solve problems accurately and understand how percentages relate to […]
Adding and Subtracting Binomials Worksheet
Adding and subtracting binomials is a fundamental skill in Algebra that helps students combine like terms and simplify expressions efficiently. When working with binomials such as $ (a + b) + (c + d) \quad \text{or} \quad (a + b) – (c + d), $ it is essential to correctly identify and combine like terms […]
Cube-of-a-Binomial-Worksheet
The ability to square a binomial plays an important role in many areas of Algebra, from simplifying expressions to preparing for quadratic functions and polynomial expansions. When you apply the pattern $ (a + b)^2 = a^2 + 2ab + b^2 $ you’re not just memorizing a formula — you’re learning how terms interact when […]
Square-of-Binomial Worksheet (Free Practice & Examples)
Squaring a binomial is an essential Algebra skill that helps students expand expressions, factor more effectively, and work confidently with quadratic equations. The pattern $ (a + b)^2 = a^2 + 2ab + b^2 $ is a foundational identity that allows learners to recognize structure and avoid common algebraic mistakes. In this section, you will […]