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## Algebra Level 1 Test 7

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*Algebra Level 1 Test 7*. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

If sum of the two numbers is 18, find the maximum value of the product?

81 | |

17 | |

36 | |

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

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 (a

^{3}+ b^{3})8288 | |

5034 | |

9218 | |

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

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?

848 | |

847 | |

846 | |

none |

Question 3 Explanation:

Let the number be A

Therefore A + 4A/7 = 1331

By solving A = 847

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

2 | |

0 | |

1 | |

3 |

Question 4 Explanation:

The answer can be find out by = x=0 or x=1

Hence f(x) minimum is 2

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.

-3,-6 | |

3, 6 | |

6,-6 | |

-3, 6 |

Question 5 Explanation:

The sum of roots= x +2x = 9

( -b/a )hence x= 3 & 2x = 6

( -b/a )hence x= 3 & 2x = 6

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