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​​ALGEBRA eXAMPLES

Sum of two consecutive integers, find the product

2/17/2021

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The sum of two consecutive integers is -15.  What is the product of the two integers?

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Finding a number using a linear equation

6/16/2015

 
When 23 is added to a number, 99 is the result.  What is the number?

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Two consecutive integers word problem

12/2/2013

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When the smaller of two consecutive integers is added to four times the larger,  the result is 49.
Find the two integers

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Find three consecutive integers

12/1/2013

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Find three consecutive integers such that the sum of the first and three times the second is 44 less than five times the third.

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Find the missing number, given percents of the number

11/30/2013

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The sum of 30% of a number and 50% of the same number is 96.  What is the number?
x = the number

0.3x + 0.5x = 96   {changed percent to decimal and multiplied by number, added, and set equal to 96}
0.8x = 96   {combined like terms}
x = 120   {divided each side by 0.8}

the number is 120

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Find three consecutive integers...

8/20/2013

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Find three consecutive integers such three times the third integer added to one half of the first integer is 14 less than twice the second integer.

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Consecutive odd integers

2/9/2013

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What are three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three numbers?

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Find three consecutive integers

2/9/2013

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Find three consecutive integers, such that twice the first added to the last is 23.

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Sum of squares of two consecutive odd integers

2/15/2012

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The sum of the squares of two consecutive odd integers is 74. Find the two integers. 

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Find three consecutive integers

10/30/2011

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Find three consecutive integers whose sum is -114.

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Algebra House
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