國際學校數(shù)學期中測試卷

1、I ChOiCe questions (20 POintS )1. If the POIynOmial r4 -3x+4 in X has a degree Of 2 With three terms,the n equals ()A. 3B. 4C. 5D. 62. In the following CalCUIatiOnS the COrreCt One is ().b4 b4=2bA B.a-4+x4=x8 C. (-a2b)5 = -a2b5 D. 3-(X-Y) = 4-x3. In the following equations, the One WhOSe transformat

2、ion from Ieft Sideto right Side is factorization is ()A. 4-4b2=(2" + 2b)(2-2?) B. (x + 2)? =F+4r + 4C. (d-%)' =a2 -2ab + b2D. Cr + + l = (c + l) + l4. In the following expressiOnS the One Where a PerfeCt SqUare formulacan be applied to CalCUlate is ()A. (2x + y)(2x + y)B. (2x一 y)(2x + y)C.

3、(-2x _ y)(-2x + y)D. (2x _ y)(-2x - y)5. If Onefactor of -16y2 is X-y, the Other factor is ()A. x-yB. x + yC. x-4y D x + 4y6. In the following CalCUIatiOnS the COrreCt One is ()A. 3x2 + 2 =5 B. 22 + 3x2 = 5x2 C. 2x2 + 3x2 = 54 D. 2x2 + 3x3 = 6x57. If the PrOdUCt Of the POlynOmials 5x+4 Qnd 5x-a does

4、 not COntaina term Of x, then the ValUe of a is ()A. 3B. -3C. 4D-48. If the VaIUe Of the algebraic expression 3a1 一4“ + 1 is 6, then the VaIUeOf 6-8d + 5is()A. 17B. 15C. 20D 259. In the following statements, the incorrect One is ()2A. The COeffiCient Of -is -24B. 7j is a monomial With degree 3C. Ix3

5、-Ixy2 + y3 is a POlynOmial Of degree 3 With three termsD. O is a monOmiel10. When factorizing the POlynOmial 5x2y + 0xy2-5xy , the COmmOnfactor to extracted is ()A. 5xB. 5yC. 5x2y2D. 5xyII FiII in the blanks (20 POintS)2. USe an algebraic expression to represent "the SqUare Of the SUrn Of 3 tim

6、es Xand y":2. Arrange the POlynOmial 5xy3 -6y4 +x3y-4x2 in descending POWerS Ofy：3. CalCUIate:二4. CalCUlate: x(5x-3)=5. CalCUlate： (x-2)(x + 5)=6. FaCtOriZe : x-16y2=7. The difference Of SqUareS formula:8. The PerfeCt SqUare formula:(M=(心)2 = 9 If 7 + 丄=3 , (/W + )2= , (2 _ )2 =InmInIIL ShOrt a

7、nswer questions ( 40 POintS )1. CalCUIate:( + 3) 一(d + 2)(-2)(3)(-4f)2+(-23)36/(X 一 2)(X + 7) (3 x)(2 + x)2. FaCtOriZe :(1) 6-12+18/(2) 7(x 3) + 4(3 x)(4) 36-4x4(5) -X2 +16y2(6) 3-疔 +27(G-ZoHl QUeStiOnS that require SOlUtiOnS (20 POintS)1 GiVen A = 235+8x+6 and 討+4+, find the EUeofA-2B and the ValUe Of A+B2. GiVen x+y = 2 end y = , find the ValUe Of the algebraic expressiOn (x2+i+l).3. GiVen 2 -8x+y2-16y + 8