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SUMMATIVE ASSESSMENT 4 2ND QUARTER (9-MABUTI)

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.

1. Radicals are similar if ___________________.

a)

They have the same indices.

b)

They have the same radicands.

c)

They have the same coefficient.

d)

both A and C

2.

2. Perform the indicated operations: 45  85+ 65 54\sqrt[]{5}\ -\ 8\sqrt[]{5}+\ 6\sqrt[]{5}-\ \sqrt[]{5}  .

a)

3 5\sqrt[]{5}  

b)

5-\sqrt[]{5}  

c)

5\sqrt[]{5}  

d)

25-2\sqrt[]{5}  

3.

3. What is the simplest form of 57   228 3485\sqrt[]{7\ }\ -\ 2\sqrt[]{28}\ -3\sqrt[]{48}  ?

a)

37 12 33\sqrt[]{7}-\ 12\ \sqrt[]{3}  

b)

7  123\sqrt[]{7}\ -\ 12\sqrt[]{3}  

c)

37 + 1233\sqrt[]{7}\ +\ 12\sqrt[]{3}  

d)

7\sqrt[]{7}  

4.

4. To find the product of 2 3\sqrt[]{3}   and the binomial radicals 3 + 62\sqrt[]{3}\ +\ 6\sqrt[]{2}  , apply the _________ property.

a)

distributive

b)

inverse

c)

addition

d)

transitive

5.

5. The product of ( (32  + 4 )(32  4)\left(3\sqrt[]{2}\ \ +\ 4\ \right)\left(3\sqrt[]{2}\ -\ 4\right)  is ___________.

a)

(324)2\left(3\sqrt[]{2}-4\right)^2  

b)

(32+4)2\left(3\sqrt[]{2}+4\right)^2  

c)

20

d)

2

6.

6. What must you multiply to 6\sqrt[]{6}   to get 232\sqrt[]{3}  ?

a)

3\sqrt[]{3}  

b)

2

c)

2\sqrt[]{2}  

d)

3\sqrt[]{3}  

7.

7. What must you multiply to the denominator of 14+2\frac{1}{4+\sqrt[]{2}}  ?

a)

-4 + 2\sqrt[]{2}  

b)

4 - 2\sqrt[]{2}  

c)

4 + 2\sqrt[]{2}  

d)

-4 - 2\sqrt[]{2}  

8.

8. Divide 18  by 5\sqrt[]{18}\ \ by\ \sqrt[]{5}  .

a)

3510\frac{3}{5}\sqrt[]{10}  

b)

355\frac{3}{5}\sqrt[]{5}  

c)

353\sqrt[]{5}  

d)

3103\sqrt[]{10}  

9.

9. Complete the statement: "If the nth root of a number is divided by the nth root of another number, then the result is the nth root of the ________."

a)

quotient

b)

product

c)

sum

d)

difference

10.

10. Which is NOT a radical equation?

a)

2x + 7 = 202\sqrt[]{x}\ +\ 7\ =\ 20  

b)

x5  8 = 11x\sqrt[]{5}\ -\ 8\ =\ 11  

c)

3x5  = x + 4\sqrt[]{3x-5}\ \ =\ x\ +\ 4  

d)

2x+2  = x+10\sqrt[]{2x+2}\ \ =\ \sqrt[]{x+10}  

11.

11. Solve for the value of x in x = 4\sqrt[]{x}\ =\ 4  .

a)

2

b)

8

c)

16

d)

36

12.

12. Solve: x33= 2\sqrt[3]{x-3}=\ 2  .

a)

5

b)

7

c)

9

d)

11

13.

13. Solve the radical equation 2x  13=3x43\sqrt[3]{2x\ -\ 1}=\sqrt[3]{3x-4}  .

a)

3

b)

-3

c)

0

d)

2

14.

14. The square root of the sum of a number and 8 is 5. Find the number.

a)

13

b)

17

c)

33

d)

25

15.

15. The area of a square lot is 128 square meter. How long is the side of the square?

a)

424\sqrt[]{2}  m

b)

8m

c)

828\sqrt[]{2}  m

d)

16m