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Algebra Level 1 Test 2

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Question 1

If x + 1/x = 13, what is the value of x^{2} + 1/x^{2}?

Find the value of X & Y in 3X + 4Y = 25, 4X – 2Y = 4

A

X = 4 Y = 3

B

X = 3 Y = 4

C

X = 5 Y = 3

D

X = 3 Y = 3

Question 2 Explanation:

Multiply the second equation with 2 and then add both the equations, we get X= 3 and Y= 4

Question 3

If product of the two numbers is 24, find the Maximum value of the sum of the numbers ?

A

25

B

10

C

14

D

11

Question 3 Explanation:

The sum of the number will be maximum when the difference of the number is maximum : Hence axb= 24 so possible solution can be 1*24 = 24 (hence a=1 b =24 ) Maximum value of the sum = 1+24= 25

Question 4

If (a + b) = 36 and ab = 323, find (a – b)

A

6

B

2

C

1

D

7

Question 4 Explanation:

As a x b = 323, so possible pairs are 17 x 19, 323 x 1 So only possible pair for a+b= 36 is when a=17 b=19 Thus, the difference is option b

Question 5

If (a + b) = 70 and ab = 1221, find (a – b)

A

6

B

2

C

4

D

7

Question 5 Explanation:

As a x b = 1221 = so possible pairs are 37 x 33, 111 x 11, 1221 x 1 So only possible pair for a+b= 70 is when a=37 b=33 Thus, the difference is option 3

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