ACT 数学与评估 - 算术与统计

在这里，你将学习一些与算术和统计相关的英语单词，如“估计”、“中位数”、“可整除”等，这些将帮助你顺利通过ACT考试。

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$ACT 数学与评估$

integer [名词]

整数

Ex: In programming , integers are commonly used for counting and indexing .

在编程中，整数通常用于计数和索引。

$fraction$

fraction [名词]

分数

Ex: He added the fractions 2/3 and 1/4 to get 11/12 .

他将分数 2/3 和 1/4 相加得到 11/12。

decimal [名词]

小数

Ex:

学生将分数3/5转换为小数以使计算更容易。

mean [名词]

平均数

Ex: If the mean of a set of numbers is 10 , their average value is 10 .

如果一组数字的平均值是10，那么它们的平均值是10。

average [形容词]

平均

Ex: The average age of the employees in the company is 35 years old .

公司员工的平均年龄是35岁。

mixed number [名词]

带分数

Ex: To convert a mixed number to an improper fraction , we multiply the whole number part by the denominator and add the numerator .

要将带分数转换为假分数，我们将整数部分乘以分母并加上分子。

prime number [名词]

质数

Ex: Cryptography relies on the properties of prime numbers for secure encryption .

密码学依赖于素数的特性进行安全加密。

rational number [名词]

有理数

Ex: 3/4 is a rational number because it can be written as a fraction of two integers .

3/4是一个有理数，因为它可以写成两个整数的分数。

irrational number [名词]

无理数

Ex: The square root of 2 is an irrational number .

2的平方根是一个无理数。

complex number [名词]

复数

Ex: Multiplying a complex number by its conjugate results in a real number .

将一个复数与其共轭复数相乘会得到一个实数。

real number [名词]

实数

Ex: Negative numbers , like -3 , are also real numbers .

负数，如-3，也是实数。

whole number [名词]

整数

Ex: Whole numbers do not include negative numbers or fractions .

整数不包括负数或分数。

root [名词]

根

Ex:

负数可以有虚根，例如-1的平方根是i。

range [名词]

范围

Ex: The range of the temperatures for the week was 25 degrees , with a high of 80 and a low of 55 .

本周温度的范围是25度，最高80度，最低55度。

solution [名词]

解决方案

Ex: The students worked together to find the solution to the challenging word problem .

学生们一起努力找到了这个具有挑战性的文字问题的解决方案。

product [名词]

乘积

Ex: The product of 3 and 4 is 12 .

3和4的积是12。

factor [名词]

因数

Ex: The prime factors of 12 are 2 and 3 , as 12 can be divided by both 2 and 3 .

12的质因数是2和3，因为12可以被2和3整除。

value [名词]

值

Ex: The value of a variable can change depending on the context of the problem being solved .

变量的值可以根据所解决问题的上下文而改变。

inequality [名词]

不等式

Ex: To solve the inequality 3x+2<10 , we isolate the variable x by subtracting 2 from both sides and then dividing by 3 .

为了解决不等式3x+2<10，我们通过两边减去2然后除以3来隔离变量x。

equation [名词]

方程

Ex: The physicist derived an equation to describe the relationship between energy and mass .

物理学家推导出了一个方程来描述能量和质量之间的关系。

minimum [形容词]

最小的

Ex: He received the minimum score needed to pass the exam .

他获得了通过考试所需的最低分数。

exponential [名词]

指数

Ex:

指数的图形随着变量的增长而迅速增加。

arithmetic sequence [名词]

等差数列

Ex: Arithmetic sequences are commonly used in finance to model situations where there is a constant increase or decrease in value over time .

算术序列常用于金融领域，以模拟价值随时间恒定增加或减少的情况。

divisible [形容词]

可分的

to square [动词]

平方

Ex: If you square 3 , you get 3 × 3 , which equals 9 .

如果你将3平方，你会得到3 × 3，等于9。

$improper fraction$

improper fraction [名词]

假分数

Ex: To compare improper fractions , you can convert them to decimal form .

要比较假分数，您可以将它们转换为小数形式。

quotient [名词]

商

Ex: The quotient of 20 and 5 is 4 , as 20 divided by 5 equals 4 .

20和5的商是4，因为20除以5等于4。

common ratio [名词]

公比

Ex: The common ratio of a geometric sequence can be negative , indicating alternating signs between consecutive terms .

几何序列的公比可以是负的，表示连续项之间的符号交替。

common multiple [名词]

公倍数

Ex: To find a common multiple of 6 and 8 , you can list their multiples and identify the smallest one they share .

要找到6和8的公倍数，你可以列出它们的倍数并确定它们共享的最小倍数。

common factor [名词]

公因数

Ex: The numbers 8 and 12 have common factors of 1 , 2 , and 4 .

数字8和12有1、2和4这些公约数。

common denominator [名词]

公分母

least common denominator [名词]

最小公分母

Ex: Finding the least common denominator is a crucial step in solving problems that involve multiple fractions .

找到最小公分母是解决涉及多个分数问题的关键步骤。

probability [名词]

概率

Ex: The probability of rolling a six on a fair die is one-sixth .

在公平的骰子上掷出六的概率是六分之一。

median [名词]

中位数

Ex: For the data set { 3 , 6 , 8 , 12 , 15 , 19 } , the median is 10 , the average of the two middle values 8 and 12 .

对于数据集{3, 6, 8, 12, 15, 19}，中位数是10，即两个中间值8和12的平均值。

mode [名词]

众数

bimodal [形容词]

双峰的

Ex: In a bimodal climate , there are typically two distinct rainy seasons .

在双峰气候中，通常有两个不同的雨季。

to estimate [动词]

估计

Ex: Can you estimate the cost of the groceries we need for the week ?

你能估计一下我们这周需要的食品杂货的费用吗？

frequency [名词]

频率

Ex: In a survey , the frequency of respondents who preferred chocolate ice cream was 40 out of 100 .

在一项调查中，喜欢巧克力冰淇淋的受访者频率为100人中的40人。

distribution [名词]

(statistics) an arrangement of values of a variable showing how often each occurs, either observed or theoretical

Ex: Researchers studied the distribution of rainfall over the year .

standard deviation [名词]

标准差

Ex: The standard deviation of test scores showed that most students scored around the average .

测试分数的标准差显示大多数学生的分数在平均值附近。

margin of error [名词]

误差范围

Ex: When calculating the survey 's margin of error , the researchers considered the sample size and variability .

在计算调查的误差范围时，研究人员考虑了样本量和变异性。

random [形容词]

随机的

Ex:

随机变量X代表抛硬币三次时获得的正面次数。

trend line [名词]

趋势线

Ex: By plotting a trend line through the sales data , the company could forecast future performance .

通过在销售数据中绘制趋势线，公司可以预测未来的表现。

dot plot [名词]

点图

Ex: By examining the dot plot , we could quickly identify the mode of the data set .

通过检查点图，我们可以快速识别数据集的众数。

linear model [名词]

线性模型

Ex: Economists use linear models to predict consumer spending based on factors such as income and interest rates .

经济学家使用线性模型根据收入和利率等因素预测消费者支出。

ACT 数学与评估
数学	算术与统计	Geometry	数量和部分词
Economics	时间与顺序	行动过程	奖学金与创新
包含与分类	Comparison	Importance	Praise
评估与批评	Change	Status	物品管理