1

 

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2

Solve for n

image

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3

Solve for n in the equation =1/2

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4

If image

Find values of x and y

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5

Rationalize the denominator of the expression

image

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6

If   image   , find the values of a, b and c.

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7

Solve equation   image    

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8

14. Rationalize the denominator to the simplest form:

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9

15. Simplify (-4g5)3

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10

 . Find the values of x and y if 

 

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11

Simplify the expressions:

(i)      image 

 

image 

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12

8. If image determine the value of image

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13

11. Express R as the subject of image

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14

6. Express in decimal notation image percent of image

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15

Solve for x in the equation 9(x?3) × 81(1?x) = 27?x .

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16

11.Rationalize the denominator of the expression 

image 

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17

3.Simplify the expression image 

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18

2.Which numbers are equal to their squares? 

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19

  Solve for x in the equation 4-2x × 82 = 4 × 16x .

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20

9.Find the value m + n, given that 7m × 5n = 875 .

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21

Find the value of x and y if  = 2025

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22

Find the value of x in the equation image 

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23

Solve the value of x if 

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24

Express the equation image = 1 in terms of P given that P = 3y

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25

(i) Express (?3 + 5)2 in the form a + b?3, where a and b are integers.

(ii) Express 

in the form p + q?3, where p and q are rational numbers.


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26

imageSolve for x if (811)?6x × 81 = ?9 .

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27

Simplify image by rationalizing the denominator.

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28

By using mathematical tables, evaluate  to three significant figures.

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29

Rationalize image

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30

Find the value of x for which 2x ? 16 = 81x

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31

By rationalizing the denominator, simplify the following expression.

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32

Simplify

(6 marks)

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33

Find the value of x if 8x-1 = 16

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34

Rationalize the denominator of the expression

 

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35

Find the value of image given that 3a x 5b = 675

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36

Without using mathematical tables, evaluate: .

image

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37

Two quantities are such that

  and , use these quantities to sow that:

(i)


(ii)

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38

Express x in terms of p and q from the formula . Hence, find the value of x if p = 3 and q = -1

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39

Find the value of x in the equation 9x34x =27(x-1) 

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40

Rationalize the denominator of 

image

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41

Use laws of exponents to simplify  

image 

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