📚 Grade 7 Maths Practice Workbook | 七年级数学练习册
Welcome to the Grade 7 Maths Practice Workbook. This bilingual guide is designed to help students build a strong foundation in core mathematical skills, including number operations, algebra, geometry, and data handling. Each section includes key ideas, worked examples, and practice prompts that match typical international Grade 7 curricula.
欢迎使用七年级数学练习册。本双语指南旨在帮助学生巩固核心数学技能，包括数的运算、代数、几何和数据处理。每节都包含关键概念、例题和练习提示，与典型国际七年级课程相匹配。
1. Integers and Rational Numbers | 整数与有理数
on and subtraction are fundamental: adding a negative number is the same as subtracting its positive counterpart, and subtracting a negative number is equivalent to adding. For example, −3 + 5 = 2 and −4 − 6 = −10.
在七年级，学生将整数扩展到负整数和有理数。有理数是可以写成 a/b 形式的任何数，其中 a 和 b 是整数且 b ≠ 0。数轴是比较和排序这些数的有用模型。加减法的符号规则是基础：加上一个负数等同于减去它的正数；减去一个负数等同于加上一个正数。例如，−3 + 5 = 2，−4 − 6 = −10。
tive = negative. The same holds for division. Remember that dividing by zero is undefined.
对于乘法和除法，符号规则为：正 × 正 = 正，负 × 负 = 正，正 × 负 = 负。除法同理。请记住，除以零是未定义的。
2. Fractions, Decimals and Percentages | 分数、小数与百分数
ator: 3/4 = 0.75. To convert to a percentage, multiply the decimal by 100: 0.75 × 100 = 75% minators, first find a common denominator. For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.
能够在分数、小数和百分数之间熟练转换是七年级的核心技能。将分数转换为小数，用分子除以分母：3/4 = 0.75。转换为百分数，将小数乘以100：0.75 × 100 = 75%。对于分母不同的分数加减法，首先要找到公分母。例如，1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2。
Common equivalents you should memorise include: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/5 = 0.2 = 20%, and 1/10 = 0.1 = 10% and decrease questions often appear in real-world contexts such as discounts and interest.
你应该记住的常见等价关系包括：1/2 = 0.5 = 50%，1/4 = 0.25 = 25%，3/4 = 0.75 = 75%，1/5 = 0.2 = 20%，以及 1/10 = 0.1 = 10%。百分数增加和减少问题经常出现在折扣和利息等实际情境中。
3. Algebraic Expressions | 代数式
property lets you expand expressions: a(b + c) = ab + ac. For example, 2(x + 3) = 2x + 6.
代数使用称为变量的字母来表示未知或变化的量。一个项是单个数字、变量或乘积，如 3x 或 7。同类项具有相同的变量部分，可以合并：3x + 5 − x + 2 化简为 2x + 7。分配律可用来展开表达式：a(b + c) = ab + ac。例如，2(x + 3) = 2x + 6。
ion, addition and subtraction). If a = 4 and b = 2, then 2a + 3b = 2×4 + 3×2 = 8 + 6 = 14.
要求代数式的值，将每个变量替换为给定的值，并遵循运算顺序（括号、指数、乘除、加减）。如果 a = 4，b = 2，那么 2a + 3b = 2×4 + 3×2 = 8 + 6 = 14。
3a + 2a = 5a and a(b + c) = ab + ac
4. Solving Linear Equations | 解一元一次方程
first subtract 3 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.
方程是表示两个表达式相等的语句。目标是找到使该语句成立的未知数的值。使用逆运算来分离变量，同时保持方程平衡。对于方程 2x + 3 = 11，首先两边减 3 得到 2x = 8，然后两边除以 2 得到 x = 4。
Always check your solution
Published by TutorHao | Mathematics Revision Series | aleveler.com
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