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Algebra - Warm up

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

If 2x2 - 3x - 9 = 0, where x is a natural number, find the value of x.

a)

1

b)

2

c)

3

d)

4

2.

If x2+y2=17 and xy=4, then x4+y4 is

a)

289

b)

257

c)

207

d)

231

3.

 x6x=1x-\frac{6}{x}=1  , x is a natural number, then  (x+2)2\left(x+2\right)^2   is

a)

0

b)

25

c)

16

d)

9

4.

  \   19th\frac{1}{9}th  of  38th\frac{3}{8}th  of a number is 2 less than to  18th\frac{1}{8}th  of  23rd\frac{2}{3}rd of it. What is half of that number?

a)

2

b)

24

c)

16

d)

48

5.

A farm has some hens and some horses. If the number of heads is 36 and the number of feet is 92, then the number of horses will be:

a)

16

b)

26

c)

10

d)

None above

6.

50 students signed up for a quiz competition. There are 22 more boys than girls. How many more girls should sign up if there need to be at least 2 girls for every 3 boys in the competition?

a)

14

b)

16

c)

10

d)

8

7.

 32 (3x 2)=3(12x) +43-2\ \left(3x\ -2\right)=3\left(1-2x\right)\ +4  



Solve for x.

a)

2

b)

3

c)

0

d)

No solution

8.

 2x +32x+7=0\frac{2}{x}\ +\frac{3}{2x}+7=0  Solve for x.

a)

0

b)

 12\frac{1}{2}  

c)

 12-\frac{1}{2}  

d)

No solution

9.

In a box of apple two fifth apples were discarded. Rest of the apples sold for Rs. 240/- . at a rate of Rs. 160 per kg. How many kgs of apples were there in the box?

a)

2

b)

3

c)

2.5

d)

None above

10.

Father kept some 5 rs coins for 3 sisters to share equally amongst themselves. Eena came and picked up her share and left the rest. Meena sometime later, not knowing Eena already picked her share, did the same as Eena. Dika also did the same after a while. When father came he saw Rs 40 is still left. How much money would have each sister got if they would have shared equally?

a)

Rs. 30

b)

Rs. 40

c)

Rs. 50

d)

Rs. 45