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act数学练习题含答案解析（六）

2023-08-24 15:02:00来源：网络整理

　　为了帮助大家备考ACT，新东方在线ACT频道整理了act数学练习题含答案解析（六），希望对大家有所帮助，更多精彩尽请关注新东方在线act频道!　

　　1. A rectangular lot that measures 150 ft by 200 ft is completely fenced. What is the approximate length, in feet, of the

　　fence?

　　F. 300

　　G. 350

　　H. 400

　　J. 700

　　K. 1,400

　　解析：The correct answer is J. To find the length of fence needed to fence a rectangular lot 150 ft by 200 ft, you need

　　to find the perimeter. The formula for the perimeter of a rectangle is 2 times the sum of the length and width, or P = 2( l+

　　w). 2(150 +200) =2(350) =700.

　　正确答案选J。所需篱笆的长度即为这块长150英尺宽200英尺矩形⼟地的周长。根据矩形周长公式，可知：矩形周长

　　=2(长+宽)，即2(150 +200) =2(350) =700英尺。

　　2. So far, a student has earned the following scores on four 100-point tests this grading period:65,73,81, and 82. What

　　score must the student earn on the fifth and last 100-point test of the grading period to earn an average test grade of 80

　　for the 5 tests?

　　A. 75

　　B. 76

　　C. 78

　　D. 99

　　E. The student cannot earn an average of 80.

　　解析：The correct answer is D. To find what the student needs to score on the fifth 100-point test to average a score of

　　80, you need to find the point total for the student so far by adding 65,73, 81 and 82. That sum is 301. Averaging 80

　　points on 5 tests means the student must earn 400 points (80·5). The acore needed on the last test is the

　　difference,400～301, or 99.

　　正确答案选D。该学⽣前四次共得301分;5次考试平均分为80，意味着5次考试总分需达到400分，那么该学⽣最后⼀次

　　考试需要达到的分数为400与301的差，即99分。

　　3. Mr. Dietz is a teacher whose salary is $22,570 for this school year, which has 185 days. In Mr. Dietz's school district,

　　substitute teachers are paid $80 per day. If Mr. Dietz's takes a day off without pay and a substitute teacher is paid to

　　teach Mr. Dietz's classes, how much less does the school district pay in salary by paying a substitute teacher instead

　　of paying Mr. Dietz's for that day?

　　F. $ 42G. $ 80

　　H. $ 97

　　J. $105

　　K. $122

　　解析：The correct answer is F. To find Mr. Dietz's pay per day, you can divide his salary, $22,570, by the number of

　　days he works,185. His pay per day is 22570/185, or $122. When Mr. Dietz takes a day off without pay and the school

　　pays a subsititute $80, the school district saves the difference in these amounts, 122-80, or $42.

　　正确答案选F。先算出Dietz先⽣每天的平均⼯资，⽤22570除以185(可⽤计算器)，即122美元。再⽤122美元减去学校

　　需要⽀付临时⽼师的费⽤80美元，即可算出学校结余的费⽤，为42美元。

　　4. 3x3·2x2y·4x2y is equivalent to:

　　A. 9x7y2

　　B. 9x12y2

　　C. 24x7y2

　　D. 24x12y

　　E. 24x12y2

　　解析：The correct answer is C. To find an equivalent expression, you can multiply the constants (3·2·4), combine the x

　　term (x3x2x2 → x3+2+2 → x7, because when you have a common base you use the base and add the exponents), and

　　combine the y terms (y·y → y1y1 → y1+1 → y2). The result is 24x7y2.

　　正确答案选C。常数相乘(3·2·4)，合并x项(x3x2x2 → x3+2+2 → x7) 和y项(y·y → y1y1 → y1+1→ y2)，结果为24x7y2。

　　以上就是关于“act数学练习题含答案解析（六）”的内容，如果同学们还需要更多act备考资料，可添加下方助老师微信免费获取美本考试资料大礼包!

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