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Mathematics

Question 1

a)

Solution

b) (5.5 3.5)3

= (2)3

= 8

c)

=

d)

=

Question 2

a)

If 2x2y = 5, then 4x4y2 =?

Solution

5 = 2x2y

4x4y2 = (2x2y)2

Therefore 4x4y2 = 52

= 4x4y2 = 25

b) 11% of 3500 is how much?

Solution

c)

Question 3

Expand and simplify

a)

Solution

b)

Solution

c)

Solution

d)

Solution

Question 4.

If the GNP of a certain country in 2000 was 8 billion dollars, write down an expression for the GNP 6 years later if it increases by 5% each year.

let x = 8 billion dollars

Then % increase per year = 5% of x

Therefore total increase = (5% of x) multiply by 6

GNP in 6 years = x + (5% of x) 6

= x + (x) 6

Question 5

Expand and simplify to a single fraction

a)

Solution

b)

Solution

c)

Solution

Question 6.

a) Solve the following.

=

=

=

b) Solve the following inequality.

=

=

c) Solve the following system of equations.

Solution

Let be equation I

And be equation II

Then in equation II;

Solving equation I using equation II;

=

=

=

=

Answer

5510

y

-=-

55

y

=

1

y

=

5

2

5

2

5

2

–

´

–

´

–

25

8

–

1917

1917

22

22

–

+

524288131072

524288131072

393216

655360

3

5

–

=

+

=

=

11

3500

100

38500

100

385

of

=

=

=

22

1312?

-=

169144

25

5

=-

=

=

5(32)2(3)

aabab

-+–

5(32)2(3)

53223

53223

aabab

aabab

aaabb

b

-+–

=—+

=—+

=

22

(2)(2)2(2)(2)

xxxx

++–+-

22

22

222

222

(2)(2)2(2)(2)

(44)(44)(24)(2)

(44442448)

(24444844)

16

xxxx

xxxxxx

xxxxxxx

xxxxxxx

++–+-

=+++-+-+-

=++-++-+-+

=+-++–+++

=

2

2

(1)(1)

xx

-+

2

2

22

23234

43322

42

(1)(1)

(12)(12)

(122422)

(224221)

(41)

xx

xxxx

xxxxxxxx

xxxxxxxx

xxx

-+

=-+++

=++—+++

=+-++–++

=+-+

3

(2)

a

–

3

322

32

(2)

(42848)

(6128)

a

aaaaa

aaa

–

=++—

=+–

1

20

of

11

23

–

11

23

32

6

1

6

–

–

=

=

32

4

77

7

´

63

51020

aaa

-+

63

51020

2423

20

25

20

1

1

4

aaa

aaa

a

a

-+

-+

=

=

=

11

23

11

46

–

–

32

6

32

12

–

=

–

1

6

1

12

=

112

61

2

=´

=

13

123

xx

=

-+

23

3

1

x

x

+

==

–

233(1)

xx

=+=-

2333

xx

+=-

34349

2401

16807

2401

7

´

=

=

=

2333

xx

-=–

6

x

-=-

6

x

=

1

0

3

x

x

–

£

+

1

(3)0(3)

3

x

xx

x

–

æö

+£+

ç÷

+

èø

10

x

-£

1

x

=

25

25

xy

xy

-=

+=

25

xy

-=

25

xy

+=

÷

ø

ö

ç

è

æ

–

÷

ø

ö

ç

è

æ

–

÷

ø

ö

ç

è

æ

–

5

2

5

2

5

2

52

xy

=-

2(52)5

yy

–=

(104)5

yy

–=

1055

y

-=

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Questions and Answers on Practical Work in Mathematics. (2022, Feb 20). Retrieved from https://essaylab.com/essays/questions-and-answers-on-practical-work-in-mathematics

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