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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...
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Not sure what a linear equation is? Don't know where to start with quadratic or simultaneous equations? The links on this page will take you to resources that will help to fill any gaps in your knowledge. ES1 Linear equations Equations with one variable may be solved using transposition skills...
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Equations with one variable may be solved using transposition skills to make the variable the subject of the equation. A linear equation has one unknown variable and may be solved by transposing the equation to make the variable the subject of the equation. For example, the equation \[\begin{align*} 3\left(2x-7\right) &...
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Two equations in two variables are said to be simultaneous if both must be considered at the same time. Two equations in two variables are said to be simultaneous if both must be considered at the same time. An ordered pair \(\left(x,y\right)\) which satisfies both equations is said to be...
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The general form of a quadratic equation is A X squared plus B X plus C equals zero where A is not equal to one. This tip sheet looks at solutions to quadratic equations using the “null factor law”. General form A equation can be rearranged to the form: \(ax^{2}+bx+c=0\)...
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The solutions to any quadratic equation can be found by substituting the values a, b, c into the quadratic formula. The solutions to any quadratic equation \(ax^{2}+bx+c=0\) can be found by substituting the values \(a,b,c\) into the quadratic formula: \[ x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}. \] Solutions may be real or complex numbers. In...
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Indicial (or exponential) equations have the form ax = b. If we can write b as a number with a base a and an index, then we can equate the indices to find x. If two equal numbers are written to the same base then the indices must be equal....
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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...
