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CM: Test1 3rd quarter (exponents, factoring)

Total questions: 40

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Simplify/Simplificar

(34x5y6z-7)0

2.

Simplify/Simplificar

  (2m4)(5m2)

3.

Simplify/Simplificar

(2x3y)6

4.

Simplify/Simplificar

 (2a2b4z)(6a3b2z5)

5.

Simplify/Simplificar

x3y2z6x-1yz-5

6.

Simplify/Simplificar

(7a2)(5a6b)2

7.

Simplify/Simplificar

(x2y3)2(xy)

8.

Simplify the expression: Simplifica la expresión

12x9y4z224x3y4z6\frac{12x^9y^4z^2}{24x^3y^4z^6}  

9.

Simplify/Simplificar

(981x)0(4x)3\left(981x\right)^0\left(4x\right)^3

10.

 Simplify the expression using the properties of exponents.   

Simplifica la expresión usando las propiedades de los exponentes.

  t12u7t2u\frac{t^{12}u^7}{t^2u}  

11.

 Simplify the expression using the properties of exponents.  Simplifica la expresión usando las propiedades de los exponentes.

  21x73x4\frac{21x^7}{3x^4}  

12.

 Simplify the expression using the properties of exponents. 

  Simplifica la expresión usando las propiedades de los exponentes.

t12u7t2u\frac{t^{12}u^7}{t^2u}  

13.

Factor

x2 -16x + 48

14.

Factor

x2 - 9 x - 36

15.
Factor completely.
3x2 + 10x - 8
16.
Factor completely.
5x2 - 7x + 2
17.
Factor
3x² + 17x + 10
18.

Factor
4n2-17n-15

19.
Factor Completely:  6x² + 5x - 6
20.

Which shows 3x2 – 8x + 4 completely factored?

a)

(3x – 2)(x + 2)

b)

(3x + 4)(x – 1)

c)

(x + 4)(3x – 1)

d)

(3x – 2)(x – 2)

21.

Factor

12k228k-12k^2-28k  

22.

Factor

12x5y3+30x4y412x^5y^3+30x^4y^4  

23.
Factor by grouping:
4p³+8p²+3p+6
24.

Factor:

7x3-8x2+42x-48

25.

What is the fully factored form of 4x2 - 8x - 60?

26.

factor the polynomial:  4b224b+204b^2-24b+20  

27.
Factor: 
25x2 - 100y2
28.

Factor the polynomial: 169x2 - 25y2

29.

Factor 4b5+4b3+16b2

30.
factor:x- 25
31.

Factor:

4x2 - 25

32.

What is the GCF? 5x2+20x

33.
Factor:
 2n2-8n3
34.
Factor:
x2 + 4xy + 4y2
35.
x+ 81
36.
Factor: x2 + 24x + 144
37.

What is the GCF of 18k and 15k3

38.
Factor:
56a3-8a
39.

Factor


8r3 + 16r2

40.

Factor: 12x2y4 - 6xy