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Whole number Factors and Algebra tiles Quiz

Total questions: 13

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

What are the factors of the given Area Model?

a)

(2x +3)(2x+1)

b)

(2x+1)(x+3)

c)

(2x+3)2\left(2x+3\right)^2

d)

(2x+3)(x+1)\left(2x+3\right)\left(x+1\right)

2.

What are the factors in the image on the left?

a)


(x2+10x+25)\left(x^2+10x+25\right)

b)

(x+5)(x+3)\left(x+5\right)\left(x+3\right)

c)

(x+5)2\left(x+5\right)^2

d)

x2+10x +15x^2+10x\ +15

3.

If you arrange the tiles to make a perfect Square how many are left over?

(a)  

4.

If you were asked to make a Perfect Square Trinomial from the tiles pictured how many more ones tiles would you need?

(a)  

5.

What is the prime factorization of 630?

a)

25792\cdot5\cdot7\cdot9

b)

25632\cdot5\cdot63

c)

23572\cdot3\cdot5\cdot7

d)

232572\cdot3^2\cdot5\cdot7

6.

What is the Prime factorization for 4116.

a)

232732\cdot3^2\cdot7^3

b)

223732^2\cdot3\cdot7^3

c)

223722^2\cdot3\cdot7^2

d)

233722^3\cdot3\cdot7^2

7.

What is the prime factorization of 6860?

a)

235722^3\cdot5\cdot7^2

b)

225722^2\cdot5\cdot7^2

c)

252732\cdot5^2\cdot7^3

d)

225732^2\cdot5\cdot7^3

8.

Which best represents the greatest common factor of 84, 210 and 336?

a)

1680

b)

272\cdot7

c)

3273^2\cdot7

d)

2372\cdot3\cdot7

9.

Which best represents the Greatest common factors of 108,180,and 288?

a)

232\cdot3

b)

2232^2\cdot3

c)

22322^2\cdot3^2

d)

2322\cdot3^2

10.

Which best represents the greatest common factor for 90,108 and 252

a)

9

b)

323^2

c)

232\cdot3

d)

2322\cdot3^2

11.

Which of the following statements is NOT true about the number 64

a)

It is a perfect square number?

b)

it is a perfect Cube Number?

c)

Four is a factor of 64?

d)

Its prime forctorization is 252^5

12.

What is the solution to the following written as a product of its factors? 256\sqrt[]{256}

13.

What is the solution to the following written as a product of its factors? 17283\sqrt[3]{1728}