Unit Test of Algebraic Expression of Eight Grade Mathematical Multiplication and Division (Part One)
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Unit Test of Algebraic Expression of Eight Grade Mathematical Multiplication and Division (Part One)
School: _ _ _ _ _ _ Class: _ _ _ _ _ Student ID: _ _ _ _ _ Name: _ _ _ _ _ _ Score: _ _ _ _ _ _ _ _
1. Judge right or wrong. (2 points for each small question, *** 10)
1.x.x6=x6()
2.t6-t2.t3=0()
3.(xy3)3=xy9()
4.(-x- 1)(x+ 1)=-(x+ 1)2 =-x2-2x- 1()
5.(m+n)(m-n)(m2+n2)=m4-n4()
2. Fill in the blanks. (2 points for each small question, ***20 points)
1.x.x2.x3=________，a2+a2+a2=__________
2.a . a()a5 = a 10。
3.(a2)3(a3)2=_______
4.(xy2)3=_________
5.(-x n- 1)4=_________
6.(P3)2 \p5 = _ _ _ _ _ _ _ _ _
7.x(x2-x)-2x(x2-x)=_________
8.(x -y)(x+y)(x2+y2)=_________
9. Decomposition coefficient: m3-65438+100m2+25m = _ _ _ _ _ _ _ _ _ _
10. Given that X+Y = 8 and X-Y = 6, then x2-y2-2x-2y = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. multiple choice questions. (3 points for each small question, ***24 points)
1. The following statement is true ()
a . a2+a3 = a5 b . a2 . a3 = a6 c . a3 . a4÷a5 = a2 d . a2 . a3 = 2 a5
2. The following calculation result of x n is ().
Answer. x n+ 1 . x n- 1 B . xn . x C x n- 1 . x d . x2n-x n
3. Comparing the sizes of (54)3 and 125 4, we can get ().
A.(54) 3 > 1254B。 (54) 3 < 1254C。 (54) 3 = 1254D。 Can't judge.
4. The following calculation errors are ()
A.「(-a)2」5 = a 10 b .(2xy) 10 = 2 10x 10y 10c . 0.25 4×4 4 = 1d .(-3x2y)2 = 6x4y 2
5.(-x2y3)6÷(-x2y3)2=()
a . x8y 12 b . x6y 9 c .-x8y 12d .-x6y 9
6. Calculate (a-4)(a+ 1)= ()
A.a2-4 B.a2+4 C.a2-3a-4 D.a2-4a-4
7.3a(x-y)-9b(y-x) factorization is correct ().
a . 3(x-y)(a+3b)b .(x-y)(3a+9b)c .(x-y)(3a-9b)d . 3(x-y)(a-3b)
8. The following factorization is correct ()
a . 4a 2-4a+ 1 = 4a(a- 1)+ 1 b . x4- 1 =(x2+ 1)(x2- 1)c . 9m 2-N2 = 9(m+n)(m-n)d . x3+2 x2+x = x(x+ 1)2
Four. Calculate or simplify. (5 points for each small question, ***20 points)
1.(5× 10 4)×(2× 10 3) 2.(-m+n)(m-n)
3.2000 2-200 1× 1999 4.(3a+b)2-(3a-b)2
5. Simplify the assessment. (6 points for each small question, *** 18 points)
1.3a (2a2-4a+3)-2a2 (3a+4), where a=2.
2. [(m-2n) 2+(m-2n) (m+2n)-2m (2m-n)] > 2m, where m = 1 and n =-2.
3. Given A+B = 5 and AB = 1, find the value of a2+b2.
Six. (8 points) On the four corners of a square open space with a side length of a meter, a small square with a side length of b meters should be set aside to build flower beds, and the rest of the ground should be planted with lawns.
(1) Use a and b to indicate the lawn area.
(2) Find the lawn area when a = 7.4m and b =1.3m. ..
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