📚 Collecting Like Terms | 合并同类项
In IGCSE Maths, simplifying algebraic expressions is a fundamental skill. One of the first and most important tools you will use is collecting like terms. Once you can identify and combine like terms confidently, solving equations, expanding brackets and rearranging formulae become much easier.
在 IGCSE 数学中,化简代数式是一项基本技能。你首先要掌握的最重要工具之一就是合并同类项。一旦你能自信地识别并合并同类项,解方程、去括号和变换公式都会变得容易得多。
1. What Are Terms in Algebra? | 什么是代数中的项?
An algebraic expression is made up of terms separated by plus or minus signs. A term can be a number, a variable, or a product of numbers and variables. For example, in the expression 3x + 2y − 5, the terms are 3x, 2y and −5.
代数表达式由项组成,项与项之间用加号或减号分隔。项可以是数字、变量,或数字与变量的乘积。例如,在表达式 3x + 2y − 5 中,项是 3x、2y 和 −5。
The coefficient is the number part of a term, while the variable part is the letter or letters with their powers. In 3x, the coefficient is 3 and the variable part is x. A constant term such as −5 has no variable part.
系数是项中的数字部分,字母部分则是字母及其幂。在 3x 中,系数是 3,字母部分是 x。像 −5 这样的常数项没有字母部分。
2. Like Terms and Unlike Terms | 同类项与不同类项
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