-
A chemical reaction is represented by a chemical equation that involves ions, atoms and molecular formulas. Use this resource to will learn about the main components of a chemical equation, and how to write and balance chemical equations. The main components of a chemical equation are: Reactants – the starting...
-
Solving algebraic equations involves finding the values of variables that satisfy mathematical statements. Build on your foundational understanding of algebra by tackling how to solve various types of equations, from linear to quadratic and beyond. Getting started Solving linear equations Use this resource to learn how to solve linear equations....
-
The quadratic formula provides a straightforward way to find the solutions of any quadratic equation, especially when factoring is difficult or impossible. By becoming familiar with this formula, you'll gain a reliable tool for solving quadratic equations and deepen your understanding of algebraic relationships. Solving quadratic equations The solutions to...
-
Do you feel confident about writing balanced equations for chemical reactions? Test yourself with a quiz. Your turn – chemical equations For questions 1—5, identify the reactants and products in the chemical equations. \(\ce{2H}_{2}+\ce{O}_{2}\rightarrow2\ce{H}_{2}\ce{O}\) \(\ce{CH}_{4}+2\ce{O}_{2}\rightarrow\ce{CO}_{2}+\ce{H}_{2}\ce{O}\) \(2\ce{Fe}_{2}\ce{O}_{3}+3\ce{C}\rightarrow4\ce{Fe}+3\ce{CO}_{2}\) \(\left(\ce{NH}_{4}\right)_{2}\ce{Cr}_{2}\ce{O}_{7}\rightarrow\ce{Cr}_{2}\ce{O}_{3}+4\ce{H}_{2}\ce{O}+\ce{N}_{2}\) \(\ce{CaCO}_{3}\rightarrow\ce{CaO}+\ce{CO}_{2}\) For questions 6—10, write balanced equations for the chemical reactions. Ammonia gas...
-
Learn how to solve cubic equations, where the highest power of the variable is three. These types of equations can model various real-world scenarios, from physics to engineering. The factor theorem The long division of polynomials is an important tool for solving cubic equations. However, the factor theorem is equally...
-
Exponential equations are common in fields such as science, finance, and population dynamics, where exponential growth or decay is observed. By learning how to isolate variables and find solutions to exponential equations, you will be able to handle a variety of real-world problems involving exponential relationships. Exponential equations Indicial (or...
-
Earlier, we looked at how to transpose formulas. Now, let's combine those skills with arithmetic to solve linear equations. By mastering the techniques for solving these equations, you'll be equipped to tackle a wide range of problems and build a strong basis for more advanced mathematical concepts. Video tutorial –...
-
Just as linear equations can be solved to find the value of an unknown variable, we can do the same with quadratic equations. Here, we will learn how to solve quadratic equations using the null factor law. By applying this principle, you can factorise quadratic equations and determine their solutions...
-
Delve into solving simultaneous equations, where a solution works for multiple equations. This skill is essential for analysing systems with multiple variables and is widely used in fields such as engineering, economics, and science. Simultaneous equations Simultaneous equations are equations that share variables and must be solved at the same...