2018年ACT数学练习题(3)
- 2018-05-30
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今天课窝小编为大家准备了ACT数学真题练习,希望能够对你有所帮助,顺利通过2018年的ACT考试,早日实现自己的留学梦!

1. 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。
2. 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. $ 42
G. $ 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。
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