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​​ALGEBRA eXAMPLES

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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Perimeter and Area of Rectangle Word Problem

1/15/2019

 
The base of a rectangle is seven times the height.  If the perimeter is 32 meters, what is the area?
A.)  28 m²
B.)  24 m²
C.)  16 m²
D.)  14 m²

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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 length of the rectangle

12/4/2017

 
A rectangle has a length of 15 feet less than 6 times its width.  If the area of the rectangle is 561 square feet, find the length of the rectangle.
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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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Gasoline mixture problem

11/12/2017

 
Peter decides to mix grades of gasoline in his truck. He puts in 5 gallons of regular and 10 gallons of premium for a total cost of $31.05 If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?

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Algebra House
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