1、Structure in expressions1. 42(20k)7Which of the following is equivalent to the above expression?A. 42 (20+k)7B. 42 (20k) -7C. 20k427D. (4220k) -7 Correct Answer: C Difficult Level: 22. (5j2k)3+(3)Which of the following is equivalent to the above expression?A. (3)+(125k3j6)B. (3)+(5j2k3)C. (125k3j6)+
2、(3)D. (5j2k3)+(3)Correct Answer: A Difficult Level: 23. (4s2t)3+(p3)Which of the following is equivalent to the above expression?A. (43s23t3)+(p3)B. (p3)+(4s2t3)C. (12s2t)+(p3)D. (p3)+(64s6t3)Correct Answer: D Difficult Level: 24. x2-16（x-3）（x+6）(x+a)(a-x)x2+cx-18=-1Given the equation above, what is
3、 the value ofc?Correct Answer: 3 Difficult Level: 25. A3+B3=(C+8y)(D40xy+E)A partial factorization of a sum of cubes is given above. Which of the following is equivalent to A+B?A. 13xyB. 20x+2yC. 2.5x+8yD. 5x+8yCorrect Answer: D Difficult Level: 26. (x-y6)(x-y12)Which of the following is equivalent
4、to the above expression for xy?A. 2B.12C. x-y2D. (x-y)272Correct Answer: A Difficult Level: 27. (n6k14)5Which of the following is equivalent to the above expression?A. (n2k5)3B. (n3)10(k2)7C. (n15k35)2D. (n5)5(k10)7Correct Answer: C Difficult Level: 28. abc+defWhich of the following is equivalent to
5、 the above expression?A.abc+dfeB. abc+defC. bca+dfeD. bca+defCorrect Answer: A Difficult Level: 29. The expression (x2+h2)(x2h2)can be written as (1+mp)x4mpwhereh,m,p, andbare constants. What is one possible value ofm?A. 1B. hC. h2D. h4Correct Answer: C Difficult Level: 210. (a+b+c)(abc)Which of the
6、 following is equivalent to the above expression?A. a(b+c)(a+b)cB. a2(b+c)(a+b)c2C. a2(b+c)2D. (a+b)2c2 Correct Answer: C Difficult Level: 311. (3a+b)3(a+b)Which of the following is equivalent to the above expression for ab?A. 1B. 9C. 1a2+b2D. 1a2+2ab+b2 Correct Answer: D Difficult Level: 312. abxyi
7、jmnWhich of the following is equivalent to the above expression?A. (ax)(im)(by)(jn)B. a(bm)nx(yi)jC. (ab)(ij)(xy)(mn)D. a(bx)yi(jm)n Correct Answer: B Difficult Level: 313. (a+b+c)2Which of the following is equivalent to the above expression?A. a2+b2+c2+2(ab+bc+ca)B. a2+b2+c2C. a2+2abc+c2D. a2+2ab+b
8、2+2bc+c2 Correct Answer: A Difficult Level: 314. xya+x2y2bWhich of the following is equivalent to the above expression?A. xy(b-axy)abB.xy( xyb-1a)C. ( xya-1b)yxD. xy(a-bxy)ab Correct Answer: A Difficult Level: 315. m+n4-4m+n=(x-4)(x+4)4(m+n)Which of the following is equivalent toxif the above equati
9、on is true for allmn?A. m-nB. m+nC. m-nD. m+n Correct Answer: D Difficult Level: 416. (yt)6t(lv)8vWhich of the following is equivalent to the above expression?A. y6ttl8vvB. v8vl8vt6ty6tC. (lv)4v+(yt)3t)(lv)4v(yt)3t)D. (vl)v4+(ty)t3)(ty)t3(vl)v4) Correct Answer: D Difficult Level: 417. (y232y+256k)(y
10、232y+256+k)=(y16)4100What is the value of k2in the above equation?Correct Answer: 100 Difficult Level: 418. (am)namnWhich of the following is equivalent to the above expression?A. 2amnB. a2mnC.am2n2D. amn+mn Correct Answer: B Difficult Level: 419. s3t3+1Which of the following is equivalent to the ab
11、ove expression?A. (st1)(s2t2+st+1)B. (st1)(st)2st+1)C. (st+1)(s2t2+st+1)D. (st+1)(st)2st+1) Correct Answer: D Difficult Level: 420. If 2m=xand7 n=y, then which of the following is equivalent to784mn?A. x2my4nB. x2ny4mC. x4my2nD. x4ny2m Correct Answer: D Difficult Level: 421. p+77-p-77 Which of the f
12、ollowing is equivalent to the above expression?A. p-p7B. p+p7C. 7+77D. 7-77 Correct Answer: C Difficult Level: 422. x2-2x-8x+3x+2x+3Which of the following is equivalent to the above expression for x3?A. 2(x-4)(x+2)3(x+3)B. (x-4)(x+2)2x+3C. (x-4)(x+2)2x2+6x+9D. 2(x-4)(x+2)x2+6x+9 Correct Answer: C Di
13、fficult Level: 423. (w-32)(w+72)Which of the following is equivalent to the above expression?A.(w-3)(w+7)2B. (2w+7)(2w-3)2C. (w-3)(w+7)4D. (2w+7)(2w-3)4 Correct Answer: D Difficult Level: 424. c(axb)d(bax)Which of the following is equivalent to the above expression?A. (axb)(c+d)B. (axb)2(c+d)C. (bax
14、)2(cd)D. (axb)(bax)(cd) Correct Answer: A Difficult Level: 425. (u+t)3Which of the following is equivalent to the above expression?A. u3+3ut+t3B. u3+3ut(u+t)+t3C. u3+6ut+t3D. u3+6u2t+6ut2+t3 Correct Answer: B Difficult Level: 426. a+bc-d-a+bd-cWhich of the following is equivalent to the above expres
15、sion forcd?A. 0B. 2bc-dC. 2(a+b)c-dD. 2a+2b2c-2d Correct Answer: C Difficult Level: 427. Ifx3+b3=(x+b)(x2xb+9), what is a possible value ofb?Correct Answer: 3或-3 Difficult Level: 228. a2x3a2+2x6Which of the following is equivalent to the above expression?A. (a2)(x3)2(x+3)B. (ax+3)(a2)C. (x+3)(a22)D. (x3)(a2+2) Correct Answer: D Difficult Level: 4