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​​ALGEBRA eXAMPLES

Solve for x

12/30/2020

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Solve 6x + 7 - (2x - 7) = 0  for x.

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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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How to find the slope of a line

12/27/2020

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Find the slope of a line perpendicular to the line y = 4x + 4.

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Find the x and y intercepts

10/18/2019

 
What are the x and y intercepts of 2x + 4y = 8 ?

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Solve the linear inequality

10/14/2019

 
Solve the inequality for x.
​(x - 1) - (1 - x) < (x - 1) - (2 - 2x)

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Using percent to find the height

3/20/2019

 
A 24-inch-tall picture frame is 20% as tall as the ceiling is high.  How high is the ceiling?
A.)  4.8 feet
B.)  10 feet
C.)  12 feet
​D.)  120 feet

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Find the missing side of the triangle, given the perimeter

2/19/2019

 
The perimeter of a triangle is 25 inches.  If side a is twice side b, which is 1/2 side c, what is the length of side b?
A.)  5
B.)  8
C.)  10
​D.)  15

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Find the lengths of the sides of the triangle

2/2/2019

 
Find the lengths of the sides of a triangle, if the side lengths are represented as x, x + 7, and 2x + 1.

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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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Solve the system by substitution

1/26/2019

 
Solve the following system of equations, algebraically, by substitution.

y + 2x = 3
x = 3y + 5

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Algebra House
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