ACT考试数学必做模拟题及解析（五）

>>2019年ACT考试：ACT考试数学必做模拟题及解析（五）

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1. 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

答案：F

解析：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。

2. 3x3.2x2y.4x2y is equivalent to:

A. 9x7y2

B. 9x12y2

C. 24x7y2

D. 24x12y

E. 24x12y2

答案：C

解析：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。

3. 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.

答案：D

解析：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。

4. 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

答案：J

解析：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。

5. The expression a[b+(c-d)] is equivalent to:

A. ab + ac - ad

B. ab + ac + ad

C. ab + ac - d

D. ab + c + d

E. ab + c - d

答案：A

解析：要找到等价的表达式，请将a乘以b + c-d。 这导致(b)+ a(c)+ a(-d)或ab + ac-ad。

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