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​​ALGEBRA EXAMPLES

Find the two numbers

11/19/2021

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The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the
​two numbers.

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Four times the number of apples is five less than three times the number of pears.....

12/28/2020

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Four times the number of apples is five less than three times the number of pears.  If there are 32 pieces of fruit in all, how many are pears?

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Twelve people entered a room....

1/30/2019

 
Twelve people entered a room.  Three more than two-thirds of these people then left.  How many people remain
in the room ?

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A "find the number" word problem

1/24/2019

 
Six less than three times a number is four more than twice the number.  Find the number.
​A.)  44
B.)  2
C.)  1
​D.)  10

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Find the Number

2/7/2018

 
If the sum of three times a number and -5 is multiplied by 6, the answer is 42. Find the number.

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Find the two numbers given their difference and their product

12/4/2017

 
Find two positive numbers whose difference is 27 and whose product is 2680.
​


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Find the two numbers using a quadratic equation

12/4/2017

 
One number is equal to the square of another.  Find the numbers if both are positive and their sum is 2450. 
​

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Two consecutive even integers

11/19/2017

 
Find 2 consecutive even integers, such that their sum is equal to the difference of 3 times the larger and 2 times the smaller. 

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A "find the number" word problem

9/28/2017

 
Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number.  Find the number.
​


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Working with numbers

9/27/2017

 
If a number is added to the numerator of 5/7 and the same number is subtracted from the denominator, the result is
5.  ​Find the number. 

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