实作范例 · 教师
以旧代数试卷为基础，制作全新练习卷
一位代数 I 老师上传了去年 6 月的 Regents 试卷，要求出一份针对相同技能的练习卷。 为每道书面作答题编写了新的情境和新的数字，重新绘制了对应的图形，核对了每个答案，并交回一份 Word 文件。老师要求降低难度后，它在同一份试卷上修改，并加上了解题步骤。
1阅读旧试卷的第 25 题
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below.
- y
Hours Tutoring→ Hours Delivering- x
Hours Babysitting→ Hours Stocking
- 依照真实试卷复制而成11 道题逐项技能、逐项分值重新改写，每份答案在交付前都已核对。
- 图形按新题重新绘制3 张坐标图按新的坐标轴标签和刻度重新绘制，直接放进 Word 文件，不用你自己动手画。
- 一份可以不断调整的试卷“改得更简单些”在原卷上直接修改了同样的 11 道题，并加上了解题步骤。同一场对话，第二份文件。
01 · 请求 1
复制了十一道书面作答题
Make me a new practice paper from Parts II, III and IV of this (Q25-35). Same topics and same credit values, but change the numbers and contexts so the kids can't google the answers. Keep the 'show your work' instructions.
阅读试卷，并根据第二至第四部分编写
一份 28 页的 PDF。老师只要书面作答的部分，所以新试卷保留了它们的结构：六道 2 分题、四道 4 分题和一道 6 分题，每题都有“写出解题过程”的提示行。
- Part II6 × [2]
- Part III4 × [4]
- Part IV1 × [6]
为每道旧题编写了新题
技能相同、分值相同，但情境和数字都不同。试卷第 25 题问的是高二和高三学生对视频和音乐的偏好；练习卷第 1 题问的是跑步者对晨跑和晚跑的偏好，同样需要填写双向表。
试卷第 25 题
新试卷第 1 题
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
标出的是所有改动之处。表格、分值和“写出解题过程”提示行均沿用试卷原样。 交付前已核对每个答案
每道新题都附有答案，之后再用第二轮从头解出全部十一道题并相互比对。对这份试卷的核对报告引用在右侧。第 1 题的答案就是填好的表格。
All 11 keys correct, answerable, on-topic, no duplicates.
答案，第 1 题
Men Women Total Morning Runs 45 47 92 Evening Runs 37 21 58 Total 82 68 150 为新情境重新绘制了图形
十一道题中有三道需要坐标图。新情境意味着新的坐标轴标签，所以每张坐标图都按各自的题目重新绘制，并放进 Word 文件。最后一题把看护孩子和辅导功课换成了整理货架和送杂货；0 到 20 的刻度保持不变。
试卷第 35 题
新试卷第 11 题
- y 轴
Hours Tutoring→ Hours Delivering- x 轴
Hours Babysitting→ Hours Stocking
第 5 题：直线的坐标轴
第 7 题：f(x) 与 g(x) 的坐标图
02 · 请求 2
要求更简单的版本， 修改了同一份试卷
Good. Now make that same paper a bit easier for my support class - smaller whole numbers, fewer steps where you can - and add an answer key with worked solutions at the end.
十一道题中有十道把数字改小了
试卷是在原卷上直接修改的，并没有重新编写：情境、各部分、分值和“写出解题过程”提示行都保留。第 7 题维持原样，因为其中的函数本来就很简单。
- Q1
150 runners→3068 women→1492 morning→1845 men→10 - Q2
6(2 − y) > −10y − 4→3(2 − y) > y − 10 - Q4
−14, _, _, 7→2, _, _, 11 - Q11
$10 / $15 an hour→$6 / $8at least $180→$8018 hours→14 hours
- Q1
为每道题编写了解题步骤
第一份试卷的答案只有最终结果。更简单的试卷在末尾为每道题附上逐步解题过程，并按新数字重新计算，方便辅导班的学生自行核对作答。
更简单试卷的第 2 题
Solve the inequality for : . Show all work to receive full credit.
请求 1：答案
.
请求 2：解题步骤
- Distribute: .
- Add to both sides: .
- Add 10: .
- Divide by 4: , so .
03 · 每一道题
查看全部十一道题，新旧对照
每张卡片先展示试卷上印出的原题，再展示请求 1 得到的新题及答案，以及请求 2 得到的新题及解题步骤。可滑动或使用箭头切换。
试卷第 25 题
请求 1：新数字
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | |||
| Evening Runs | |||
| Total |
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | 45 | 47 | 92 |
| Evening Runs | 37 | 21 | 58 |
| Total | 82 | 68 | 150 |
请求 2：更简单，附带解题步骤
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 30 runners surveyed, 14 were women. Of the 18 runners who preferred morning runs, 10 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | |||
| Evening Runs | |||
| Total |
详细解答
Morning–Men 10, Morning–Women 8, Morning Total 18; Evening–Men 6, Evening–Women 6, Evening Total 12; Men Total 16, Women Total 14, Grand Total 30.
- Of the 18 morning runners, 10 were men, so morning women = 18 − 10 = 8.
- Total women = 14, so evening women = 14 − 8 = 6.
- Total runners = 30, so evening runners = 30 − 18 = 12, and evening men = 12 − 6 = 6.
- Men total = 10 + 6 = 16; check 16 + 14 = 30. ✓
文件
文件来源： NYSED Regents Examinations, Algebra I, 2025 年 6 月试卷，版权归纽约州教育厅所有。本页引用的节选仅用于与 的成果作比较。
带上你自己的试卷
上传一份往年试卷，说明你的需求。 会针对相同技能编写新题、重新绘制图形、核对答案，还会按你的要求不断调整同一份试卷：更简单、更难，或附上解题步骤。
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