Algebra Level 1 Test 7

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Algebra Level 1 Test 7

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Question 1
If sum of the two numbers is 18, find the maximum value of the product?
A
81
B
17
C
36
D
80
Question 1 Explanation: 
a+b= 18
a x b  will be maximum when a - b =least
( which means the numbers are equal and their difference = zero )
Hence answer => 9 x 9 = 81
Question 2
If (a + b) = 32 and ab =255, find (a3 + b3)
A
8288
B
5034
C
9218
D
6698
Question 2 Explanation: 
As a x b = 255 = so possible pairs are 17*15 ,
85*3 So only possible pair for a+b= 32 is when a=17 b=15
Hence, the sum of cubes = 3375+4913= 8288
Question 3
A number is added to 4/7 th of its value, the sum of both the numbers is = 1331, then what is the number?
A
848
B
847
C
846
D
none
Question 3 Explanation: 
Let the number be A
Therefore A + 4A/7 = 1331
By solving A = 847
Question 4
Let f(x) = max (3x + 2, 7-5x), where x is integer. Then the minimum possible value of f(x) is
A
2
B
0
C
1
D
3
Question 4 Explanation: 
The answer can be find out by = x=0 or x=1
Hence f(x) minimum  is  2
Question 5
If one root of the equation x^2 -9x +18 =0 is half of the roots, find the roots.
A
-3,-6
B
3, 6
C
6,-6
D
-3, 6
Question 5 Explanation: 
The sum of roots= x +2x = 9 
( -b/a )hence x= 3 & 2x = 6
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